## Proceedings of the Royal Society of Edinburgh. Section A. Mathematics

 Short Title: Proc. R. Soc. Edinb., Sect. A, Math. Publisher: Cambridge University Press, Cambridge; RSE Scotland Foundation, Edinburgh ISSN: 0308-2105; 1473-7124/e Online: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/all-issueshttp://www.ingentaconnect.com/content/rse/proca Predecessor: Proceedings of the Royal Society of Edinburgh Comments: Indexed cover-to-cover; Section designation Vol. 61 (1941) - Vol. 71 (1974): Mathematical and Physical Sciences
 Documents Indexed: 3,703 Publications (since 1941) References Indexed: 2,214 Publications with 33,285 References.
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### Authors

 26 Zettl, Anton 24 Binding, Paul Anthony 21 Everitt, William Norrie 18 Browne, Patrick J. 16 Eastham, Michael S. P. 16 McLeod, John Bryce 15 Harris, Bernard J. 15 Sleeman, Brian David 13 Atkinson, Frederick Valentine 13 Edge, William Leonard 13 Galaktionov, Victor Aleksandrovich 13 Howie, John Mackintosh 13 Kwong, Man Kam 12 Evans, William Desmond 12 Faierman, Melvin 12 Fonseca, Irene 11 Shivaji, Ratnasingham 10 Copson, Edward Thomas 10 Laurençot, Philippe 10 Llibre, Jaume 10 Munn, Walter Douglas 10 Peletier, Lambertus Adrianus 10 Rutherford, Daniel Edwin 9 Aitken, Alexander Craig 9 Guo, Zongming 9 Jones, Douglas Samuel 9 Lawley, Derrick Norman 9 Schultze, Bernd 9 Smith, Russell A. 9 Stuart, Charles Alexander 9 van den Berg, Michiel 9 Wright, Edward Maitland 8 Cantrell, Robert Stephen 8 Colton, David Lem 8 Dancer, Edward Norman 8 Elduque, Alberto 8 Hinton, Don Barker 8 Race, David 8 Robertson, Edmund Frederick 8 Wang, Mingxin 8 Wei, Juncheng 8 Zhu, Changjiang 7 Alzer, Horst 7 Brown, Kenneth J. 7 Bruce, James William 7 Cao, Daomin 7 Casado-Díaz, Juan 7 Cheng, Qingming 7 Cosner, Chris 7 Feireisl, Eduard 7 Hale, Jack Kenneth 7 Izumiya, Shyuichi 7 Kono, Akira 7 Korman, Philip L. 7 Langer, Heinz 7 LeFloch, Philippe Gerard 7 Magnus, Robert J. 7 Norbury, John W. 7 Ortega Salvador, Pedro 7 Pavešić, Petar 7 Payne, Lawrence Edward 7 Prince, Alan R. 7 Roach, Gary Francis 7 Troy, William C. 7 Zhang, Kewei 6 Alikakos, Nicholas D. 6 Avrin, Joel D. 6 Budd, Christopher John 6 Crabb, Michael C. 6 Dacorogna, Bernard 6 de Snoo, Hendrik S. V. 6 Del Pino, Manuel A. 6 Du, Yihong 6 Duncan, John 6 Dunster, T. M. 6 Elias, Uri 6 Elliott, Charles M. 6 Giblin, Peter J. 6 Goodman, Timothy N. T. 6 Hsu, TsingSan 6 Kaper, Hans G. 6 Kreith, Kurt 6 Langley, James K. 6 Möller, Manfred 6 Neff, Patrizio 6 Pego, Robert L. 6 Rădulescu, Vicenţiu D. 6 Read, Thomas T. 6 Rodríguez-Bernal, Aníbal 6 Rooney, P. G. 6 Rossi, Julio Daniel 6 Rynne, Bryan P. 6 Sauer, Niko 6 Schaefer, Philip W. 6 Tari, Farid 6 Volkmer, Hans 6 Webb, Jeffrey Ronald Leslie 6 Wu, Tsungfang 6 Yan, Shusen 5 Adimurthi, A. ...and 3,638 more Authors
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### Fields

 1,481 Partial differential equations (35-XX) 651 Ordinary differential equations (34-XX) 442 Operator theory (47-XX) 228 Calculus of variations and optimal control; optimization (49-XX) 223 Functional analysis (46-XX) 204 Fluid mechanics (76-XX) 190 Group theory and generalizations (20-XX) 175 Mechanics of deformable solids (74-XX) 151 Dynamical systems and ergodic theory (37-XX) 141 Global analysis, analysis on manifolds (58-XX) 132 Real functions (26-XX) 126 Differential geometry (53-XX) 99 Biology and other natural sciences (92-XX) 74 Functions of a complex variable (30-XX) 72 Harmonic analysis on Euclidean spaces (42-XX) 72 Integral equations (45-XX) 71 Associative rings and algebras (16-XX) 69 Algebraic topology (55-XX) 69 Manifolds and cell complexes (57-XX) 64 Number theory (11-XX) 59 Statistical mechanics, structure of matter (82-XX) 55 Numerical analysis (65-XX) 54 Probability theory and stochastic processes (60-XX) 44 Special functions (33-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 40 Quantum theory (81-XX) 39 Algebraic geometry (14-XX) 38 Combinatorics (05-XX) 37 Measure and integration (28-XX) 36 Approximations and expansions (41-XX) 34 Several complex variables and analytic spaces (32-XX) 33 Optics, electromagnetic theory (78-XX) 31 Integral transforms, operational calculus (44-XX) 29 Classical thermodynamics, heat transfer (80-XX) 29 Systems theory; control (93-XX) 28 Potential theory (31-XX) 26 Order, lattices, ordered algebraic structures (06-XX) 26 Category theory; homological algebra (18-XX) 25 Nonassociative rings and algebras (17-XX) 24 Mechanics of particles and systems (70-XX) 23 Difference and functional equations (39-XX) 22 Commutative algebra (13-XX) 19 General algebraic systems (08-XX) 18 Abstract harmonic analysis (43-XX) 16 Convex and discrete geometry (52-XX) 15 Geometry (51-XX) 13 General topology (54-XX) 12 Topological groups, Lie groups (22-XX) 7 Relativity and gravitational theory (83-XX) 6 Mathematical logic and foundations (03-XX) 6 Statistics (62-XX) 6 Computer science (68-XX) 5 Operations research, mathematical programming (90-XX) 4 Field theory and polynomials (12-XX) 4 $$K$$-theory (19-XX) 4 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Sequences, series, summability (40-XX) 2 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

3,006 Publications have been cited 31,390 times in 25,321 Documents Cited by Year
On the existence of bounded Palais-Smale sequences and application to a Landesman-Lazer-type problem set on $$\mathbb{R}^N$$. Zbl 0935.35044
Jeanjean, Louis
1999
Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian. Zbl 1290.35308
Felmer, Patricio; Quaas, Alexander; Tan, Jinggang
2012
A concave-convex elliptic problem involving the fractional Laplacian. Zbl 1290.35304
Brändle, C.; Colorado, E.; de Pablo, A.; Sánchez, U.
2013
Solitary waves for nonlinear Klein-Gordon-Maxwell and Schrödinger-Maxwell equations. Zbl 1064.35182
D’Aprile, Teresa; Mugnai, Dimitri
2004
Homoclinic orbits for a class of Hamiltonian systems. Zbl 0705.34054
Rabinowitz, Paul H.
1990
$$H$$-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations. Zbl 0774.35008
Tartar, Luc
1990
Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions. Zbl 0376.34008
Fulton, Charles T.
1977
Positive solutions for the $$p$$-Laplacian: Application of the fibrering method. Zbl 0880.35045
Drábek, Pavel; Pohozaev, Stanislav I.
1997
Approximate controllability of the semilinear heat equation. Zbl 0818.93032
Fabre, Caroline; Puel, Jean-Pierre; Zuazua, Enrike
1995
Local minimisers and singular perturbations. Zbl 0676.49011
Kohn, Robert V.; Sternberg, Peter
1989
On the spectrum of two different fractional operators. Zbl 1304.35752
2014
On the Dirichlet problem for weakly non-linear elliptic partial differential equations. Zbl 0351.35037
Dancer, E. N.
1977
Global invertibility of Sobolev functions and the interpenetration of matter. Zbl 0478.46032
Ball, J. M.
1981
Renormalised solutions of nonlinear parabolic problems with $$L^1$$ data: Existence and uniqueness. Zbl 0895.35050
Blanchard, D.; Murat, F.
1997
Existence and non-existence results for semilinear elliptic problems in unbounded domains. Zbl 0506.35035
Esteban, M. J.; Lions, Pierre-Louis
1982
On a non-local equation arising in population dynamics. Zbl 1133.35056
Coville, Jerome; Dupaigne, Louis
2007
The perturbed test function method for viscosity solutions of nonlinear PDE. Zbl 0679.35001
Evans, Lawrence C.
1989
Density-dependent indecompressible viscous fluids in critical spaces. Zbl 1050.76013
Danchin, R.
2003
Attractors of partial differential evolution equations in an unbounded domain. Zbl 0721.35029
Babin, A. V.; Vishik, M. I.
1990
Multiscale convergence and reiterated homogenisation. Zbl 0866.35017
Allaire, G.; Briane, M.
1996
Periodic homogenisation of certain fully nonlinear partial differential equations. Zbl 0796.35011
Evans, Lawrence C.
1992
Qualitative analysis of a ratio-dependent predator-prey system with diffusion. Zbl 1059.92056
Pang, Peter Y. H.; Wang, Mingxin
2003
Large-time behaviour of solutions to hyperbolic-parabolic systems of conservation laws and applications. Zbl 0653.35066
Kawashima, Shuichi
1987
On the existence of weak solutions for quasilinear parabolic initial- boundary value problems. Zbl 0493.35054
Landes, Ruediger
1981
Diffusive logistic equations with indefinite weights: Population models in disrupted environments. Zbl 0711.92020
Cantrell, Robert Stephen; Cosner, Chris
1989
On a singular nonlinear semilinear elliptic problem. Zbl 0919.35044
Shi, Junping; Yao, Miaoxin
1998
Existence and uniqueness of travelling waves for a neural network. Zbl 0797.35072
Ermentrout, G. Bard; McLeod, J. Bryce
1993
On a class of elliptic problems in $$\mathbb{R}^2$$: Symmetry and uniqueness results. Zbl 1009.35018
Prajapat, J.; Tarantello, G.
2001
Asymptotic stability of travelling waves for Nicholson’s blowflies equation with diffusion. Zbl 1059.34019
Mei, Ming; So, Joseph W.-H.; Li, Michael Y.; Shen, Samuel S. P.
2004
On the topological properties of symplectic maps. Zbl 0713.58004
Hofer, H.
1990
Bifurcation of steady-state solutions in predator-prey and competition systems. Zbl 0554.92012
Blat, J.; Brown, K. J.
1984
Rank-one convexity does not imply quasiconvexity. Zbl 0777.49015
1992
Local existence and blow-up criterion for the Boussinesq equations. Zbl 0882.35096
Chae, Dongho; Nam, Hee-Seok
1997
Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities. Zbl 1215.35146
Cingolani, Silvia; Secchi, Simone; Squassina, Marco
2010
The equation $$u_{tt}-\Delta u=| u| ^ p$$ for the critical value of p. Zbl 0592.35080
Schaeffer, Jack
1985
Nonlinear analytic semiflows. Zbl 0723.34047
Angenent, Sigurd B.
1990
A uniqueness proof for the Wulff theorem. Zbl 0752.49019
Fonseca, Irene; Müller, Stefan
1991
The validity of modulation equations for extended systems with cubic nonlinearities. Zbl 0786.35122
Kirrmann, Pius; Schneider, Guido; Mielke, Alexander
1992
Periodic solutions of higher-dimensional discrete systems. Zbl 1073.39010
Zhou, Zhan; Yu, Jianshe; Guo, Zhiming
2004
On the decay of higher-order norms of the solutions of Navier-Stokes equations. Zbl 0862.35086
Schonbek, Maria E.; Wiegner, Michael
1996
Stability of steady states and existence of travelling waves in a vector-disease model. Zbl 1065.35059
Ruan, Shigui; Xiao, Dongmei
2004
Travelling-wave solutions to the Korteweg-de Vries-Burgers equation. Zbl 0594.76015
Bona, J. L.; Schonbek, M. E.
1985
Permanence in ecological systems with spatial heterogeneity. Zbl 0796.92026
Cantrell, Robert Stephen; Cosner, Chris; Hutson, Vivian
1993
Invariant algebraic curves and conditions for a centre. Zbl 0821.34023
Christopher, C. J.
1994
Orthogonal polynomials satisfying fourth order differential equations. Zbl 0453.33006
Krall, Allan M.
1981
Characterizing homomorphisms, derivations and multipliers in rings with idempotents. Zbl 1130.16018
Brešar, Matej
2007
Non-autonomous equations related to polynomial two-dimensional systems. Zbl 0618.34026
Alwash, M. A. M.; Lloyd, N. G.
1987
Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion. Zbl 0564.73079
Lurie, K. A.; Cherkaev, A. V.
1984
Water waves for small surface tension: An approach via normal form. Zbl 0767.76004
Iooss, Gérard; Kirchgässner, Klaus
1992
Nevanlinna theory for the $$q$$-difference operator and meromorphic solutions of $$q$$-difference equations. Zbl 1137.30009
Barnett, D. C.; Halburd, R. G.; Morgan, W.; Korhonen, R. J.
2007
Amenability of inverse semigroups and their semigroup algebras. Zbl 0393.22004
Duncan, J.; Namioka, I.
1978
Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions. Zbl 1167.34004
Webb, J. R. L.; Infante, Gennaro; Franco, Daniel
2008
Advection-mediated coexistence of competing species. Zbl 1139.35048
Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan
2007
New additive results for the $$g$$-Drazin inverse. Zbl 1088.15006
Castro González, N.; Koliha, J. J.
2004
Qualitative behaviour of positive solutions of a predator-prey model: Effects of saturation. Zbl 0980.35028
Du, Yihong; Lou, Yuan
2001
Using Melnikov’s method to solve Silnikov’s problems. Zbl 0714.34070
Lin, Xiao-Biao
1990
The gradient theory of phase transitions for systems with two potential wells. Zbl 0676.49005
Fonseca, Irene; Tartar, Luc
1989
Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems. Zbl 1088.37005
Efendiev, M.; Zelik, S.; Miranville, A.
2005
Linearization at infinity and Lipschitz estimates for certain problems in the calculus of variations. Zbl 0602.49029
Chipot, Michel; Evans, Lawrence C.
1986
Rank one property for derivatives of functions with bounded variation. Zbl 0791.26008
Alberti, Giovanni
1993
Positive steady states of the Holling-Tanner prey-predator model with diffusion. Zbl 1144.35409
Peng, Rui; Wang, Mingxin
2005
Multiple positive solutions of nonhomogeneous semilinear elliptic equations in $$\mathbb{R}^ N$$. Zbl 0846.35042
Cao, Daomin; Zhou, Huansong
1996
Regularity of an elliptic problem with a singular nonlinearity. Zbl 0805.35032
Gui, Changfeng; Lin, Fang Hua
1993
A new approach to analyticity of Dirichlet-Neumann operators. Zbl 1016.35030
Nicholls, David P.; Reitich, Fernando
2001
Dynamics of a non-autonomous ratio-dependent predator-prey system. Zbl 1032.34044
Fan, Meng; Wang, Qian; Zou, Xingfu
2003
A multiplicity result for a class of elliptic boundary value problems. Zbl 0416.35029
Amann, Herbert; Hess, Peter
1979
Blow-up for quasilinear heat equations with critical Fujita’s exponents. Zbl 0808.35053
Galaktionov, Victor A.
1994
Global existence for the magnetohydrodynamic system in critical spaces. Zbl 1148.35066
2008
Travelling wave solutions for an infection-age structured model with diffusion. Zbl 1178.35117
Ducrot, A.; Magal, P.
2009
The second dual of a Banach algebra. Zbl 0427.46028
Duncan, J.; Hosseiniun, S. A. R.
1979
Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities. Zbl 0824.35128
Galaktionov, Victor A.
1995
Idempotent-connected abundant semigroups. Zbl 0501.20043
El-Qallali, A.; Fountain, J. B.
1981
Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large. Zbl 0799.35081
Guo, Zongming; Webb, J. R. L.
1994
$$T$$-periodic solutions for some second order differential equations with singularities. Zbl 0761.34031
del Pino, Manuel A.; Manásevich, Raúl; Montero, Alberto
1992
Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046
Ambrosio, Luigi; Crippa, Gianluca
2014
Periodic solutions of planar systems with two delays. Zbl 0946.34062
Ruan, Shigui; Wei, Junjie
1999
Regular semigroups with a multiplicative inverse transversal. Zbl 0507.20026
1982
Idempotent rank in finite full transformation semigroups. Zbl 0704.20050
Howie, John M.; McFadden, Robert B.
1990
The number of limit cycles of certain polynomial differential equations. Zbl 0603.34020
Blows, T. R.; Lloyd, N. G.
1984
Stability of strong travelling waves for a non-local time-delayed reaction-diffusion equation. Zbl 1148.35093
Mei, Ming; So, Joseph W.-H.
2008
Non-negative solutions for a class of non-positone problems. Zbl 0659.34018
Castro, Alfonso; Shivaji, R.
1988
On a conjecture related to the number of solutions of a nonlinear Dirichlet problem. Zbl 0533.35037
Lazer, A. C.; McKenna, P. J.
1983
Positive solutions for singular nonlinear elliptic equations. Zbl 1180.35231
Hernández, Jesús; Mancebo, Francisco J.; Vega, José M.
2007
Some applications of Hausdorff dimension inequalities for ordinary differential equations. Zbl 0622.34040
Smith, Russell A.
1986
Optimal decay rate of classical solutions to the compressible magnetohydrodynamic equations. Zbl 1218.35038
Li, Fucai; Yu, Hongjun
2011
Dynamics of a susceptible-infected-susceptible epidemic reaction-diffusion model. Zbl 1353.92094
Deng, Keng; Wu, Yixiang
2016
The critical exponents of parabolic equations and blow-up in $$R^n$$. Zbl 0892.35088
Qi, Yuan-wei
1998
On regular solutions of a nonlinear equation of Choquard’s type. Zbl 0449.35034
Perla Menzala, Gustavo
1980
Exact multiplicity for semilinear elliptic Dirichlet problems involving concave and convex nonlinearities. Zbl 1086.35053
Tang, Moxun
2003
Exact multiplicity results for boundary value problems with nonlinearities generalising cubic. Zbl 0855.34022
Korman, Philip; Li, Yi; Ouyang, Tiancheng
1996
Existence of minimizers for a finite-strain micromorphic elastic solid. Zbl 1106.74010
Neff, Patrizio
2006
A criterion for the existence of solutions of non-linear elliptic boundary value problems. Zbl 0331.35028
Deuel, Johanna; Hess, Peter
1976
On square-integrable solutions of symmetric systems of differential equations of arbitrary order. Zbl 0333.34021
Kogan, V. I.; Rofe-Beketov, F. S.
1976
Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions. Zbl 0458.34013
Fulton, Charles T.
1980
A global estimate for the gradient in a singular elliptic boundary value problem. Zbl 0791.35046
del Pino, Manuel A.
1992
Instability of a class of dispersive solitary waves. Zbl 0713.35108
Souganidis, P. E.; Strauss, W. A.
1990
A compactness result in the gradient theory of phase transitions. Zbl 0986.49009
DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix
2001
On the boundary value problems of electro- and magnetostatics. Zbl 0516.35023
Picard, Rainer
1982
On maps that preserve orthogonality in normed spaces. Zbl 1115.46016
Blanco, A.; Turnšek, A.
2006
Associated Laguerre and Hermite polynomials. Zbl 0547.33006
1984
Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case. Zbl 07483484
Goodrich, Christopher; Lizama, Carlos
2022
Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Zbl 1484.35363
Tao, Youshan; Winkler, Michael
2022
Anisotropic Gauss curvature flows and their associated dual Orlicz-Minkowski problems. Zbl 1485.35252
Chen, Li; Tu, Qiang; Wu, Di; Xiang, Ni
2022
New variable martingale Hardy spaces. Zbl 07506946
Jiao, Yong; Zeng, Dan; Zhou, Dejian
2022
Concentration phenomena for fractional magnetic NLS equations. Zbl 07506947
Ambrosio, Vincenzo
2022
Asymptotic stability of rarefaction wave for the compressible Navier-Stokes-Korteweg equations in the half space. Zbl 07535682
Li, Yeping; Tang, Jing; Yu, Shengqi
2022
Concentration of positive solutions for a class of fractional $$p$$-Kirchhoff type equations. Zbl 07342500
Ambrosio, Vincenzo; Isernia, Teresa; Radulescu, Vicenţiu D.
2021
Semilinear elliptic equations involving mixed local and nonlocal operators. Zbl 1473.35622
Biagi, Stefano; Vecchi, Eugenio; Dipierro, Serena; Valdinoci, Enrico
2021
Local minimizers in absence of ground states for the critical NLS energy on metric graphs. Zbl 1464.35329
Pierotti, Dario; Soave, Nicola; Verzini, Gianmaria
2021
An $$n$$-dimensional chemotaxis system with signal-dependent motility and generalized logistic source: global existence and asymptotic stabilization. Zbl 1467.35324
Lv, Wenbin; Wang, Qingyuan
2021
Shadowing for infinite dimensional dynamics and exponential trichotomies. Zbl 1470.37028
Backes, Lucas; Dragičević, Davor
2021
Regularity for solutions of fully nonlinear elliptic equations with nonhomogeneous degeneracy. Zbl 1459.35154
De Filippis, Cristiana
2021
Existence results for the Kudryashov-Sinelshchikov-Olver equation. Zbl 1462.35144
Coclite, Giuseppe Maria; Di Ruvo, Lorenzo
2021
Edwards’ condition for quasitraces on $$C^*$$-algebras. Zbl 1469.46039
Antoine, Ramon; Perera, Francesc; Robert, Leonel; Thiel, Hannes
2021
Transition waves for lattice Fisher-KPP equations with time and space dependence. Zbl 1466.34022
Wang, Ning; Wang, Zhi-Cheng; Bao, Xiongxiong
2021
Heavy-tailed branching random walks on multidimensional lattices. A moment approach. Zbl 1478.60238
Rytova, Anastasiya; Yarovaya, Elena
2021
Quasilinear elliptic inequalities with Hardy potential and nonlocal terms. Zbl 1473.35264
Ghergu, Marius; Karageorgis, Paschalis; Singh, Gurpreet
2021
Dehn filling Dehn twists. Zbl 07316388
Dahmani, François; Hagen, Mark; Sisto, Alessandro
2021
Controllability of stochastic nonlinear oscillating delay systems driven by the Rosenblatt distribution. Zbl 1462.34104
Sathiyaraj, T.; Wang, JinRong; O&rsquo;Regan, D.
2021
Embeddings of homogeneous Sobolev spaces on the entire space. Zbl 1470.46052
Mihula, Zdeněk
2021
Multiple bound states of higher topological type for semi-classical Choquard equations. Zbl 1459.35178
Liu, Xiaonan; Ma, Shiwang; Xia, Jiankang
2021
Estimates for sums and gaps of eigenvalues of Laplacians on measure spaces. Zbl 1462.35218
Deng, Da-Wen; Ngai, Sze-Man
2021
Stability of periodic waves for the fractional KdV and NLS equations. Zbl 1475.35320
Hakkaev, Sevdzhan; Stefanov, Atanas G.
2021
Immediate smoothing and global solutions for initial data in $$L^1\times W^{1,2}$$ in a Keller-Segel system with logistic terms in 2D. Zbl 1469.35075
Lankeit, Johannes
2021
On the policy improvement algorithm for ergodic risk-sensitive control. Zbl 1469.35166
Arapostathis, Ari; Biswas, Anup; Pradhan, Somnath
2021
Invariant Gibbs dynamics for the dynamical sine-Gordon model. Zbl 1473.35363
Oh, Tadahiro; Robert, Tristan; Sosoe, Philippe; Wang, Yuzhao
2021
Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains. Zbl 1491.37067
Caraballo, Tomás; Guo, Boling; Tuan, Nguyen Huy; Wang, Renhai
2021
Compact groups in which all elements have countable right Engel sinks. Zbl 07446632
Khukhro, E. I.; Shumyatsky, P.
2021
The identity $$G(D)f=F$$ for a linear partial differential operator $$G(D)$$. Lusin type and structure results in the non-integrable case. Zbl 07446636
2021
On supercritical problems involving the Laplace operator. Zbl 1459.35211
Clemente, Rodrigo; do Ó, João Marcos; Ubilla, Pedro
2021
Steady-state solutions of one-dimensional competition models in an unstirred chemostat via the fixed point index theory. Zbl 1468.45004
Lan, Kunquan; Lin, Wei
2021
On approximating minimizers of convex functionals with a convexity constraint by singular Abreu equations without uniform convexity. Zbl 1458.49021
Le, Nam Q.
2021
Globally subanalytic CMC surfaces in $$\mathbb{R}^3$$ with singularities. Zbl 1464.53012
Sampaio, José Edson
2021
Semi-classical solutions for Kirchhoff type problem with a critical frequency. Zbl 1465.35219
Xie, Qilin; Zhang, Xu
2021
A monotonicity result under symmetry and Morse index constraints in the plane. Zbl 1473.35244
2021
Hardy type inequalities on closed manifolds via Ricci curvature. Zbl 1478.53075
Meng, Canjun; Wang, Han; Zhao, Wei
2021
Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities. Zbl 1471.53071
Bellettini, Giovanni; Chambolle, Antonin; Kholmatov, Shokhrukh
2021
On solvable groups with one vanishing class size. Zbl 07400628
Bianchi, M.; Pacifici, E.; Camina, R. D.; Lewis, Mark L.
2021
Cardinal invariants of Haar null and Haar meager sets. Zbl 07400632
Elekes, Márton; Poór, Márk
2021
Retracted: Compact reduction in Lipschitz-free spaces. Zbl 1477.46017
Aliaga, Ramón J.; Noûs, Camille; Petitjean, Colin; Procházka, Antonín
2021
Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials. Zbl 07446633
Matioc, Bogdan-Vasile; Prokert, Georg
2021
A new classification on parallel Ricci tensor for real hypersurfaces in the complex quadric. Zbl 07446634
Lee, Hyunjin; Suh, Young Jin
2021
The convergence rate of the fast signal diffusion limit for a Keller-Segel-Stokes system with large initial data. Zbl 1480.35381
Li, Min; Xiang, Zhaoyin
2021
Large deviations for a class of tempered subordinators and their inverse processes. Zbl 1479.60061
Leonenko, Nikolai; Macci, Claudio; Pacchiarotti, Barbara
2021
Existence of solutions for critical Choquard equations via the concentration-compactness method. Zbl 1437.35213
Gao, Fashun; Da Silva, Edcarlos D.; Yang, Minbo; Zhou, Jiazheng
2020
Some congruences involving fourth powers of central $$q$$-binomial coefficients. Zbl 1468.11067
Guo, Victor J. W.; Wang, Su-Dan
2020
Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329
Cassani, Daniele; Van Schaftingen, Jean; Zhang, Jianjun
2020
A $$p(x)$$-Laplacian extension of the Díaz-Saa inequality and some applications. Zbl 1436.35210
Takáč, Peter; Giacomoni, Jacques
2020
Division algebras of slice functions. Zbl 1455.30040
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
2020
Hyers-Ulam stability for equations with differences and differential equations with time-dependent and periodic coefficients. Zbl 1469.39009
Buşe, Constantin; Lupulescu, Vasile; O&rsquo;Regan, Donal
2020
New sharp Hardy and Rellich type inequalities on Cartan-Hadamard manifolds and their improvements. Zbl 1464.53047
Nguyen, Van Hoang
2020
Long-time asymptotic expansions for Navier-Stokes equations with power-decaying forces. Zbl 1439.35366
Cao, Dat; Hoang, Luan
2020
Fatou components and singularities of meromorphic functions. Zbl 1442.30027
Barański, Krzysztof; Fagella, Núria; Jarque, Xavier; Karpińska, Bogusława
2020
The quasi-Assouad dimension of stochastically self-similar sets. Zbl 1437.28014
Troscheit, Sascha
2020
Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions. Zbl 1436.35059
Barrios, Begoña; Medina, Maria
2020
An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds. Zbl 1457.46043
Berchio, Elvise; Ganguly, Debdip; Grillo, Gabriele; Pinchover, Yehuda
2020
Wave propagation for a class of non-local dispersal non-cooperative systems. Zbl 1465.35282
Yang, Fei-Ying; Li, Wan-Tong; Wang, Jia-Bing
2020
Circulation and energy theorem preserving stochastic fluids. Zbl 1464.76023
Drivas, Theodore D.; Holm, Darryl D.
2020
Multiplicity and concentration results for a fractional Schrödinger-Poisson type equation with magnetic field. Zbl 1437.35689
Ambrosio, Vincenzo
2020
A priori bounds and multiplicity of positive solutions for $$p$$-Laplacian Neumann problems with sub-critical growth. Zbl 1436.35204
Boscaggin, Alberto; Colasuonno, Francesca; Noris, Benedetta
2020
On higher differentiability of solutions of parabolic systems with discontinuous coefficients and $$(p,q)$$-growth. Zbl 1450.35094
Giannetti, Flavia; Passarelli Di Napoli, Antonia; Scheven, Christoph
2020
Liouville-Green expansions of exponential form, with an application to modified Bessel functions. Zbl 1437.34086
Dunster, T. M.
2020
Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel. Zbl 1474.45061
Barik, Prasanta Kumar; Giri, Ankik Kumar; Laurençot, Philippe
2020
Distributions as initial values in a triangular hyperbolic system of conservation laws. Zbl 1470.46064
Sarrico, C. O. R.; Paiva, A.
2020
A new proof of the Hardy-Rellich inequality in any dimension. Zbl 1470.35009
Cazacu, Cristian
2020
Classification of knotted tori. Zbl 1439.57048
Skopenkov, A.
2020
Generalized Lambert series and arithmetic nature of odd zeta values. Zbl 1437.11124
Dixit, Atul; Maji, Bibekananda
2020
A new test for asphericity and diagrammatic reducibility of group presentations. Zbl 1442.57008
Barmak, Jonathan Ariel; Minian, Elias Gabriel
2020
On the generalized Hardy-Rellich inequalities. Zbl 1435.35013
Anoop, T. V.; Das, Ujjal; Sarkar, Abhishek
2020
Quantitative estimates for bending energies and applications to non-local variational problems. Zbl 1437.49005
Goldman, Michael; Novaga, Matteo; Röger, Matthias
2020
Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with $$\mathcal{PT}$$-symmetry. Zbl 1481.34026
Dohnal, Tomáš; Pelinovsky, Dmitry
2020
Nonlocal problems in perforated domains. Zbl 1444.35019
Pereira, Marcone C.; Rossi, Julio D.
2020
Evolutes and focal surfaces of framed immersions in the Euclidean space. Zbl 1437.53006
Honda, Shun&rsquo;ichi; Takahashi, Masatomo
2020
Factoriality, Connes’ type III invariants and fullness of amalgamated free product von Neumann algebras. Zbl 1452.46046
Houdayer, Cyril; Isono, Yusuke
2020
On two cohomological Hall algebras. Zbl 1446.14036
Yang, Yaping; Zhao, Gufang
2020
A pointwise characterisation of the PDE system of vectorial calculus of variations in $$L^\infty$$. Zbl 1444.35058
Ayanbayev, Birzhan; Katzourakis, Nikos
2020
Local existence of strong solutions and weak-strong uniqueness for the compressible Navier-Stokes system on moving domains. Zbl 1460.35259
Kreml, Ondřej; Nečasová, Šárka; Piasecki, Tomasz
2020
On the Poincaré problem and Liouvillian integrability of quadratic Liénard differential equations. Zbl 1465.34038
Demina, Maria V.; Valls, Claudia
2020
Nodal solutions for the fractional Yamabe problem on Heisenberg groups. Zbl 1439.35503
Kristály, Alexandru
2020
On a second numerical index for Banach spaces. Zbl 1447.46011
Kim, Sun Kwang; Lee, Han Ju; Martín, Miguel; Merí, Javier
2020
Induction for locally compact quantum groups revisited. Zbl 1446.46050
2020
A generalization of Krasnosel’skii compression fixed point theorem by using star convex sets. Zbl 07189636
2020
Existence and non-existence of minimal graphic and $$p$$-harmonic functions. Zbl 1445.53031
Casteras, Jean-Baptiste; Heinonen, Esko; Holopainen, Ilkka
2020
A stability index for travelling waves in activator-inhibitor systems. Zbl 1436.35036
Cornwell, Paul; Jones, Christopher K. R. T.
2020
Hausdorff operators on holomorphic Hardy spaces and applications. Zbl 1437.47015
Hung, Ha Duy; Ky, Luong Dang; Quang, Thai Thuan
2020
Coarse fundamental groups and box spaces. Zbl 1481.20149
Delabie, Thiebout; Khukhro, Ana
2020
Dual ground state solutions for the critical nonlinear Helmholtz equation. Zbl 1444.35036
Evéquoz, Gilles; Yeşil, Tolga
2020
Reduced fusion systems over $$p$$-groups with abelian subgroup of index $$p$$. III. Zbl 1481.20070
Oliver, Bob; Ruiz, Albert
2020
The number of solutions of the Erdős-Straus equation and sums of $$k$$ unit fractions. Zbl 1468.11094
Elsholtz, Christian; Planitzer, Stefan
2020
Analytic and geometric properties of dislocation singularities. Zbl 1443.58003
Scala, Riccardo; Van Goethem, Nicolas
2020
Axisymmetric flows in the exterior of a cylinder. Zbl 1446.35092
Abe, K.; Seregin, G.
2020
Ground state solutions of Hamiltonian elliptic systems in dimension two. Zbl 1447.35293
de Figueiredo, Djairo G.; Marcos do Ó, João; Zhang, Jianjun
2020
Positive solutions of semilinear elliptic problems with a Hardy potential. Zbl 1458.35178
Bandle, Catherine; Pozio, Maria Assunta
2020
Duality between $$p$$-groups with three characteristic subgroups and semisimple anti-commutative algebras. Zbl 07220508
Glasby, S. P.; Ribeiro, Frederico A. M.; Schneider, Csaba
2020
Explicit cocycle formulas on finite abelian groups with applications to braided linear Gr-categories and Dijkgraaf-Witten invariants. Zbl 1478.18021
Huang, Hua-Lin; Wan, Zheyan; Ye, Yu
2020
Profinite groups with restricted centralizers of commutators. Zbl 1472.20061
Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel
2020
Fullness of crossed products of factors by discrete groups. Zbl 1470.46093
Marrakchi, Amine
2020
Unimodality of independence polynomials of rooted products of graphs. Zbl 1459.05251
Zhu, Bao-Xuan; Wang, Qingxiu
2020
Nonlinear fractional Laplacian problems with nonlocal ‘gradient terms’. Zbl 1459.35371
Abdellaoui, Boumediene; Fernández, Antonio J.
2020
Cauchy problem and periodic homogenization for nonlocal Hamilton-Jacobi equations with coercive gradient terms. Zbl 1459.35020
Bardi, Martino; Cesaroni, Annalisa; Topp, Erwin
2020
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### Cited by 18,979 Authors

 129 Tang, Xianhua 101 Papageorgiou, Nikolaos S. 93 Wei, Juncheng 83 Rădulescu, Vicenţiu D. 73 Li, Wan-Tong 67 Alves, Claudianor Oliveira 64 Llibre, Jaume 63 Neff, Patrizio 61 Wang, Mingxin 57 Shivaji, Ratnasingham 55 Binding, Paul Anthony 54 Wu, Tsungfang 53 Ambrosio, Vincenzo 52 Miyagaki, Olimpio Hiroshi 52 Shi, Junping 50 Zettl, Anton 48 Agarwal, Ravi P. 48 Wei, Junjie 47 O’Regan, Donal 43 Conti, Sergio 43 Lou, Yuan 43 Schneider, Guido 43 Yang, Minbo 42 Yuan, Rong 41 Chen, Sitong 41 Dancer, Edward Norman 40 Fonseca, Irene 40 Guo, Zongming 40 Ma, Ruyun 40 Nicholls, David P. 40 Vazquez, Juan Luis 39 Suh, Young Jin 38 Mu, Chunlai 38 Zou, Wenming 37 Browne, Patrick J. 37 Mei, Ming 37 Zelik, Sergey V. 36 Gesztesy, Fritz 35 Yao, Zhengan 34 Du, Yihong 33 Casado-Díaz, Juan 33 Guo, Shangjiang 33 Souganidis, Panagiotis E. 33 Wang, Jun 33 Zhang, Fubao 33 Zhou, Jun 32 Everitt, William Norrie 32 Lin, Chang-Shou 32 Mielke, Alexander 32 Pistoia, Angela 32 Ruan, Shigui 32 Zhang, Binlin 31 Cosner, Chris 31 Müller, Stefan 30 Figueiredo, Giovany Malcher 30 Perthame, Benoît 30 Tang, Chun-Lei 30 Wang, Zhi Cheng 30 Yang, Zuodong 29 Afrouzi, Ghasem Alizadeh 29 Del Pino, Manuel A. 29 Giné, Jaume 29 Iwaniec, Tadeusz 29 Molica Bisci, Giovanni 29 Peng, Rui 29 Peng, Shuangjie 29 Poláčik, Peter 29 Rossi, Julio Daniel 28 Fan, Jishan 28 Feng, Zhaosheng 28 Hayashi, Nakao 28 Hsu, TsingSan 28 Littlejohn, Lance L. 28 Peral Alonso, Ireneo 27 Betancor Perez, Jorge Juan 27 Diaz Diaz, Jesus Ildefonso 27 East, James 27 Feireisl, Eduard 27 Fernández-Cara, Enrique 27 García-Melián, Jorge 27 Guo, Xiaojiang 27 Izumiya, Shyuichi 27 Kaikina, Elena Igorevna 27 Laurençot, Philippe 27 Squassina, Marco 27 Winkler, Michael 27 Yan, Shusen 27 Zhang, Weinian 27 Zhang, Ziheng 26 Chen, Haibo 26 Guo, Boling 26 Li, Gongbao 26 Tan, Zhong 26 Ugurlu, Ekin 26 Valls Anglés, Cláudia 26 Wang, Bixiang 26 Wu, Jianhong 26 Yu, Jian-She 26 Zuazua, Enrique 25 Allaire, Grégoire ...and 18,879 more Authors
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### Cited in 867 Journals

 1,576 Journal of Mathematical Analysis and Applications 1,555 Journal of Differential Equations 1,002 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 724 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 448 Archive for Rational Mechanics and Analysis 412 Calculus of Variations and Partial Differential Equations 364 Journal of Functional Analysis 347 Nonlinear Analysis. Theory, Methods & Applications 311 Nonlinear Analysis. Real World Applications 295 Applicable Analysis 285 Mathematical Methods in the Applied Sciences 285 Discrete and Continuous Dynamical Systems 284 Journal of Mathematical Physics 279 Applied Mathematics and Computation 278 Proceedings of the American Mathematical Society 274 Boundary Value Problems 271 ZAMP. Zeitschrift für angewandte Mathematik und Physik 263 Transactions of the American Mathematical Society 263 Communications on Pure and Applied Analysis 228 Applied Mathematics Letters 226 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 216 Physica D 212 Journal of Computational and Applied Mathematics 208 Computers & Mathematics with Applications 195 Annali di Matematica Pura ed Applicata. Serie Quarta 183 Semigroup Forum 183 Journal de Mathématiques Pures et Appliquées. Neuvième Série 177 Mathematische Nachrichten 176 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 174 Discrete and Continuous Dynamical Systems. Series B 173 SIAM Journal on Mathematical Analysis 172 Communications in Partial Differential Equations 170 Linear Algebra and its Applications 170 Journal of Dynamics and Differential Equations 153 Abstract and Applied Analysis 152 Communications in Mathematical Physics 147 Advances in Difference Equations 146 Journal of Algebra 138 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 138 Communications in Contemporary Mathematics 133 Complex Variables and Elliptic Equations 125 Rocky Mountain Journal of Mathematics 120 Proceedings of the Edinburgh Mathematical Society. Series II 119 Results in Mathematics 119 NoDEA. Nonlinear Differential Equations and Applications 118 Journal of Mathematical Sciences (New York) 115 Advances in Mathematics 115 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 115 Acta Mathematica Sinica. English Series 110 Mediterranean Journal of Mathematics 109 Mathematische Annalen 107 Nonlinearity 107 The Journal of Geometric Analysis 106 Mathematische Zeitschrift 106 Advanced Nonlinear Studies 103 Communications in Algebra 100 Communications on Pure and Applied Mathematics 98 Acta Applicandae Mathematicae 97 Comptes Rendus. Mathématique. Académie des Sciences, Paris 91 Bulletin of the Australian Mathematical Society 91 Journal of Nonlinear Science 89 Science China. Mathematics 86 Chaos, Solitons and Fractals 82 Integral Equations and Operator Theory 81 Journal of Computational Physics 78 Israel Journal of Mathematics 78 Discrete and Continuous Dynamical Systems. Series S 76 Acta Mathematicae Applicatae Sinica. English Series 76 Journal of Elasticity 75 Czechoslovak Mathematical Journal 74 Archiv der Mathematik 74 Manuscripta Mathematica 73 Monatshefte für Mathematik 73 Journal of Evolution Equations 71 Glasgow Mathematical Journal 71 Journal of Inequalities and Applications 71 Advances in Nonlinear Analysis 70 Topology and its Applications 68 Journal of Mathematical Biology 66 Mathematical and Computer Modelling 65 Journal d’Analyse Mathématique 64 Journal of Geometry and Physics 64 Journal of Mathematical Fluid Mechanics 61 Journal of Function Spaces 59 Quarterly of Applied Mathematics 59 Electronic Journal of Differential Equations (EJDE) 58 Applied Mathematics and Optimization 57 Topological Methods in Nonlinear Analysis 57 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 56 Journal of Pure and Applied Algebra 55 Mathematical Notes 55 Acta Mathematica Scientia. Series B. (English Edition) 55 Journal of Hyperbolic Differential Equations 54 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 54 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 53 Mathematical Proceedings of the Cambridge Philosophical Society 52 Computer Methods in Applied Mechanics and Engineering 52 Bulletin des Sciences Mathématiques 51 Mathematics of Computation 50 Journal of the Mechanics and Physics of Solids ...and 767 more Journals
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### Cited in 63 Fields

 13,716 Partial differential equations (35-XX) 3,996 Ordinary differential equations (34-XX) 2,522 Operator theory (47-XX) 2,035 Fluid mechanics (76-XX) 1,649 Dynamical systems and ergodic theory (37-XX) 1,607 Biology and other natural sciences (92-XX) 1,577 Calculus of variations and optimal control; optimization (49-XX) 1,508 Mechanics of deformable solids (74-XX) 1,392 Functional analysis (46-XX) 1,175 Numerical analysis (65-XX) 1,124 Global analysis, analysis on manifolds (58-XX) 813 Group theory and generalizations (20-XX) 744 Differential geometry (53-XX) 660 Real functions (26-XX) 650 Statistical mechanics, structure of matter (82-XX) 579 Integral equations (45-XX) 553 Probability theory and stochastic processes (60-XX) 503 Systems theory; control (93-XX) 477 Harmonic analysis on Euclidean spaces (42-XX) 463 Functions of a complex variable (30-XX) 433 Quantum theory (81-XX) 417 Difference and functional equations (39-XX) 416 Optics, electromagnetic theory (78-XX) 359 Special functions (33-XX) 297 Linear and multilinear algebra; matrix theory (15-XX) 285 Associative rings and algebras (16-XX) 268 Mechanics of particles and systems (70-XX) 247 Combinatorics (05-XX) 242 Classical thermodynamics, heat transfer (80-XX) 229 Number theory (11-XX) 229 Manifolds and cell complexes (57-XX) 210 Potential theory (31-XX) 198 Algebraic topology (55-XX) 197 Approximations and expansions (41-XX) 194 Measure and integration (28-XX) 173 Order, lattices, ordered algebraic structures (06-XX) 170 Nonassociative rings and algebras (17-XX) 150 Abstract harmonic analysis (43-XX) 139 Several complex variables and analytic spaces (32-XX) 134 Computer science (68-XX) 122 General topology (54-XX) 108 Operations research, mathematical programming (90-XX) 103 Integral transforms, operational calculus (44-XX) 102 Statistics (62-XX) 99 General algebraic systems (08-XX) 97 Topological groups, Lie groups (22-XX) 95 Algebraic geometry (14-XX) 94 Geophysics (86-XX) 86 Category theory; homological algebra (18-XX) 84 Convex and discrete geometry (52-XX) 83 Information and communication theory, circuits (94-XX) 71 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 55 Relativity and gravitational theory (83-XX) 50 Commutative algebra (13-XX) 48 History and biography (01-XX) 32 Mathematical logic and foundations (03-XX) 31 Sequences, series, summability (40-XX) 31 Geometry (51-XX) 27 General and overarching topics; collections (00-XX) 27 Astronomy and astrophysics (85-XX) 23 Field theory and polynomials (12-XX) 16 $$K$$-theory (19-XX) 1 Mathematics education (97-XX)