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Advances in Differential Equations

Short Title: Adv. Differ. Equ.
Publisher: Khayyam Publishing Company, Athens, OH
ISSN: 1079-9389
Online: http://projecteuclid.org/all/euclid.ade
http://aftabi.com/ade-publication/
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 1,041 Publications (since 1996)
References Indexed: 97 Publications with 3,602 References.
all top 5

Latest Issues

29, No. 7-8 (2024)
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26, No. 3-4 (2021)
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25, No. 11-12 (2020)
25, No. 9-10 (2020)
25, No. 7-8 (2020)
25, No. 5-6 (2020)
25, No. 3-4 (2020)
25, No. 1-2 (2020)
24, No. 11-12 (2019)
24, No. 9-10 (2019)
24, No. 7-8 (2019)
24, No. 5-6 (2019)
24, No. 3-4 (2019)
24, No. 1-2 (2019)
23, No. 11-12 (2018)
23, No. 9-10 (2018)
23, No. 7-8 (2018)
23, No. 5-6 (2018)
23, No. 3-4 (2018)
23, No. 1-2 (2018)
22, No. 11-12 (2017)
22, No. 9-10 (2017)
22, No. 7-8 (2017)
22, No. 5-6 (2017)
22, No. 3-4 (2017)
22, No. 1-2 (2017)
21, No. 11-12 (2016)
21, No. 9-10 (2016)
21, No. 7-8 (2016)
21, No. 5-6 (2016)
21, No. 3-4 (2016)
21, No. 1-2 (2016)
20, No. 11-12 (2015)
20, No. 9-10 (2015)
20, No. 7-8 (2015)
20, No. 5-6 (2015)
20, No. 3-4 (2015)
20, No. 1-2 (2015)
19, No. 11-12 (2014)
19, No. 9-10 (2014)
19, No. 7-8 (2014)
19, No. 5-6 (2014)
19, No. 3-4 (2014)
19, No. 1-2 (2014)
18, No. 11-12 (2013)
18, No. 9-10 (2013)
18, No. 7-8 (2013)
18, No. 5-6 (2013)
18, No. 3-4 (2013)
18, No. 1-2 (2013)
17, No. 11-12 (2012)
17, No. 9-10 (2012)
17, No. 7-8 (2012)
17, No. 5-6 (2012)
17, No. 3-4 (2012)
17, No. 1-2 (2012)
16, No. 11-12 (2011)
16, No. 9-10 (2011)
16, No. 7-8 (2011)
16, No. 5-6 (2011)
16, No. 3-4 (2011)
16, No. 1-2 (2011)
15, No. 11-12 (2010)
15, No. 9-10 (2010)
15, No. 7-8 (2010)
15, No. 5-6 (2010)
15, No. 3-4 (2010)
15, No. 1-2 (2010)
14, No. 11-12 (2009)
14, No. 9-10 (2009)
14, No. 7-8 (2009)
14, No. 5-6 (2009)
14, No. 3-4 (2009)
14, No. 1-2 (2009)
13, No. 11-12 (2008)
13, No. 9-10 (2008)
13, No. 7-8 (2008)
13, No. 5-6 (2008)
13, No. 3-4 (2008)
13, No. 1-2 (2008)
...and 104 more Volumes
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Authors

10 Suzuki, Takashi
9 Bona, Jerry Lloyd
9 Galaktionov, Victor Aleksandrovich
9 García-Huidobro, Marta
8 Giga, Yoshikazu
7 Guidetti, Davide
7 Lorenzi, Alfredo
7 Manasevich, Raul F.
7 Vazquez, Juan Luis
6 Angulo Pava, Jaime
6 Dancer, Edward Norman
6 Muñoz Rivera, Jaime Edilberto
6 Senba, Takasi
6 Winkler, Michael
5 Bidaut-Veron, Marie-Françoise
5 Chipot, Michel
5 Demengel, Françoise
5 Felmer, Patricio L.
5 Fila, Marek
5 Gazzola, Filippo
5 López-Gómez, Julián
5 Nicaise, Serge
5 Perla Menzala, Gustavo Alberto
5 Prashanth, S.
5 Pucci, Patrizia
5 Rakotoson, Jean-Michel
5 Ziane, Mohammed
4 Antontsev, Stanislav Nikolaevich
4 Barbu, Viorel
4 Caldiroli, Paolo
4 Cho, Yonggeun
4 Coclite, Giuseppe Maria
4 Favini, Angelo
4 Garcke, Harald
4 Goldstein, Jerome Arthur
4 Grossi, Massimo
4 Guo, Zongming
4 Hebey, Emmanuel
4 Ishige, Kazuhiro
4 Kukavica, Igor
4 Lasiecka, Irena
4 Mawhin, Jean
4 Micheletti, Anna Maria
4 Naumkin, Pavel Ivanovich
4 Peral Alonso, Ireneo
4 Pistoia, Angela
4 Quittner, Pavol
4 Racke, Reinhard
4 Ruiz Goldstein, Giséle
4 Rybka, Piotr
4 Schonbek, Maria Elena
4 Stavrakakis, Nikolaos M.
4 Suárez, Antonio
4 Temam, Roger Meyer
4 Triggiani, Roberto
4 Volpert, Vitaly A.
4 Yarur, Cecilia S.
3 Adimurthi, A.
3 Amann, Herbert
3 Andreucci, Daniele
3 Biler, Piotr
3 Camilli, Fabio
3 Cao, Daomin
3 Chabrowski, Jan H.
3 Cingolani, Silvia
3 Colin, Mathieu
3 Conti, Monica C.
3 D’Aprile, Teresa
3 Delgado, Manuel
3 Du, Yihong
3 Duong, Xuan Thinh
3 Efendiev, Messoud
3 Fabrie, Pierre
3 Faminskii, Andrei V.
3 Fernández-Cara, Enrique
3 Ferrero, Alberto
3 Figueiredo, Giovany Malcher
3 Ge, Bin
3 Goubet, Olivier
3 Hayashi, Nakao
3 Hilhorst, Danielle
3 Hsu, Shu-Yu
3 Isobe, Takeshi
3 Kabeya, Yoshitsugu
3 Kartsatos, Athanassios G.
3 Linares, Felipe
3 Lorenzi, Luca
3 Lyaghfouri, Abdeslem
3 Matsuyama, Tokio
3 Motreanu, Dumitru
3 Novick-Cohen, Amy
3 Pecher, Hartmut
3 Pilod, Didier
3 Ragusa, Maria Alessandra
3 Reissig, Michael
3 Ruzhansky, Michael V.
3 Santos, Mauro Lima
3 Schnaubelt, Roland
3 Scialom, Marcia
3 Sinestrari, Eugenio
...and 1,336 more Authors
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Fields

945 Partial differential equations (35-XX)
139 Fluid mechanics (76-XX)
123 Operator theory (47-XX)
105 Ordinary differential equations (34-XX)
71 Global analysis, analysis on manifolds (58-XX)
65 Calculus of variations and optimal control; optimization (49-XX)
53 Dynamical systems and ergodic theory (37-XX)
53 Mechanics of deformable solids (74-XX)
37 Differential geometry (53-XX)
32 Functional analysis (46-XX)
30 Integral equations (45-XX)
29 Biology and other natural sciences (92-XX)
28 Systems theory; control (93-XX)
20 Statistical mechanics, structure of matter (82-XX)
16 Real functions (26-XX)
16 Optics, electromagnetic theory (78-XX)
14 Classical thermodynamics, heat transfer (80-XX)
13 Numerical analysis (65-XX)
13 Mechanics of particles and systems (70-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Probability theory and stochastic processes (60-XX)
11 Quantum theory (81-XX)
10 Potential theory (31-XX)
6 Geophysics (86-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Functions of a complex variable (30-XX)
3 Measure and integration (28-XX)
3 Information and communication theory, circuits (94-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Approximations and expansions (41-XX)
2 Abstract harmonic analysis (43-XX)
2 Relativity and gravitational theory (83-XX)
2 Operations research, mathematical programming (90-XX)
1 Algebraic geometry (14-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)

Publications by Year

Citations contained in zbMATH Open

898 Publications have been cited 12,370 times in 10,702 Documents Cited by Year
Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations. Zbl 1023.35513
Chen, Xinfu
315
1997
Generalized linking theorem with an application to a semilinear Schrödinger equation. Zbl 0947.35061
Kryszewski, Wojciech; Szulkin, Andrzej
239
1998
On positive entire solutions to a class of equations with a singular coefficient and critical exponent. Zbl 0847.35045
Terracini, Susanna
229
1996
The cost of approximate controllability for heat equations: The linear case. Zbl 1007.93034
Fernández-Cara, Enrique; Zuazua, Enrique
159
2000
Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation. Zbl 1007.35049
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Soriano, J. A.
157
2001
Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063
Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur
134
1996
Derivation and physical interpretation of general boundary conditions. Zbl 1107.35010
Goldstein, Gisèle Ruiz
120
2006
On interacting bumps of semi-classical states of nonlinear Schrödinger equations. Zbl 1217.35065
Kang, Xiaosong; Wei, Juncheng
106
2000
On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity. Zbl 1154.35073
Hmidi, Taoufik; Keraani, Sahbi
102
2007
On a singularly perturbed elliptic equation. Zbl 1023.35500
Li, YanYan
101
1997
Null controllability of degenerate heat equations. Zbl 1145.35408
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
97
2005
Classical solutions for Hele-Shaw models with surface tension. Zbl 1023.35527
Escher, Joachim; Simonett, Gieri
96
1997
Concentration estimates and multiple solutions to elliptic problems at critical growth. Zbl 1208.35048
Devillanova, Giuseppe; Solimini, Sergio
95
2002
Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain. Zbl 1101.35356
Takahashi, Takéo
87
2003
On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042
Magal, Pierre; Ruan, Shigui
82
2009
On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\). Zbl 1021.35085
Málek, J.; Nečas, J.; Růžička, M.
79
2001
Local and global well-posedness results for flows of inhomogeneous viscous fluids. Zbl 1103.35085
Danchin, R.
75
2004
Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities. Zbl 1387.35287
Hirano, Norimichi; Saccon, Claudio; Shioji, Naoki
73
2004
Existence of solution for a density-dependent magnetohydrodynamic equation. Zbl 1023.35524
Gerbeau, J.-F.; Le Bris, C.
72
1997
Strong pathwise solutions of the stochastic Navier-Stokes system. Zbl 1195.60090
Glatt-Holtz, Nathan; Ziane, Mohammed
72
2009
Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type. Zbl 1122.35043
Antontsev, Stanislav; Zhikov, Vasilii
71
2005
Boundary blow up for semilinear elliptic equations with nonlinear gradient terms. Zbl 0840.35034
Bandle, Catherine; Giarrusso, Ester
70
1996
Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036
Bernis, F.; Garcia-Azorero, J.; Peral, I.
67
1996
Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity. Zbl 0951.35125
Takaoka, Hideo
64
1999
\(W^{1,p}\)-interior estimates for solutions of fully nonlinear, uniformly elliptic equations. Zbl 1023.35509
Świech, Andrzej
63
1997
Morse theory and a scalar field equation on compact surfaces. Zbl 1175.53052
Malchiodi, Andrea
63
2008
Navier-Stokes equations in three-dimensional thin domains with various boundary conditions. Zbl 0864.35083
Temam, R.; Ziane, M.
63
1996
Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form. Zbl 1153.35312
Di Francesco, Marco; Polidoro, Sergio
63
2006
A new optimal transport distance on the space of finite Radon measures. Zbl 1375.49062
Kondratyev, Stanislav; Monsaingeon, Léonard; Vorotnikov, Dmitry
63
2016
Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions. Zbl 1103.35084
Beirão da Veiga, H.
62
2004
Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Zbl 1103.35051
Agueh, Martial
62
2005
On the existence of solutions of Hamiltonian elliptic systems in \(\mathbb{R}^N\). Zbl 1213.35223
Sirakov, Boyan
62
2000
An existence and stability result for standing waves of nonlinear Schrödinger equations. Zbl 1155.35095
Jeanjean, Louis; Le Coz, Stefan
62
2006
Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss. Zbl 1001.34046
Coulhon, Thierry; Duong, Xuan Thinh
60
2000
The Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1035.35050
Racke, Reinhard; Zheng, Songmu
60
2003
The Cauchy problem for a generalized Camassa-Holm equation. Zbl 1285.35093
Himonas, A. Alexandrou; Holliman, Curtis
59
2014
Stability of cnoidal waves. Zbl 1147.35079
Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia
59
2006
Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0999.92005
Senba, Takasi; Suzuki, Takashi
58
2001
A new dynamical approach of Emden-Fowler equations and systems. Zbl 1230.34021
Bidaut-Veron, Marie Françoise; Giacomini, Hector
56
2010
Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations. Zbl 1023.35508
Gazzola, Filippo; Ruf, Bernhard
55
1997
The Dirichlet problem for a class of ultraparabolic equations. Zbl 1023.35518
Manfredini, Maria
55
1997
Finite speed of propagation and continuity of the interface for thin viscous flows. Zbl 0846.35058
Bernis, Francisco
55
1996
Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions. Zbl 1101.35050
Alazard, Thomas
52
2005
Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. Zbl 1044.58033
Blue, P.; Soffer, A.
52
2003
First eigenvalue and maximum principle for fully nonlinear singular operators. Zbl 1132.35427
Birindelli, Isabeau; Demengel, Françoise
48
2006
A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems. Zbl 1437.35188
Ikoma, Norihisa; Tanaka, Kazunaga
48
2019
The thin viscous flow equation in higher space dimensions. Zbl 0954.35035
Bertsch, Michiel; Dal Passo, Roberta; Garcke, Harald; Grün, Günther
47
1998
On a semilinear elliptic problem in \(\mathbb{R}^ N\) with a non-Lipschitzian nonlinearity. Zbl 0845.35031
Cortázar, Carmen; Elgueta, Manuel; Felmer, Patricio
47
1996
Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability. Zbl 1157.35407
Bates, Peter W.; Dancer, E. Norman; Shi, Junping
46
1999
Boundary layer for a penalization method for viscous incompressible flow. Zbl 1097.76013
Carbou, Gilles; Fabrie, Pierre
45
2003
Universal bounds at the blow-up time for nonlinear parabolic equations. Zbl 1122.35042
Andreucci, Daniele; Tedeev, Anatoli F.
44
2005
On mild and weak solutions of elliptic-parabolic problems. Zbl 0858.35064
Benilan, Philippe; Wittbold, Petra
44
1996
On the solutions to some elliptic equations with nonlinear Neumann boundary conditions. Zbl 0839.35042
Chipot, M.; Shafrir, I.; Fila, M.
44
1996
On the Cauchy problem for Landau equations: Sequential stability, global existence. Zbl 0856.35020
Villani, Cédric
43
1996
Multiple solutions for the Brezis-Nirenberg problem. Zbl 1284.35151
Clapp, Mónica; Weth, Tobias
42
2005
An initial-boundary value problem for the Korteweg-de Vries equation posed on a finite interval. Zbl 1022.35055
Colin, Thierry; Ghidaglia, Jean-Michel
41
2001
The periodic predator-prey Lotka-Volterra model. Zbl 0849.34026
López-Gómez, Julián; Ortega, Rafael; Tineo, Antonio
41
1996
Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities. Zbl 1442.35500
Bhakta, Mousomi; Mukherjee, Debangana
41
2019
Semilinear elliptic equations with sublinear indefinite nonlinearities. Zbl 0952.35052
Alama, Stanley
39
1999
Type-II blowup for a semilinear heat equation. Zbl 1122.35050
Mizoguchi, Noriko
39
2004
Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064
Gazzola, Filippo; Serrin, James; Tang, Moxun
39
2000
\(L^p\)-regularity for elliptic operators with unbounded coefficients. Zbl 1156.35385
Metafune, G.; Prüss, J.; Schnaubelt, R.; Rhandi, A.
38
2005
Symmetry and asymmetry: the method of moving spheres. Zbl 1201.35099
Jin, Qinian; Li, YanYan; Xu, Haoyuan
38
2008
Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient. Zbl 1307.35151
Chipot, Michel; Savitska, Tetiana
38
2014
Higher-order Melnikov functions for degenerate cubic Hamiltonians. Zbl 0851.34042
Iliev, I. D.
38
1996
Global existence for an \(L^2\) critical nonlinear Dirac equation in one dimension. Zbl 1229.35225
Candy, Timothy
37
2011
On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth. Zbl 0955.35031
Demengel, Françoise; Hebey, Emmanuel
36
1998
Global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1122.35040
Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I.
36
2004
Uniform Gaussian estimates of the fundamental solutions for heat operators on Carnot groups. Zbl 1036.35061
Bonfiglioli, A.; Lanconelli, E.; Uguzzoni, F.
36
2002
Gradient estimates for anisotropic elliptic equations. Zbl 1144.35388
Lieberman, Gary M.
35
2005
Poincaré’s inequality and diffusive evolution equations. Zbl 1169.35047
Bjorland, Clayton; Schonbek, Maria E.
35
2009
Energy decay in a Timoshenko-type system with history in thermoelasticity of type III. Zbl 1168.35320
Messaoudi, Salim A.; Said-Houari, Belkacem
35
2009
Positive steady states for prey-predator models with cross-diffusion. Zbl 0863.35034
Nakashima, Kimie; Yamada, Yoshio
35
1996
On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103
Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M.
35
1996
Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem. Zbl 0993.34058
Dore, Giovanni
35
2000
Simplicity of the principal eigenvalue for indefinite quasilinear problems. Zbl 1158.35069
Kawohl, Bernd; Lucia, Marcello; Prashanth, S.
35
2007
Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions. Zbl 1183.35035
Gerbi, Stéphane; Said-Houari, Belkacem
34
2008
On coupled systems of Schrödinger equations. Zbl 1232.35063
Chen, Z.; Zou, W.
34
2011
Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
34
2014
\(\Gamma\)-convergence of graph Ginzburg-Landau functionals. Zbl 1388.35200
van Gennip, Yves; Bertozzi, Andrea L.
34
2012
Small data in an optimal Banach space for the parabolic-parabolic and parabolic-elliptic Keller-Segel equations in the whole space. Zbl 1284.35226
Lemarié-Rieusset, Pierre Gilles
33
2013
Boundary-value problems with non-surjective \(\varphi\)-Laplacian and one-sided bounded nonlinearity. Zbl 1111.34016
Bereanu, C.; Mawhin, J.
32
2006
Comparisons between the BBM equation and a Boussinesq system. Zbl 1104.35039
Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J.
32
2006
On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation. Zbl 1023.35525
Moise, I.; Rosa, R.
32
1997
Global existence and finite-time blow-up for a class of nonlocal parabolic problems. Zbl 1023.35512
Bebernes, J. W.; Lacey, A. A.
32
1997
Local behaviour of the solutions of a class of nonlinear elliptic systems. Zbl 1005.35037
Bidaut-Veron, Marie-Francoise
31
2000
A singular limit for a system of degenerate Cahn-Hilliard equations. Zbl 0988.35019
Garcke, Harald; Novick-Cohen, Amy
31
2000
Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle. Zbl 0956.47008
Hieber, Matthias; Prüss, Jan
30
1998
Symmetry in exterior boundary value problems for quasilinear elliptic equations via blow-up and a priori estimates. Zbl 0951.35045
Garofalo, Nicola; Sartori, Elena
30
1999
On the strong maximum principle for second order nonlinear parabolic integro-differential equations. Zbl 1264.35262
Ciomaga, Adina
30
2012
A convolution model for interfacial motion: The generation and propagation of internal layers in higher space dimensions. Zbl 0954.35087
Fife, Paul C.; Wang, Xuefeng
29
1998
The topological impact of critical points at infinity in a variational problem with lack of compactness: The dimension 3. Zbl 0952.35051
Rey, Olivier
29
1999
Approximate radial symmetry for overdetermined boundary value problems. Zbl 0951.35046
Aftalion, Amandine; Busca, Jérôme; Reichel, Wolfgang
29
1999
The initial-value problem for the Navier-Stokes equations with a free surface in \(L^q\)-Sobolev spaces. Zbl 1105.35072
Abels, Helmut
29
2005
Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations. Zbl 1161.35388
Du, Yihong; Li, Shujie
29
2005
Monotonicity and symmetry results for \(p\)-Laplace equations and applications. Zbl 1002.35045
Damascelli, Lucio; Pacella, Filomena
29
2000
Application of the best constant of the Sobolev inequality to degenerate Keller-Segel models. Zbl 1171.35068
Sugiyama, Yoshie
29
2007
On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems. Zbl 1357.35283
Fiscella, Alessio; Pucci, Patrizia
29
2016
Finite Morse index solutions and asymptotics of weighted nonlinear elliptic equations. Zbl 1275.35102
Du, Yihong; Guo, Zongming
29
2013
Regularity of the attractor for a weakly damped nonlinear Schrödinger equation in \(\mathbb{R}^2\). Zbl 0947.35154
Goubet, Olivier
28
1998
\(\mathbb{H}^1\)-random attractors for 2D stochastic convective Brinkman-Forchheimer equations in unbounded domains. Zbl 1519.35034
Kinra, Kush; Mohan, Manil T.
3
2023
The higher order nonlinear Schrödinger equation with quadratic nonlinearity on the real axis. Zbl 07700335
Faminskii, Andrei V.
2
2023
Dynamics of a class of extensible beams with degenerate and non-degenerate nonlocal damping. Zbl 1518.35135
Tavares, E. H. Gomes; Silva, M. A. Jorge; Narciso, V.; Vicente, A.
2
2023
Asymptotics for logistic-type equations with Dirichlet fractional Laplace operator. Zbl 1501.35065
Klimsiak, Tomasz
1
2023
Multiple positive bound state solutions for fractional Schrödinger-Poisson system with critical growth. Zbl 1501.35169
Guan, Wen; Wang, Da-Bin
1
2023
A property of absolute minimizers in \(L^\infty\) calculus of variations and of solutions of the Aronsson-Euler equation. Zbl 1500.49010
Brizzi, Camilla; De Pascale, Luigi
1
2023
The linearized 3D Euler equations with inflow, outflow. Zbl 1524.76123
Gie, Gung-Min; Kelliher, James P.; Mazzucato, Anna L.
1
2023
Domain variations of the first eigenvalue via a strict Faber-Krahn type inequality. Zbl 1518.35393
Anoop, T. V.; Kumar, K. Ashok
1
2023
Impulsive evolution processes: abstract results and an application to a coupled wave equations. Zbl 1518.35130
Bonotto, Everaldo M.; Nascimento, Marcelo J. D.; Santiago, Eric B.
1
2023
Liouville results for fully nonlinear equations modeled on Hörmander vector fields. II: Carnot groups and Grushin geometries. Zbl 1518.35168
Bardi, Martino; Goffi, Alessandro
1
2023
Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Zbl 1520.35157
Winkler, Michael
1
2023
Double phase obstacle problems with variable exponent. Zbl 1497.35146
Zeng, Shengda; Rădulescu, Vicențiu D.; Winkert, Patrick
11
2022
Quasilinear double phase problems in the whole space via perturbation methods. Zbl 1486.35205
Ge, Bin; Pucci, Patrizia
6
2022
On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary. Zbl 1493.53090
Ginoux, Nicolas; Murro, Simone
5
2022
On a class of nonlocal Schrödinger equations with exponential growth. Zbl 1494.35017
Bisci, Giovanni Molica; Van Thin, Nguyen; Vilasi, Luca
4
2022
Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case. Zbl 1512.35535
Hebey, Emmanuel
3
2022
Nonlinear Liouville-type theorems for generalized Baouendi-Grushin operator on Riemannian manifolds. Zbl 1498.35128
Jleli, Mohamed; Ragusa, Maria Alessandra; Samet, Bessem
3
2022
Existence of weak solutions to the two-dimensional incompressible Euler equations in the presence of sources and sinks. Zbl 1496.35288
Bravin, Marco; Sueur, Franck
2
2022
Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces. Zbl 1496.35160
de Borbón, María Laura; Del Pezzo, Leandro M.; Ochoa, Pablo
2
2022
Non-local Tug-of-War with noise for the geometric fractional \(p\)-Laplacian. Zbl 1484.35386
Lewicka, Marta
2
2022
Critical problems with Hardy potential on stratified Lie groups. Zbl 1498.35558
Loiudice, Annunziata
2
2022
Qualitative properties of singular solutions of Choquard equations. Zbl 1500.35152
Chen, Huyuan; Zhou, Feng
2
2022
Entire solutions of combustion reaction-diffusion equations in exterior domains. Zbl 1487.35027
Jia, Fu-Jie; Wang, Zhi-Cheng; Zhang, Suo-Bing
1
2022
On the non-existence of compact surfaces of genus one with prescribed, almost constant mean curvature, close to the singular limit. Zbl 1497.53019
Caldiroli, Paolo; Iacopetti, Alessandro; Musso, Monica
1
2022
On the fractional elliptic problems with difference in the Orlicz-Sobolev spaces. Zbl 1485.35393
Jung, Tacksun; Choi, Q-Heung
1
2022
Structural descriptions of limits of the parabolic Ginzburg-Landau equation on closed manifolds. Zbl 1496.35375
Colinet, Andrew
1
2022
Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth. Zbl 1480.35056
Jiang, Huite; Zhao, Caidi
15
2021
The dynamics of a Lotka-Volterra competition model with nonlocal diffusion and free boundaries. Zbl 1480.35410
Cao, Jia-Feng; Li, Wan-Tong; Wang, Jie; Zhao, Meng
9
2021
Strong attractors and their continuity for the semilinear wave equations with fractional damping. Zbl 1480.35043
Li, Yanan; Yang, Zhijian
8
2021
On an anisotropic \(p\)-Laplace equation with variable singular exponent. Zbl 1485.35244
Bal, Kaushik; Garain, Prashanta; Mukherjee, Tuhina
5
2021
Global weak solutions to the Navier-Stokes-Darcy-Boussinesq system for thermal convection in coupled free and porous media flows. Zbl 1500.35246
Wang, Xiaoming; Wu, Hao
3
2021
On a class of \(p(x)\)-Laplacian equations without any growth and Ambrosetti-Rabinowitz conditions. Zbl 1480.35268
Cao, Xiao-Feng; Ge, Bin; Zhang, Bei-Lei
3
2021
Combined effects of logarithmic and critical nonlinearities in fractional Laplacian problems. Zbl 1480.35400
Xiang, Mingqi; Zhang, Binlin
3
2021
Multiplicity and concentration results for local and fractional NLS equations with critical growth. Zbl 1487.35034
Gallo, Marco
3
2021
Existence of two positive solutions for anisotropic nonlinear elliptic equations. Zbl 1480.35267
Bonanno, G.; D’Aguì, G.; Sciammetta, A.
2
2021
Global regularity and stability of solutions to the 3D double-diffusive convection system with Navier boundary conditions. Zbl 1479.35694
Ragusa, Maria Alessandra; Wu, Fan
2
2021
Direct and inverse Cauchy problems for generalized space-time fractional differential equations. Zbl 1485.35404
Restrepo, Joel E.; Suragan, Durvudkhan
2
2021
The Paneitz curvature problem on \(S^n\). Zbl 1485.35168
Alghanemi, Azeb; Bensouf, Aymen; Chtioui, Hichem
2
2021
An apparently unnatural estimate about forward-backward parabolic equations. Zbl 1480.35073
Paronetto, Fabio
1
2021
Positive solutions for a class of \(p(x)\)-Laplacian equation involving concave-convex nonlinearities. Zbl 1480.35269
Chu, Chang-Mu
1
2021
Blow-up rate of sign-changing solutions to nonlinear parabolic systems. Zbl 1484.35090
Zhanpeisov, Erbol
1
2021
Non-divergence operators structured on homogeneous Hörmander vector fields: heat kernels and global Gaussian bounds. Zbl 1484.35269
Biagi, Stefano; Bramanti, Marco
1
2021
On a global supersonic-sonic patch characterized by 2-d steady full Euler equations. Zbl 1448.35334
Hu, Yanbo; Li, Jiequan
12
2020
Solutions to upper critical fractional Choquard equations with potential. Zbl 1437.35306
Li, Xinfu; Ma, Shiwang; Zhang, Guang
5
2020
Bifurcation of positive radial solutions for a prescribed mean curvature problem on an exterior domain. Zbl 1442.34044
Yang, Rui; Lee, Yong-Hoon
5
2020
Navier-Stokes equations in a curved thin domain. III: Thin-film limit. Zbl 1468.35112
Miura, Tatsu-Hiko
4
2020
Multi-bump solutions for fractional Schrödinger equation with electromagnetic fields and critical nonlinearity. Zbl 1448.35127
Liang, Sihua; Chung, Nguyen Thanh; Zhang, Binlin
4
2020
Large time asymptotics for the fractional nonlinear Schrödinger equation. Zbl 1439.35061
Hayashi, Nakao; Naumkin, Pavel I.
4
2020
Spectral identities and smoothing estimates for evolution operators. Zbl 1465.35074
Ben-Artzi, Matania; Ruzhansky, Michael; Sugimoto, Mitsuru
2
2020
Primitive equations with half horizontal viscosity. Zbl 1470.35290
Saal, Martin
2
2020
On the planar Schrödinger-Poisson system with zero mass and critical exponential growth. Zbl 1466.35129
Chen, Sitong; Tang, Xianhua
2
2020
On the well-posedness and decay characterization of solutions for incompressible electron inertial Hall-MHD equations. Zbl 1447.35281
Zhao, Xiaopeng
2
2020
Infinitely many solutions for a class of superlinear problems involving variable exponents. Zbl 1437.35406
Ge, Bin; Wang, Li-Yan
2
2020
Stability of polytropic filtration equation with variable exponents. Zbl 1447.35308
Feng, Zhaosheng; Zhan, Huashui
1
2020
Bifurcations and exact traveling wave solutions of Gerdjikov-Ivanov equation with perturbation terms. Zbl 1458.34071
Bai, Yuzhen; Xia, Yonghui; Zhu, Wenjing
1
2020
Symmetric Lyapunov center theorem for orbit with nontrivial isotropy group. Zbl 1443.34043
Kowalczyk, Marta; Pérez-Chavela, Ernesto; Rybicki, Sławomir
1
2020
On ground state of fractional spinor Bose Einstein condensates. Zbl 1437.35172
Cao, Daomin; He, Jinchun; Xu, Haoyuan; Yang, Meihua
1
2020
A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems. Zbl 1437.35188
Ikoma, Norihisa; Tanaka, Kazunaga
48
2019
Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities. Zbl 1442.35500
Bhakta, Mousomi; Mukherjee, Debangana
41
2019
A time-fractional mean field game. Zbl 1442.35502
Camilli, Fabio; De Maio, Raul
12
2019
On invariant measures associated with weakly coupled systems of Kolmogorov equations. Zbl 1442.35186
Addona, Davide; Angiuli, Luciana; Lorenzi, Luca
9
2019
Well-posedness and large time behavior of solutions for the electron inertial Hall-MHD system. Zbl 1437.35573
Fukumoto, Yasuhide; Zhao, Xiaopeng
8
2019
Global existence and blowup for a quasilinear parabolic equations with nonlinear gradient absorption. Zbl 1442.35239
Liu, Yingying; Zhang, Zhengce; Zhu, Liping
8
2019
Note on the stability of planar stationary flows in an exterior domain without symmetry. Zbl 1437.35537
Higaki, Mitsuo
5
2019
Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows. Zbl 1442.53004
Nagasawa, Takeyuki; Nakamura, Kohei
4
2019
No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem. Zbl 1444.35104
Esteve, Carlos; Souplet, Philippe
3
2019
Local well-posedness for third order Benjamin-Ono type equations on the torus. Zbl 1437.35611
Tanaka, Tomoyuki
3
2019
Some \(L^\infty\) solutions of the hyperbolic nonlinear Schrödinger equation and their stability. Zbl 1437.35620
Correia, Simão; Figueira, Mário
2
2019
Non-uniform dependence on initial data for equations of Whitham type. Zbl 1437.35605
Arnesen, Mathias Nikolai
2
2019
Global \(L^r\)-estimates and regularizing effect for solutions to the \(p(t,x)\)-Laplacian systems. Zbl 1442.35225
Crispo, F.; Maremonti, P.; Růžička, M.
2
2019
Hénon type equations with jumping nonlinearities involving critical growth. Zbl 1437.35230
Barboza, Eudes Mendes; Ribeiro, Bruno; Do Ó, João Marcos
2
2019
Multiscale Gevrey asymptotics in boundary layer expansions for some initial value problem with merging turning points. Zbl 1445.35112
Lastra, Alberto; Malek, Stéphane
1
2019
Low regularity local well-posedness for the higher-dimensional Yang-Mills equation in Lorenz gauge. Zbl 1437.35598
Pecher, Hartmut
1
2019
\(L^2\) representations of the second variation and Łojasiewicz-Simon gradient estimates for a decomposition of the Möbius energy. Zbl 1442.53003
Gunji, Katsunori
1
2019
Dispersive mixed-order systems in \(L^p\)-Sobolev spaces and application to the thermoelastic plate equation. Zbl 1437.35168
Denk, Robert; Hummel, Felix
1
2019
Extension theory approach in the stability of the standing waves for the NLS equation with point interactions on a star graph. Zbl 1402.35261
Pava, Jaime Angulo; Goloshchapova, Nataliia
26
2018
Sign-changing solutions for non-local elliptic equations involving the fractional Laplacain. Zbl 1386.35087
Deng, Yinbin; Shuai, Wei
18
2018
Mountain pass solutions for the fractional Berestycki-Lions problem. Zbl 1388.35206
Ambrosio, Vincenzo
16
2018
Regularity and time behavior of the solutions of linear and quasilinear parabolic equations. Zbl 1390.35115
Porzio, Maria Michaela
11
2018
Local well-posedness and global existence for the biharmonic heat equation with exponential nonlinearity. Zbl 1391.35249
Majdoub, Mohamed; Otsmane, Sarah; Tayachi, Slim
10
2018
Global regularity of the 2D magnetic Bénard system with partial dissipation. Zbl 1420.35267
Ye, Zhuan
8
2018
Elliptic and parabolic equations with Dirichlet conditions at infinity on Riemannian manifolds. Zbl 1386.35072
Mastrolia, P.; Monticelli, D. D.; Punzo, F.
7
2018
Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity. Zbl 1391.35262
Sobajima, Motohiro; Wakasugi, Yuta
6
2018
Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity. Zbl 1386.35266
Sasaki, Takiko
5
2018
Traveling waves in a simplified gas-solid combustion model in porous media. Zbl 1386.35351
Ozbag, Fatih; Schecter, Stephen; Chapiro, Grigori
5
2018
Global existence for the heat flow of symphonic maps into spheres. Zbl 1406.58011
Misawa, Masashi; Nakauchi, Nobumitsu
5
2018
Existence results for non-local elliptic systems with nonlinearities interacting with the spectrum. Zbl 1391.35397
Miyagaki, Olímpio H.; Pereira, Fábio
5
2018
On the focusing energy-critical fractional nonlinear Schrödinger equations. Zbl 1383.35206
Cho, Yonggeun; Hwang, Gyeongha; Ozawa, Tohru
5
2018
A classification for wave models with time-dependent potential and speed of propagation. Zbl 1402.35163
Ebert, Marcelo Rempel; do Nascimento, Wanderley Nunes
4
2018
On the modified scattering of 3-D Hartree type fractional Schrödinger equations with Coulomb potential. Zbl 1404.35408
Cho, Yonggeun; Hwang, Gyeongha; Yang, Changhun
3
2018
Long-time behavior of solutions to the fifth-order modified KdV-type equation. Zbl 1404.35394
Okamoto, Mamoru
3
2018
Transport and equilibrium in non-conservative systems. Zbl 1433.35402
Chayes, L.; Lei, H. K.
3
2018
Asymptotics for the modified Boussinesq equation in one space dimension. Zbl 1387.35491
Hayashi, Nakao; Naumkin, Pavel I.
3
2018
Weak solvability for Dirichlet partial differential inclusions in Orlicz-Sobolev spaces. Zbl 1394.35180
Costea, Nicuşor; Moroşanu, Gheorghe; Varga, Csaba
2
2018
Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in \(\mathbb{R}^N\). Zbl 1392.35291
Perera, Kanishka; Tintarev, Cyril; Wang, Jun; Zhang, Zhitao
2
2018
Nonlinear travelling waves on complete Riemannian manifolds. Zbl 1384.35028
Mukherjee, Mayukh
2
2018
The Friedrichs extension for elliptic wedge operators of second order. Zbl 1380.58021
Krainer, Thomas; Mendoza, Gerardo A.
2
2018
Almost global existence of weak solutions for the nonlinear elastodynamics system for a class of strain energies. Zbl 1386.74024
Court, Sébastien; Kunisch, Karl
1
2018
Local Hardy and Rellich inequalities for sums of squares of vector fields. Zbl 1373.35016
Ruzhansky, Michael; Suragan, Durvudkhan
23
2017
Removable singularities for degenerate elliptic Pucci operators. Zbl 1366.35048
Galise, Giulio; Vitolo, Antonio
20
2017
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Cited by 8,678 Authors

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36 Figueiredo, Giovany Malcher
35 Pistoia, Angela
35 Pucci, Patrizia
34 Peng, Shuangjie
34 Rossi, Julio Daniel
33 Miyagaki, Olimpio Hiroshi
32 Volpert, Vitaly A.
30 Ding, Yanheng
30 Wang, Zhi-Qiang
30 Wu, Jiahong
29 Lasiecka, Irena
28 Ambrosio, Vincenzo
28 Ishige, Kazuhiro
28 Zuazua, Enrique
27 Vougalter, Vitali
26 Giacomoni, Jacques
26 Guo, Yuxia
26 Yan, Shusen
25 Do Ó, João M. Bezerra
25 Guo, Zongming
25 Kukavica, Igor
25 Maniar, Lahcen
25 Tang, Chun-Lei
24 Ferreira, Lucas Catão de Freitas
24 Galaktionov, Victor Aleksandrovich
24 Gazzola, Filippo
24 Rădulescu, Vicenţiu D.
24 Ruzhansky, Michael V.
24 Suragan, Durvudkhan
24 Zhang, Jian
23 Caraballo Garrido, Tomás
23 Colli, Pierluigi
23 Díaz Díaz, Jesús Ildefonso
23 Souplet, Philippe
23 Sreenadh, Konijeti
23 Takahashi, Takéo
22 Giga, Yoshikazu
22 Magal, Pierre
21 Chen, Xinfu
21 Marcellini, Paolo
21 Miranville, Alain M.
21 Polidoro, Sergio
21 Winkert, Patrick
20 Beirão da Veiga, Hugo
20 Cingolani, Silvia
20 Coclite, Giuseppe Maria
20 Esfahani, Amin
20 Garcke, Harald
20 Liu, Zhihua
20 Lorenzi, Luca
20 Sciunzi, Berardino
20 Wang, Jun
19 Fernández-Cara, Enrique
19 García-Huidobro, Marta
19 Gilardi, Gianni
19 Iagar, Razvan Gabriel
19 Lar’kin, Nikolaj Andreevich
19 Li, Yongsheng
19 Malchiodi, Andrea
19 Ogawa, Takayoshi
19 Peral Alonso, Ireneo
19 Vitolo, Antonio
19 Wang, Mingxin
19 Warma, Mahamadi
19 Zhang, Fubao
18 Angulo Pava, Jaime
18 Antontsev, Stanislav Nikolaevich
18 Biagi, Stefano
18 Goldstein, Jerome Arthur
18 Laurençot, Philippe
18 Liu, Xiangqing
18 Rakotoson, Jean-Michel
18 Sánchez, Ariel
18 Saut, Jean-Claude
18 Suzuki, Takashi
18 Tedeev, Anatoliĭ Fedorovich
18 Valdinoci, Enrico
18 Zhang, Wen
18 Zhang, Zhitao
18 Zhao, Xiaopeng
17 Bartsch, Thomas J.
17 Ben Ayed, Mohamed
17 Boscaggin, Alberto
17 Cui, Shangbin
17 D’Aprile, Teresa
17 Del Pino, Manuel A.
17 Gancedo, Francisco
17 Guo, Boling
17 López-Gómez, Julián
17 Messaoudi, Salim A.
17 Pomponio, Alessio
17 Porzio, Maria Michaela
17 Prüß, Jan Wilhelm
17 Quaas, Alexander
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Cited in 564 Journals

970 Journal of Differential Equations
713 Journal of Mathematical Analysis and Applications
679 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
271 Calculus of Variations and Partial Differential Equations
222 Discrete and Continuous Dynamical Systems
212 Journal of Functional Analysis
183 Communications on Pure and Applied Analysis
182 Archive for Rational Mechanics and Analysis
164 Nonlinear Analysis. Real World Applications
153 ZAMP. Zeitschrift für angewandte Mathematik und Physik
148 NoDEA. Nonlinear Differential Equations and Applications
143 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
139 Journal de Mathématiques Pures et Appliquées. Neuvième Série
136 Journal of Evolution Equations
125 Mathematical Methods in the Applied Sciences
118 SIAM Journal on Mathematical Analysis
113 Annali di Matematica Pura ed Applicata. Serie Quarta
111 Journal of Mathematical Physics
102 Discrete and Continuous Dynamical Systems. Series B
98 Proceedings of the American Mathematical Society
98 Boundary Value Problems
94 Transactions of the American Mathematical Society
92 Applicable Analysis
92 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
91 Nonlinearity
89 Applied Mathematics Letters
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84 Discrete and Continuous Dynamical Systems. Series S
83 Applied Mathematics and Computation
77 Physica D
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76 Advanced Nonlinear Studies
71 Comptes Rendus. Mathématique. Académie des Sciences, Paris
69 Advances in Nonlinear Analysis
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62 The Journal of Geometric Analysis
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61 Applied Mathematics and Optimization
57 Acta Applicandae Mathematicae
54 Mathematische Nachrichten
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52 Evolution Equations and Control Theory
51 Abstract and Applied Analysis
51 Mediterranean Journal of Mathematics
50 Advances in Mathematics
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46 Journal of Computational Physics
44 Journal of Computational and Applied Mathematics
44 Electronic Journal of Differential Equations (EJDE)
44 Acta Mathematica Sinica. English Series
43 Journal of Nonlinear Science
42 SIAM Journal on Control and Optimization
41 Journal of Fixed Point Theory and Applications
40 Manuscripta Mathematica
40 Zeitschrift für Analysis und ihre Anwendungen
40 Potential Analysis
39 Topological Methods in Nonlinear Analysis
38 Science China. Mathematics
36 Mathematische Zeitschrift
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35 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
35 Mathematical Control and Related Fields
34 Revista Matemática Iberoamericana
33 Quarterly of Applied Mathematics
32 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
31 Communications in Partial Differential Equations
31 Communications in Nonlinear Science and Numerical Simulation
29 Acta Mathematica Scientia. Series B. (English Edition)
28 Results in Mathematics
28 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
27 Monatshefte für Mathematik
26 Chinese Annals of Mathematics. Series B
26 Bulletin des Sciences Mathématiques
26 SN Partial Differential Equations and Applications
25 Archiv der Mathematik
25 Journal of Scientific Computing
24 Advances in Difference Equations
24 Nonlinear Analysis. Theory, Methods & Applications
23 Journal of Optimization Theory and Applications
23 Rendiconti del Circolo Matemàtico di Palermo. Serie II
23 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
23 Annales Henri Poincaré
22 Rocky Mountain Journal of Mathematics
22 Memoirs of the American Mathematical Society
22 Studies in Applied Mathematics
22 Applied Numerical Mathematics
22 Journal of Dynamical and Control Systems
22 Journal of Function Spaces
21 Israel Journal of Mathematics
21 Ricerche di Matematica
21 Advances in Differential Equations
21 Qualitative Theory of Dynamical Systems
21 Advances in Calculus of Variations
21 Analysis and Mathematical Physics
21 Mathematics in Engineering
20 Indiana University Mathematics Journal
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