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Communications on Pure and Applied Analysis

Short Title: Commun. Pure Appl. Anal.
Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO; Shanghai Jiao Tong University, Shanghai
ISSN: 1534-0392; 1553-5258/e
Online: https://www.aimsciences.org/cpaa
Comments: Indexed cover-to-cover
Documents Indexed: 2,499 Publications (since 2002)
References Indexed: 1,464 Publications with 40,345 References.
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Latest Issues

22, No. 4 (2023)
22, No. 3 (2023)
22, No. 2 (2023)
22, No. 1 (2023)
21, No. 12 (2022)
21, No. 11 (2022)
21, No. 10 (2022)
21, No. 9 (2022)
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14, No. 6 (2015)
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13, No. 6 (2014)
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12, No. 6 (2013)
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11, No. 6 (2012)
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10, No. 6 (2011)
10, No. 5 (2011)
10, No. 4 (2011)
10, No. 3 (2011)
10, No. 2 (2011)
10, No. 1 (2011)
9, No. 6 (2010)
9, No. 5 (2010)
9, No. 4 (2010)
9, No. 3 (2010)
9, No. 2 (2010)
9, No. 1 (2010)
8, No. 6 (2009)
...and 33 more Volumes
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Authors

26 Papageorgiou, Nikolaos S.
15 Tang, Chun-Lei
13 Tang, Xianhua
13 Zelik, Sergey V.
11 Goubet, Olivier
11 Kloeden, Peter Eris
11 Pata, Vittorino
10 Alves, Claudianor Oliveira
10 Ha, Seung-Yeal
10 Miranville, Alain M.
10 Rossi, Julio Daniel
10 Strichartz, Robert S.
9 Caraballo Garrido, Tomás
9 Feng, Zhaosheng
9 Tachim Medjo, Theodore
8 Grasselli, Maurizio
7 Fan, Jishan
7 Fang, Daoyuan
7 Giné, Jaume
7 Hu, Shouchuan
7 Li, Congming
7 Li, Wan-Tong
7 Mu, Chunlai
7 Ozawa, Tohru
7 Pecher, Hartmut
7 Shi, Junping
7 Wang, Wenjun
7 Yao, Zhengan
7 Zhou, Jun
6 Conti, Monica C.
6 Guo, Zongming
6 Miyagaki, Olimpio Hiroshi
6 Rădulescu, Vicenţiu D.
6 Valdinoci, Enrico
6 Valls Anglés, Cláudia
6 Wang, Lihe
6 Yotsutani, Shoji
6 Zajączkowski, Wojciech M.
5 Bao, Jiguang
5 Brunner, Hermann
5 Chen, Chiun-Chuan
5 Chen, Gui-Qiang G.
5 Chueshov, Igor’ Dmitrievich
5 Gasiński, Leszek
5 Jian, Huai-Yu
5 Ju, Hongjie
5 Li, Yachun
5 Liu, Chein-Shan
5 Lu, Guozhen
5 Ma, Li
5 Messaoudi, Salim A.
5 Nolasco de Carvalho, Alexandre
5 Ogawa, Takayoshi
5 Peral Alonso, Ireneo
5 Qin, Yuming
5 Reyes, Guillermo
5 Shen, Wenxian
5 Sheng, Wancheng
5 Shivaji, Ratnasingham
5 Sommen, Franciscus
5 Teng, Kaimin
5 Valero, José
5 Wang, Shu
5 Wei, Juncheng
5 Wu, Jianhua
5 Wu, Tsungfang
5 Yanagida, Eiji
5 Yang, Dachun
5 Yin, Jingxue
5 Zahrouni, Ezzeddine
5 Zhang, Jihui
5 Zhang, Yimin
4 Abdellaoui, Boumediene
4 Amirat, Youcef Aït
4 Aouaoui, Sami
4 Bravo, José Luis
4 Chen, Jianqing
4 Chen, Wenxiong
4 Chepyzhov, Vladimir V.
4 Cho, Yonggeun
4 Colliander, James E.
4 Cortázar, Carmen
4 Da Silva, Edcarlos Domingos
4 Deugoue, Gabriel
4 Ding, Yanheng
4 Do Ó, João M. Bezerra
4 Ferreira, Lucas Catão de Freitas
4 García-Huidobro, Marta
4 Gasull, Armengol
4 Guibé, Olivier
4 Guo, Jong-Shenq
4 Guo, Yuxia
4 Guo, Zhiming
4 Han, Maoan
4 He, Haiyang
4 Hwang, Gyeongha
4 Karlsen, Kenneth Hvistendahl
4 Kawohl, Bernd
4 Kurata, Kazuhiro
4 Langa, Jose’ Antonio
...and 3,534 more Authors
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Fields

1,916 Partial differential equations (35-XX)
324 Fluid mechanics (76-XX)
282 Ordinary differential equations (34-XX)
271 Dynamical systems and ergodic theory (37-XX)
188 Biology and other natural sciences (92-XX)
182 Operator theory (47-XX)
129 Global analysis, analysis on manifolds (58-XX)
107 Mechanics of deformable solids (74-XX)
106 Calculus of variations and optimal control; optimization (49-XX)
102 Numerical analysis (65-XX)
96 Functional analysis (46-XX)
86 Integral equations (45-XX)
84 Harmonic analysis on Euclidean spaces (42-XX)
78 Probability theory and stochastic processes (60-XX)
59 Systems theory; control (93-XX)
58 Differential geometry (53-XX)
53 Real functions (26-XX)
47 Statistical mechanics, structure of matter (82-XX)
38 Classical thermodynamics, heat transfer (80-XX)
32 Quantum theory (81-XX)
30 Measure and integration (28-XX)
30 Potential theory (31-XX)
28 Mechanics of particles and systems (70-XX)
27 Difference and functional equations (39-XX)
24 Optics, electromagnetic theory (78-XX)
20 Geophysics (86-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Approximations and expansions (41-XX)
15 Functions of a complex variable (30-XX)
15 Computer science (68-XX)
15 Operations research, mathematical programming (90-XX)
14 Special functions (33-XX)
14 Statistics (62-XX)
13 General and overarching topics; collections (00-XX)
11 Information and communication theory, circuits (94-XX)
10 Integral transforms, operational calculus (44-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Abstract harmonic analysis (43-XX)
6 Astronomy and astrophysics (85-XX)
5 General topology (54-XX)
5 Relativity and gravitational theory (83-XX)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Number theory (11-XX)
4 Topological groups, Lie groups (22-XX)
4 Sequences, series, summability (40-XX)
4 Convex and discrete geometry (52-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Associative rings and algebras (16-XX)
2 Group theory and generalizations (20-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

1,822 Publications have been cited 13,114 times in 11,121 Documents Cited by Year
On the stationary solutions of generalized reaction diffusion equations with \(p\)& \(q\)-Laplacian. Zbl 1210.35090
Cherfils, L.; Il’yasov, Y.
147
2005
A Brezis-Nirenberg result for non-local critical equations in low dimension. Zbl 1302.35413
Servadei, Raffaella; Valdinoci, Enrico
136
2013
Convergence of generalized proximal point algorithms. Zbl 1095.90115
Marino, Giuseppe; Xu, Hong-Kun
95
2004
Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations. Zbl 1264.35237
Wei, Juncheng; Yao, Wei
91
2012
Quasilinear Schrödinger equations involving concave and convex nonlinearities. Zbl 1171.35118
do Ó, João Marcos; Severo, Uberlandio
79
2009
On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417
Gilardi, Gianni; Miranville, A.; Schimperna, Giulio
79
2009
The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system. Zbl 1197.35164
Guo, Lihui; Sheng, Wancheng; Zhang, Tong
79
2010
A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020
Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H.
75
2009
A Liouville type theorem for an integral system. Zbl 1134.45007
Ma, Li; Chen, Dezhong
68
2006
Reduced symmetry elements in linear elasticity. Zbl 1154.74041
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
65
2009
Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent. Zbl 1197.35168
Zelik, Sergey
59
2004
Periodic solutions of nonlinear periodic differential systems with a small parameter. Zbl 1139.34036
Buică, Adriana; Françoise, Jean-Pierre; Llibre, Jaume
58
2007
Persistent regional null controllability for a class of degenerate parabolic equations. Zbl 1063.35092
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
56
2004
Eigenvalue, maximum principle and regularity for fully non linear homogeneous operators. Zbl 1132.35032
Birindelli, I.; Demengel, F.
54
2007
On fractional Schrödinger equations in Sobolev spaces. Zbl 1338.35466
Hong, Younghun; Sire, Yannick
54
2015
Almost periodicity analysis for a delayed Nicholson’s blowflies model with nonlinear density-dependent mortality term. Zbl 1493.34221
Huang, Chuangxia; Zhang, Hua; Huang, Lihong
50
2019
Some observations on the Green function for the ball in the fractional Laplace framework. Zbl 1334.35383
Bucur, Claudia
50
2016
Concentration phenomenon for fractional nonlinear Schrödinger equations. Zbl 1304.35634
Chen, Guoyuan; Zheng, Youquan
49
2014
Weakly dissipative semilinear equations of viscoelasticity. Zbl 1101.35016
Conti, Monica; Pata, Vittorino
49
2005
Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights. Zbl 1174.35386
Chuaqui, M.; Cortazar, C.; Elgueta, M.; Garcia-Melian, J.
48
2004
A blowup alternative result for fractional nonautonomous evolution equation of Volterra type. Zbl 1397.35331
Chen, Pengyu; Zhang, Xuping; Li, Yongxiang
44
2018
Smooth attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities. Zbl 1264.35054
Kalantarov, Varga K.; Zelik, Sergey
44
2012
Global weak solutions for a viscous liquid-gas model with singular pressure law. Zbl 1175.76143
Evje, Steinar; Karlsen, Kenneth Hvistendahl
43
2009
The Nehari manifold for fractional systems involving critical nonlinearities. Zbl 06636876
He, Xiaoming; Squassina, Marco; Zou, Wenming
41
2016
Existence and multiplicity of solutions for Kirchhoff type problem with critical exponent. Zbl 1264.65206
Xie, Qi-Lin; Wu, Xing-Ping; Tang, Chun-Lei
41
2013
Renormalized solutions of an anisotropic reaction-diffusion-advection system with \(L^1\) data. Zbl 1134.35371
Bendahmane, Mostafa; Karlsen, Kenneth H.
40
2006
A result on the existence of global attractors for semigroups of closed operators. Zbl 1152.47046
Pata, Vittorino; Zelik, Sergey
40
2007
Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion. Zbl 1213.35266
Bertozzi, Andrea L.; Slepčev, Dejan
40
2010
Homoclinic solutions of discrete \(\phi\)-Laplacian equations with mixed nonlinearities. Zbl 1396.39008
Lin, Genghong; Zhou, Zhan
39
2018
Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks. Zbl 1228.35242
Kirane, Mokhtar; Said-Houari, Belkacem; Anwar, Mohamed Naim
39
2011
Super polyharmonic property of solutions for PDE systems and its applications. Zbl 1270.35224
Chen, Wenxiong; Li, Congming
39
2013
Regularity of solutions for a system of integral equations. Zbl 1073.45004
Chen, Wenxiong; Li, Congming
38
2005
On quasilinear elliptic equations related to some Caffarelli-Kohn-Nirenberg inequalities. Zbl 1148.35324
Abdellaoui, B.; Peral, I.
38
2003
A remark on the damped wave equation. Zbl 1140.35533
Pata, Vittorino; Zelik, Sergey
38
2006
Traveling waves of a delayed diffusive SIR epidemic model. Zbl 1422.35106
Li, Yan; Li, Wan-Tong; Lin, Guo
38
2015
Blowup in higher dimensional two species chemotactic systems. Zbl 1278.35250
Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio
38
2013
Asymptotic behavior of a parabolic-hyperbolic system. Zbl 1079.35022
Grasselli, Maurizio; Pata, Vittorino
37
2004
A logistic equation with refuge and nonlocal diffusion. Zbl 1180.45002
García-Melián, J.; Rossi, Julio D.
37
2009
Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139
Arendt, Wolfgang; Mazzeo, Rafe
37
2012
Positive solutions to a Dirichlet problem with \(p\)-Laplacian and concave-convex nonlinearity depending on a parameter. Zbl 1270.35219
Marano, Salvatore A.; Papageorgiou, Nikolaos S.
37
2013
A new approach to study the Vlasov-Maxwell system. Zbl 1037.35088
Klainerman, Sergiu; Staffilani, Gigliola
35
2002
The extremal solution of a boundary reaction problem. Zbl 1156.35039
Dávila, Juan; Dupaigne, Louis; Montenegro, Marcelo
35
2008
An evolution equation involving the normalized \(p\)-Laplacian. Zbl 1229.35132
Does, Kerstin
35
2011
Remarks on some dispersive estimates. Zbl 1232.35136
Cho, Yonggeun; Ozawa, Tohru; Xia, Suxia
35
2011
Qualitative analysis and travelling wave solutions for the SI model with vertical transmission. Zbl 1264.35254
Ducrot, Arnaud; Langlais, Michel; Magal, Pierre
35
2012
Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients. Zbl 1084.35034
Chen, Gui-Qiang; Karlsen, Kenneth H.
34
2005
Time-frequency analysis of Fourier integral operators. Zbl 1196.42027
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
34
2010
Multiple positive solutions for Kirchhoff type problems with singularity. Zbl 1270.35242
Liu, Xing; Sun, Yijing
34
2013
Asymptotic behavior of solutions to the phase-field equations with Neumann boundary conditions. Zbl 1082.35033
Zhang, Zhenhua
34
2005
Twelve limit cycles in a cubic order planar system with \(Z_2\) symmetry. Zbl 1085.34028
Yu, P.; Han, M.
33
2004
Eventual compactness for semiflows generated by nonlinear age-structured models. Zbl 1083.47061
Magal, P.; Thieme, H. R.
33
2004
On existence and concentration behavior of ground state solutions for a class of problems with critical growth. Zbl 1183.35121
Alves, C. O.; Souto, M. A. S.
33
2002
Localized BMO and BLO spaces on RD-spaces and applications to Schrödinger operators. Zbl 1188.42008
Yang, Dachun; Yang, Dongyong; Zhou, Yuan
33
2010
On the orbital stability of fractional Schrödinger equations. Zbl 1282.35319
Cho, Yonggeun; Hajaiej, Hichem; Hwang, Gyeongha; Ozawa, Tohru
33
2014
Multicomponent reactive flows: global-in-time existence for large data. Zbl 1323.76091
Feireisl, Eduard; Petzeltová, Hana; Trivisa, Konstantina
32
2008
Null controllability and stabilization of the linear Kuramoto-Sivashinsky equation. Zbl 1188.93018
Cerpa, Eduardo
32
2010
The vanishing pressure limits of Riemann solutions to the Chaplygin gas equations with a source term. Zbl 1357.35221
Guo, Lihui; Li, Tong; Yin, Gan
31
2017
A sixth order Cahn-Hilliard type equation arising in oil-water-surfactant mixtures. Zbl 1229.35108
Pawłow, Irena; Zajączkowski, Wojciech M.
31
2011
Compactness of discrete approximate solutions to parabolic PDEs – application to a turbulence model. Zbl 1308.35208
Gallouët, T.; Latché, J.-C.
31
2012
Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations. Zbl 1264.76132
Duan, Renjun; Yang, Xiongfeng
31
2013
A fixed point result with applications in the study of viscoplastic frictionless contact problems. Zbl 1171.47047
Sofonea, Mircea; Avramescu, Cezar; Matei, Andaluzia
30
2008
Vorticity and regularity for flows under the Navier boundary condition. Zbl 1132.35067
Beirão da Veiga, H.
30
2006
Smoothing transformation and piecewise polynomial projection methods for weakly singular Fredholm integral equations. Zbl 1133.65118
Pedas, A.; Vainikko, G.
30
2006
Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis. Zbl 1264.65148
Saito, Norikazu
30
2012
Pullback exponential attractors for evolution processes in Banach spaces: theoretical results. Zbl 1390.37126
De Carvalho, Alexandre Nolasco; Sonner, Stefanie
30
2013
High order product integration methods for a Volterra integral equation with logarithmic singular kernel. Zbl 1066.65162
Diogo, T.; Franco, N. B.; Lima, P.
29
2004
Factor-analysis of nonlinear mappings: \(p\)-regularity theory. Zbl 1053.58004
Tret’yakov, Alexey; Marsden, Jerrold E.
29
2003
Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval. Zbl 1397.35262
Tian, Shou-Fu
29
2018
Nonsimultaneous blow-up for a quasilinear parabolic system with reaction at the boundary. Zbl 1093.35031
Brändle, C.; Quirós, F.; Rossi, Julio D.
29
2005
Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation. Zbl 1078.92004
Du, Q.; Liu, C.; Ryham, R.; Wang, X.
29
2005
Homoclinic orbits for discrete Hamiltonian systems with local super-quadratic conditions. Zbl 1401.39017
Zhang, Qinqin
28
2019
High multiplicity and complexity of the bifurcation diagrams of large solutions for a class of superlinear indefinite problems. Zbl 1281.34027
López-Góme, Julián; Tellini, Andrea; Zanolin, Fabio
28
2014
Comparison of numerical methods for fractional differential equations. Zbl 1133.65115
Ford, Neville J.; Connolly, Joseph A.
27
2006
Solutions of a pure critical exponent problem involving the half-Laplacian in annular-shaped domains. Zbl 1236.35073
Capella, Antonio
27
2011
Existence of nontrivial steady states for populations structured with respect to space and a continuous trait. Zbl 1303.92091
Arnold, Anton; Desvillettes, Laurent; Prévost, Céline
27
2012
On the blow-up boundary solutions of the Monge-Ampére equation with singular weights. Zbl 1266.35018
Yang, Haitao; Chang, Yibin
27
2012
Coexistence and extinction in the Volterra-Lotka competition model with nonlocal dispersal. Zbl 1264.35113
Hetzer, Georg; Nguyen, Tung; Shen, Wenxian
27
2012
Existence of solutions for singularly perturbed Schrödinger equations with nonlocal part. Zbl 1270.35218
Yang, Minbo; Ding, Yanheng
27
2013
Long time behavior for the inhomogeneous PME in a medium with slowly decaying density. Zbl 1169.35313
Reyes, Guillermo; Vázquez, Juan-Luis
26
2009
Equivalence of invariant measures and stationary statistical solutions for the autonomous globally modified Navier-Stokes equations. Zbl 1168.35412
Kloeden, P. E.; Marín-Rubio, Pedro; Real, José
26
2009
Convergence to equilibrium for the backward Euler scheme and applications. Zbl 1215.65132
Merlet, Benoît; Pierre, Morgan
26
2010
The singularity analysis of solutions to some integral equations. Zbl 1137.45002
Li, Congming; Lim, Jisun
25
2007
On the blow-up solutions for the fractional nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1397.35269
Feng, Binhua
25
2018
The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains. Zbl 1157.58007
Reyes, Guillermo; Vázquez, Juan-Luis
25
2008
Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications. Zbl 1181.26024
Qi, Feng; Guo, Bai-Ni
25
2009
Elliptic equations having a singular quadratic gradient term and a changing sign datum. Zbl 1266.35103
Giachetti, Daniela; Petitta, Francesco; Segura De León, Sergio
25
2012
Distributional chaos for strongly continuous semigroups of operators. Zbl 1287.47007
Albanese, Angela A.; Barrachina, Xavier; Mangino, Elisabetta M.; Peris, Alfredo
25
2013
Remarks on the strong maximum principle for viscosity solutions to fully nonlinear parabolic equations. Zbl 1065.35084
Da Lio, Francesca
24
2004
Existence and regularity results for the primitive equations in two space dimensions. Zbl 1060.35033
Petcu, M.; Temam, R.; Wirosoetisno, D.
24
2004
Global gradient estimates in elliptic problems under minimal data and domain regularity. Zbl 1325.35027
Cianchi, Andrea; Maz’ya, Vladimir
24
2015
Dynamics of a host-pathogen system on a bounded spatial domain. Zbl 1328.35104
Wang, Feng-Bin; Shi, Junping; Zou, Xingfu
24
2015
Semi-positone nonlocal boundary value problems of arbitrary order. Zbl 1200.34025
Webb, J. R. L.; Infante, Gennaro
24
2010
Optimal Hardy inequalities for general elliptic operators with improvements. Zbl 1190.35065
Cowan, Craig
24
2010
The inverse Fueter mapping theorem. Zbl 1258.30022
Colombo, Fabrizio; Sabadini, Irene; Sommen, Frank
24
2011
Kirchhoff systems with nonlinear source and boundary damping terms. Zbl 1223.35082
Autuori, Giuseppina; Pucci, Patrizia
24
2010
The geometry of a vorticity model equation. Zbl 1372.58005
Escher, Joachim; Kolev, Boris; Wunsch, Marcus
24
2012
The effect of delay on a diffusive predator-prey system with Holling type-II predator functional response. Zbl 1264.35120
Chen, Shanshan; Shi, Junping; Wei, Junjie
24
2013
A class of generalized quasilinear Schrödinger equations. Zbl 1335.35038
Shen, Yaotian; Wang, Youjun
23
2016
Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent. Zbl 1334.35402
Teng, Kaimin; He, Xiumei
23
2016
Existence and longtime behavior of a biofilm model. Zbl 1175.35017
Efendiev, Messoud A.; Zelik, Sergey; Eberl, Hermann J.
23
2009
Analysis of COVID-19 epidemic transmission trend based on a time-delayed dynamic model. Zbl 07675956
Zhang, Tailei; Li, Zhimin
1
2023
Self-improving inequalities for bounded weak solutions to nonlocal double phase equations. Zbl 1481.35105
Scott, James M.; Mengesha, Tadele
6
2022
Global well-posedness and exponential decay for 3D nonhomogeneous magneto-micropolar fluid equations with vacuum. Zbl 1482.35183
Zhong, Xin
4
2022
Hopf’s lemmas for parabolic fractional \(p\)-Laplacians. Zbl 1500.35306
Wang, Pengyan; Chen, Wenxiong
4
2022
Formation of singularities of solutions to the Cauchy problem for semilinear Moore-Gibson-Thompson equations. Zbl 1487.35125
Ming, Sen; Yang, Han; Fan, Xiongmei
3
2022
Inverse scattering transform and soliton solutions of an integrable nonlocal Hirota equation. Zbl 1480.35308
Li, Yuan; Tian, Shou-Fu
3
2022
Self-similar blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension. Zbl 1484.35108
Iagar, Razvan Gabriel; Muñoz, Ana Isabel; Sánchez, Ariel
3
2022
A convergent finite difference method for computing minimal Lagrangian graphs. Zbl 1493.65173
Hamfeldt, Brittany Froese; Lesniewski, Jacob
2
2022
Variation and oscillation for harmonic operators in the inverse Gaussian setting. Zbl 1489.42007
Almeida, Víctor; Betancor, Jorge J.
2
2022
Asymptotics for some discretizations of dynamical systems, application to second order systems with non-local nonlinearities. Zbl 1491.65065
Horsin, Thierry; Jendoubi, Mohamed Ali
2
2022
Multiplicity results for nonhomogeneous elliptic equations with singular nonlinearities. Zbl 1490.35186
Arora, Rakesh
2
2022
Circular average relative to fractal measures. Zbl 1505.35259
Ham, Seheon; Ko, Hyerim; Lee, Sanghyuk
2
2022
Strongly singular convective elliptic equations in \(\mathbb{R}^N\) driven by a non-homogeneous operator. Zbl 1501.35238
Gambera, Laura; Guarnotta, Umberto
2
2022
A non-convex non-smooth bi-level parameter learning for impulse and Gaussian noise mixture removing. Zbl 1491.65049
Nachaoui, Mourad; Afraites, Lekbir; Hadri, Aissam; Laghrib, Amine
2
2022
Monotonicity and nonexistence of positive solutions for pseudo-relativistic equation with indefinite nonlinearity. Zbl 1487.35402
Guo, Yuxia; Peng, Shaolong
1
2022
Hölder-logarithmic type approximation for nonlinear backward parabolic equations connected with a pseudo-differential operator. Zbl 1487.35224
Hai, Dinh Nguyen Duy
1
2022
The number of limit cycles by perturbing a piecewise linear system with three zones. Zbl 1501.34021
Zhang, Xiaolei; Xiong, Yanqin; Zhang, Yi
1
2022
Geophysics and Stuart vortices on a sphere meet differential geometry. Zbl 1489.86008
Rudnicki, Łukasz
1
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Radial quasilinear elliptic problems with singular or vanishing potentials. Zbl 1481.35234
Badiale, Marino; Guida, Michela; Rolando, Sergio
1
2022
Periodic solutions with prescribed minimal period for second order even Hamiltonian systems. Zbl 1489.37077
Kuang, Juhong; Chen, Weiyi; Guo, Zhiming
1
2022
On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces. Zbl 1496.76161
Jolly, Michael S.; Kumar, Anuj; Martinez, Vincent R.
1
2022
Singular solutions of a Hénon equation involving a nonlinear gradient term. Zbl 1483.35100
Cowan, Craig; Razani, Abdolrahman
1
2022
A priori estimates for the fractional \(p\)-Laplacian with nonlocal Neumann boundary conditions and applications. Zbl 1481.35384
Mugnai, Dimitri; Perera, Kanishka; Lippi, Edoardo Proietti
1
2022
Subharmonic solutions of bounded coupled Hamiltonian systems with sublinear growth. Zbl 1490.34048
Chen, Fanfan; Qian, Dingbian; Sun, Xiying; Wu, Yinyin
1
2022
A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition. Zbl 1486.65123
Okumura, Makoto; Fukao, Takeshi; Furihata, Daisuke; Yoshikawa, Shuji
1
2022
On a nonlinear Laplace equation related to the boundary Yamabe problem in the upper-half space. Zbl 1484.35238
Yomgne, Gael Diebou
1
2022
Multiple non-radially symmetrical nodal solutions for the Schrödinger system with positive quasilinear term. Zbl 1484.35184
Chen, Jianqing; Zhang, Qian
1
2022
Nonnegative solutions to a doubly degenerate nutrient taxis system. Zbl 1483.35127
Li, Genglin; Winkler, Michael
1
2022
A flow method for a generalization of \(L_p\) Christofell-Minkowski problem. Zbl 1485.35253
Li, Boya; Ju, Hongjie; Liu, Yannan
1
2022
On regularity and stability for a class of nonlocal evolution equations with nonlinear perturbations. Zbl 1484.35064
Tran, Dinh-Ke; Nguyen, Nhu-Thang
1
2022
Improved Hardy-Rellich inequalities. Zbl 1490.35013
Cassano, Biagio; Cossetti, Lucrezia; Fanelli, Luca
1
2022
Global regularity estimates for Neumann problems of elliptic operators with coefficients having a BMO anti-symmetric part in NTA domains. Zbl 1489.35054
Yang, Sibei; Yang, Dachun; Ma, Wenxian
1
2022
Spectral stability of small-amplitude dispersive shocks in quantum hydrodynamics with viscosity. Zbl 07622310
Folino, Raffaele; Plaza, Ramón G.; Zhelyazov, Delyan
1
2022
On the almost sure scattering for the energy-critical cubic wave equation with supercritical data. Zbl 1502.35025
Spitz, Martin
1
2022
On the polyanalytic short-time Fourier transform in the quaternionic setting. Zbl 07669014
De Martino, Antonino; Diki, Kamal
1
2022
Ground state solutions for the fractional problems with dipole-type potential and critical exponent. Zbl 1487.35051
Su, Yu; Feng, Zhaosheng
1
2022
Spreading speed and periodic traveling waves of a time periodic and diffusive SI epidemic model with demographic structure. Zbl 1487.35222
Wang, Shuang-Ming; Feng, Zhaosheng; Wang, Zhi-Cheng; Zhang, Liang
1
2022
Multi-dimensional degenerate operators in \(L^p\)-spaces. Zbl 1490.35120
Fornaro, Simona; Metafune, Giorgio; Pallara, Diego; Schnaubelt, Roland
1
2022
Energy-dissipation for time-fractional phase-field equations. Zbl 1498.35584
Li, Dong; Quan, Chaoyu; Xu, Jiao
1
2022
On the exponential time-decay for the one-dimensional wave equation with variable coefficients. Zbl 1498.35063
Arnold, Anton; Geevers, Sjoerd; Perugia, Ilaria; Ponomarev, Dmitry
1
2022
Stability of hydrostatic equilibrium for the 2D BMHD system with partial dissipation. Zbl 1497.35357
Bian, Dongfen; Mao, Jingjing; Pu, Xueke
1
2022
Noise effect in a stochastic generalized Camassa-Holm equation. Zbl 1498.35641
Miao, Yingting; Wang, Zhenzhen; Zhao, Yongye
1
2022
Parabolic systems with measurable coefficients in weighted Sobolev spaces. Zbl 1500.35199
Kim, Doyoon; Kim, Kyeong-Hun; Lee, Kijung
1
2022
Plateau-Rayleigh instability of singular minimal surfaces. Zbl 1504.53080
López, Rafael
1
2022
Existence of solutions for a class of quasilinear elliptic equations with a parameter. Zbl 1501.35207
Saeedi, Ghulamullah; Waseel, Farhad; Jalal, Hadia
1
2022
On analyticity up to the boundary for critical quasi-geostrophic equation in the half space. Zbl 1490.35504
Iwabuchi, Tsukasa
1
2022
On the reducibility of analytic quasi-periodic systems with Liouvillean basic frequencies. Zbl 07512005
Zhang, Dongfeng; Xu, Junxiang
1
2022
Semilinear Caputo time-fractional pseudo-parabolic equations. Zbl 1460.35381
Tuan, Nguyen Huy; Au, Vo Van; Xu, Runzhang
14
2021
Analytical and numerical monotonicity results for discrete fractional sequential differences with negative lower bound. Zbl 1469.39003
Goodrich, Christopher S.; Lyons, Benjamin; Velcsov, Mihaela T.
8
2021
A stability result for the Steklov Laplacian eigenvalue problem with a spherical obstacle. Zbl 1460.35086
Paoli, Gloria; Piscitelli, Gianpaolo; Sannipoli, Rossanno
7
2021
Asymptotic expansion of the ground state energy for nonlinear Schrödinger system with three wave interaction. Zbl 1479.35799
Kurata, Kazuhiro; Osada, Yuki
6
2021
Least energy sign-changing solutions for Schrödinger-Poisson system with critical growth. Zbl 1480.35155
Chen, Xiaoping; Tang, Chunlei
5
2021
Existence of multi-peak solutions to the Schnakenberg model with heterogeneity on metric graphs. Zbl 1466.35014
Ishii, Yuta; Kurata, Kazuhiro
5
2021
Elliptic problems with rough boundary data in generalized Sobolev spaces. Zbl 1460.35116
Anop, Anna; Denk, Robert; Murach, Aleksandr
4
2021
Stability results of a singular local interaction elastic/viscoelastic coupled wave equations with time delay. Zbl 1476.93129
Akil, Mohammad; Badawi, Haidar; Wehbe, Ali
4
2021
Extremal functions for a class of trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary. Zbl 1478.46040
Zhang, Mengjie
4
2021
Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body. Zbl 1472.35092
Bulíček, Miroslav; Patel, Victoria; Şengül, Yasemin; Süli, Endre
4
2021
A note on the nonexistence of global solutions to the semilinear wave equation with nonlinearity of derivative-type in the generalized Einstein-de Sitter spacetime. Zbl 1479.35138
Hamouda, Makram; Hamza, Mohamed Ali; Palmieri, Alessandro
4
2021
Uniform stability of the relativistic Cucker-Smale model and its application to a mean-field limit. Zbl 1484.82021
Ahn, Hyunjin; Ha, Seung-Yeal; Kim, Jeongho
3
2021
Limit cycle bifurcations in a class of piecewise smooth cubic systems with multiple parameters. Zbl 1465.34036
Cai, Meilan; Han, Maoan
3
2021
Scattering of the focusing energy-critical NLS with inverse square potential in the radial case. Zbl 1460.35335
Yang, Kai
3
2021
Blow-up solutions and strong instability of ground states for the inhomogeneous nonlinear Schrödinger equation. Zbl 1460.35315
Ardila, Alex H.; Cardoso, Mykael
3
2021
High-order Wong-Zakai approximations for non-autonomous stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\). Zbl 1460.35404
Zhao, Wenqiang; Zhang, Yijin
3
2021
Weighted multipolar Hardy inequalities and evolution problems with Kolmogorov operators perturbed by singular potentials. Zbl 1470.35008
Canale, Anna; Pappalardo, Francesco; Tarantino, Ciro
3
2021
Boundedness and asymptotic stability in a quasilinear two-species chemotaxis system with nonlinear signal production. Zbl 1475.92035
Pan, Xu; Wang, Liangchen
3
2021
Positive solutions for Choquard equation in exterior domains. Zbl 1480.35257
Chen, Peng; Liu, Xiaochun
3
2021
Asymptotics for the concentrated field between closely located hard inclusions in all dimensions. Zbl 1478.78042
Zhao, Zhiwen; Hao, Xia
3
2021
On a supersonic-sonic patch arising from the Frankl problem in transonic flows. Zbl 1500.35228
Hu, Yanbo; Li, Jiequan
3
2021
Rational limit cycles of Abel equations. Zbl 1471.34062
Llibre, Jaume; Valls, Claudia
3
2021
Classification of positive solutions for fully nonlinear elliptic equations in unbounded cylinders. Zbl 1466.35171
Wang, Lidan; Wang, Lihe; Zhou, Chunqin
3
2021
Nonlinear Choquard equations with Hardy-Littlewood-Sobolev critical exponents. Zbl 1466.35164
Luo, Xiaorong; Mao, Anmin; Sang, Yanbin
3
2021
Multiplicity of solutions for a class of fractional elliptic problems with critical exponential growth and nonlocal Neumann condition. Zbl 1466.35352
Alves, Claudianor O.; Ledesma, César T.
3
2021
Sharp gradient estimates on weighted manifolds with compact boundary. Zbl 1482.58012
Dung, Ha Tuan; Dung, Nguyen Thac; Wu, Jiayong
2
2021
Classification of positive radial solutions to a weighted biharmonic equation. Zbl 1481.35158
Yan, Yuhao
2
2021
A note on Riemann-Liouville fractional Sobolev spaces. Zbl 1472.46035
Carbotti, Alessandro; Comi, Giovanni E.
2
2021
Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity. II: Supercritical blow-up profiles. Zbl 1460.35328
Holmer, Justin; Liu, Chang
2
2021
Stability and dynamic transition of a toxin-producing phytoplankton-zooplankton model with additional food. Zbl 1460.35027
Xing, Chao; Pan, Jiaojiao; Luo, Hong
2
2021
Dimension estimate of attractors for complex networks of reaction-diffusion systems applied to an ecological model. Zbl 1460.35045
Cantin, Guillaume; Aziz-Alaoui, M. A.
2
2021
Random data theory for the cubic fourth-order nonlinear Schrödinger equation. Zbl 1460.35323
Dinh, Van Duong
2
2021
Further regularity and uniqueness results for a non-isothermal Cahn-Hilliard equation. Zbl 1460.35289
Ipocoana, Erica; Zafferi, Andrea
2
2021
Ground state and nodal solutions for fractional Schrödinger-Maxwell-Kirchhoff systems with pure critical growth nonlinearity. Zbl 1460.35142
Liu, Chungen; Zhang, Huabo
2
2021
Sub-solutions and a point-wise Hopf’s lemma for fractional \(p\)-Laplacian. Zbl 1460.35377
Li, Zaizheng; Zhang, Qidi
2
2021
Multiple positive solutions for coupled Schrödinger equations with perturbations. Zbl 1460.35129
Li, Haoyu; Wang, Zhi-Qiang
2
2021
Ground states for a class of quasilinear Schrödinger equations with vanishing potentials. Zbl 1460.35094
Li, Zhouxin; Zhang, Yimin
2
2021
On the Calderon-Zygmund property of Riesz-transform type operators arising in nonlocal equations. Zbl 1477.45007
Yeepo, Sasikarn; Lewkeeratiyutkul, Wicharn; Khomrutai, Sujin; Schikorra, Armin
2
2021
A class of the non-degenerate complex quotient equations on compact Kähler manifolds. Zbl 1480.32004
Zhou, Jundong
2
2021
Boundary-domain integral equations equivalent to an exterior mixed BVP for the variable-viscosity compressible Stokes PDEs. Zbl 1469.31013
Mikhailov, Sergey E.; Portillo, Carlos F.
2
2021
On the uniqueness of solutions of a semilinear equation in an annulus. Zbl 1471.35141
Cortázar, Carmen; García-Huidobro, Marta; Herreros, Pilar; Tanaka, Satoshi
2
2021
Concentration phenomena at saddle points of potential for Schrödinger-Poisson systems. Zbl 1466.35126
Cassani, Daniele; Vilasi, Luca; Zhang, Jianjun
2
2021
Homogenization of a modified bidomain model involving imperfect transmission. Zbl 1466.35015
Amar, Micol; Andreucci, Daniele; Timofte, Claudia
2
2021
Partial regularity for parabolic systems with VMO-coefficients. Zbl 1472.35080
Mons, Leon
2
2021
A note on the energy transfer in coupled differential systems. Zbl 1471.34109
Conti, Monica; Liverani, Lorenzo; Pata, Vittorino
2
2021
A non local approximation of the Gaussian perimeter: gamma convergence and isoperimetric properties. Zbl 1466.49038
De Rosa, Antonio; La Manna, Domenico Angelo
2
2021
Periodic solutions of \(p\)-Laplacian equations via rotation numbers. Zbl 1471.34081
Wang, Shuang; Qian, Dingbian
2
2021
Traveling waves for a two-group epidemic model with latent period and bilinear incidence in a patchy environment. Zbl 1489.34119
San, Xuefeng; He, Yuan
2
2021
Choquard equations via nonlinear Rayleigh quotient for concave-convex nonlinearities. Zbl 1480.35197
Carvalho, M. L. M.; Silva, Edcarlos D.; Goulart, C.
2
2021
Global weak solutions for a kinetic-fluid model with local alignment force in a bounded domain. Zbl 1479.35678
Li, Fucai; Li, Yue
2
2021
Parabolic problems in generalized Sobolev spaces. Zbl 1479.35516
Los, Valerii; Mikhailets, Vladimir; Murach, Aleksandr
2
2021
Normalized solutions of supercritical nonlinear fractional Schrödinger equation with potential. Zbl 1480.35131
Peng, Songbai; Xia, Aliang
2
2021
Invasion waves for a nonlocal dispersal predator-prey model with two predators and one prey. Zbl 1480.35089
Yang, Feiying; Li, Wantong; Wang, Renhu
1
2021
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Cited by 10,476 Authors

125 Papageorgiou, Nikolaos S.
69 Rădulescu, Vicenţiu D.
57 Miranville, Alain M.
46 Li, Wan-Tong
46 Llibre, Jaume
42 Tang, Chun-Lei
40 Tang, Xianhua
38 Figueiredo, Giovany Malcher
37 Alves, Claudianor Oliveira
36 Colli, Pierluigi
33 Caraballo Garrido, Tomás
33 Repovš, Dušan D.
32 Yang, Dachun
32 Zelik, Sergey V.
31 Rossi, Julio Daniel
30 Liu, Chein-Shan
30 Zhu, Changjiang
29 Miyagaki, Olimpio Hiroshi
29 Pata, Vittorino
28 Tret’yakov, Alexey A.
28 Winkert, Patrick
27 Gasiński, Leszek
27 Grasselli, Maurizio
27 Mu, Chunlai
25 Ambrosio, Vincenzo
25 Li, Yangrong
25 Quintanilla de Latorre, Ramón
25 Vetro, Calogero
24 Molica Bisci, Giovanni
24 Wu, Hao
23 Nicola, Fabio
23 Pucci, Patrizia
23 Zou, Wenming
22 Chen, Pengyu
22 Gilardi, Gianni
22 Messaoudi, Salim A.
22 Qin, Yuming
22 Sreenadh, Konijeti
22 Tachim Medjo, Theodore
22 Tang, Zhongwei
22 Vetro, Francesca
22 Zhou, Shengfan
21 Chen, Caisheng
21 Conti, Monica C.
21 Freitas, Mirelson M.
21 Kloeden, Peter Eris
21 Qi, Feng
21 Valdinoci, Enrico
21 Yang, Minbo
21 Yang, Zhijian
21 Zhang, Jian
20 Chen, Wenxiong
20 Cordero, Elena
20 Gala, Sadek
20 Li, Yongxiang
20 Liao, Jiafeng
20 López-Gómez, Julián
20 Tian, Shoufu
20 Wang, Weike
20 Wei, Juncheng
20 Yang, Sibei
20 Zhang, Binlin
20 Zhang, Xuping
20 Zhou, Zhan
19 Gal, Ciprian Gheorghe Sorin
19 Han, Maoan
19 Ishige, Kazuhiro
19 Shi, Junping
19 Sofonea, Mircea
19 Sommen, Franciscus
19 Tian, Lixin
19 Vougalter, Vitali
19 Yao, Zhengan
19 Zhao, Caidi
19 Zhao, Xiaopeng
18 Algharabli, Mohammad M.
18 Chen, Haibo
18 De Schepper, Hennie
18 Kawakami, Tatsuki
18 Li, Congming
18 Liu, Bingchen
18 Rocca, Elisabetta
18 Saanouni, Tarek
18 Yang, Feiying
18 Zhang, Jihui
18 Zhang, Wen
18 Zhang, Zujin
17 Dinh, Van Duong
17 Feng, Binhua
17 García-Melián, Jorge
17 Lei, Yutian
17 Li, Fengjie
17 Peral Alonso, Ireneo
17 Ramos, Anderson J. A.
17 Ruan, Shigui
17 Sasu, Bogdan
17 Sprekels, Jürgen
17 Strichartz, Robert S.
17 Sun, Chunyou
17 Sun, Jianwen
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Cited in 598 Journals

670 Journal of Mathematical Analysis and Applications
667 Journal of Differential Equations
512 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
385 Communications on Pure and Applied Analysis
275 Discrete and Continuous Dynamical Systems
251 Journal of Mathematical Physics
226 Discrete and Continuous Dynamical Systems. Series B
194 ZAMP. Zeitschrift für angewandte Mathematik und Physik
194 Nonlinear Analysis. Real World Applications
186 Calculus of Variations and Partial Differential Equations
182 Applicable Analysis
172 Boundary Value Problems
140 Applied Mathematics Letters
127 Applied Mathematics and Computation
109 Computers & Mathematics with Applications
106 NoDEA. Nonlinear Differential Equations and Applications
105 Journal of Functional Analysis
104 SIAM Journal on Mathematical Analysis
96 Mathematical Methods in the Applied Sciences
95 Journal of Evolution Equations
93 Discrete and Continuous Dynamical Systems. Series S
89 Complex Variables and Elliptic Equations
87 Archive for Rational Mechanics and Analysis
81 Advances in Difference Equations
79 Acta Applicandae Mathematicae
79 Mediterranean Journal of Mathematics
77 Journal de Mathématiques Pures et Appliquées. Neuvième Série
76 Proceedings of the American Mathematical Society
75 Applied Mathematics and Optimization
75 Advances in Nonlinear Analysis
74 Advanced Nonlinear Studies
72 Communications in Contemporary Mathematics
71 Annali di Matematica Pura ed Applicata. Serie Quarta
71 Abstract and Applied Analysis
69 Acta Mathematica Scientia. Series B. (English Edition)
68 Electronic Journal of Differential Equations (EJDE)
67 Journal of Dynamics and Differential Equations
64 Journal of Computational and Applied Mathematics
63 Journal of Mathematical Fluid Mechanics
61 Evolution Equations and Control Theory
60 Topological Methods in Nonlinear Analysis
58 The Journal of Geometric Analysis
57 Nonlinearity
57 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
55 Communications in Mathematical Physics
55 Communications in Partial Differential Equations
55 Science China. Mathematics
55 AIMS Mathematics
54 Transactions of the American Mathematical Society
54 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
54 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
51 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
51 Journal of Inequalities and Applications
50 Asymptotic Analysis
47 Advances in Mathematics
47 Communications in Nonlinear Science and Numerical Simulation
45 Physica D
45 Qualitative Theory of Dynamical Systems
44 Journal of Computational Physics
44 Electronic Research Archive
43 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
42 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
41 Comptes Rendus. Mathématique. Académie des Sciences, Paris
39 Mathematical Biosciences and Engineering
37 Chaos, Solitons and Fractals
37 Chinese Annals of Mathematics. Series B
37 Open Mathematics
35 Mathematische Nachrichten
35 Applied Numerical Mathematics
35 Journal of Nonlinear Science
35 Discrete Dynamics in Nature and Society
34 Journal of Fixed Point Theory and Applications
34 Journal of Elliptic and Parabolic Equations
33 Journal of Scientific Computing
33 Journal of Applied Analysis and Computation
31 Monatshefte für Mathematik
30 Journal of Difference Equations and Applications
29 Journal of Mathematical Sciences (New York)
29 Taiwanese Journal of Mathematics
28 Mathematische Annalen
28 Potential Analysis
28 Acta Mathematica Sinica. English Series
27 Quarterly of Applied Mathematics
27 Fractional Calculus & Applied Analysis
27 Journal of Function Spaces
26 Rocky Mountain Journal of Mathematics
26 SIAM Journal on Control and Optimization
26 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
25 Numerical Functional Analysis and Optimization
25 Numerische Mathematik
25 Journal of Pseudo-Differential Operators and Applications
25 SN Partial Differential Equations and Applications
24 Computer Methods in Applied Mechanics and Engineering
24 Kinetic and Related Models
24 International Journal of Biomathematics
23 Acta Mathematicae Applicatae Sinica. English Series
23 Advances in Computational Mathematics
23 The Journal of Fourier Analysis and Applications
23 Journal of Dynamical and Control Systems
23 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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552 Calculus of variations and optimal control; optimization (49-XX)
411 Systems theory; control (93-XX)
403 Integral equations (45-XX)
381 Global analysis, analysis on manifolds (58-XX)
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345 Functional analysis (46-XX)
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