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## Costa, David Goldstein

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 Author ID: costa.david-goldstein Published as: Costa, David G.; Costa, D. G.; Costa, David; Costa, D.; Costa, David Goldstein External Links: MGP
 Documents Indexed: 98 Publications since 1974, including 5 Books Reviewing Activity: 10 Reviews
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#### Co-Authors

 14 single-authored 16 Tehrani, Hossein Torabi 5 Carl, Siegfried 4 Guedes de Figueiredo, Djairo 4 Do Ó, João M. Bezerra 4 Abreu Goncalves, Jose Valdo 4 Magalhães, Celius A. 3 Avila, Geraldo S. S. 3 Miyagaki, Olimpio Hiroshi 3 Silva, Elves Alves de Barros e 3 Tintarev, Kyril 3 Willem, Michel 3 Yang, Jianfu 2 Bardos, Claude Williams 2 Chabrowski, Jan H. 2 Ding, Zhonghai 2 Dramé, Abdou Khadry 2 Feng, Wei 2 Feng, Zhaosheng 2 Lu, Xin 2 Ramos, Miguel 2 Rutten, Jan J. M. M. 2 Sun, Xingping 2 Taniguchi, Masaharu 2 Vitolo, Antonio 2 Zhang, Jianjun 1 Ablowitz, Mark Jay 1 Alves, Claudianor Oliveira 1 Arbab, Farhad 1 Arcoya, David 1 Castro, Alfonso 1 Catrina, Florin 1 Cazenave, Thierry 1 Chen, Goong 1 Clarke, Dave 1 Cuesta, Mabel 1 De Almeida, Norton G. 1 Drábek, Pavel 1 Fang, Zhiwei 1 Fotouhi, Morteza 1 Girão, Pedro Martins 1 Guo, Yuxia 1 Hansen, Helle Hvid 1 Jeggle, Hansgeorg 1 Li, Chengyue 1 Liao, Guojun 1 Lopes, Orlando Francisco 1 Magalhães, Cellius A. 1 Manasevich, Raul F. 1 Mivagaki, Olímpio H. 1 Neuberger, John M. 1 Niqui, Milad 1 Oliveira, Allana S. S. 1 Rabinowitz, Paul Henry 1 Ramos Quoirin, Humberto 1 Ruf, Bernhard 1 Schaaf, Renate 1 Schmitt, Klaus 1 Shivaji, Ratnasingham 1 Squassina, Marco 1 Srikanth, P. N. 1 Strauss, Walter Alexander 1 Tenenblat, Keti 1 Thomas, Ralph 1 Tomei, Carlos 1 Villas-Boas, C. J. 1 Zhang, Guoqing
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#### Serials

 10 Journal of Mathematical Analysis and Applications 9 Journal of Differential Equations 6 Nonlinear Analysis. Theory, Methods & Applications 4 Applied Mathematics Letters 4 Electronic Journal of Differential Equations (EJDE) 3 Proceedings of the American Mathematical Society 3 Differential and Integral Equations 3 Topological Methods in Nonlinear Analysis 3 Calculus of Variations and Partial Differential Equations 2 Rocky Mountain Journal of Mathematics 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Communications in Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I 1 Applicable Analysis 1 Journal of Mathematical Physics 1 Boletim da Sociedade Brasileira de Matemática 1 Colloquium Mathematicum 1 Journal of Computational and Applied Mathematics 1 Journal of the Faculty of Science. Section I A 1 Journal of the Operational Research Society 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 Studies in Applied Mathematics 1 Science of Computer Programming 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Matemática Contemporânea 1 Advanced Nonlinear Studies 1 Cubo Matemática Educacional 1 Quantum Information Processing 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Advances in Calculus of Variations 1 Progress in Nonlinear Differential Equations and Their Applications
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#### Fields

 77 Partial differential equations (35-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Ordinary differential equations (34-XX) 14 Operator theory (47-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 Quantum theory (81-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

82 Publications have been cited 1,020 times in 592 Documents Cited by Year
Variational elliptic problems which are nonquadratic at infinity. Zbl 0820.35059
Costa, D. G.; Magalhães, C. A.
1994
A variational approach to subquadratic perturbations of elliptic systems. Zbl 0803.35052
Costa, D. G.; Magalhães, C. A.
1994
Existence results for perturbations of the $$p$$-Laplacian. Zbl 0818.35029
Costa, David G.; Magalhães, Celius A.
1995
A unified approach to a class of strongly indefinite functionals. Zbl 0890.47038
Costa, David G.; Magalhães, Celius A.
1996
A high-linking algorithm for sign-changing solutions of semilinear elliptic equations. Zbl 0941.35023
Ding, Zhonghai; Costa, David; Chen, Goong
1999
Nontrivial solutions for perturbations of the $$p$$-Laplacian on unbounded domains. Zbl 0856.35040
Costa, David G.; Miyagaki, Olimpio H.
1995
On a class of asymptotically linear elliptic problems in $$\mathbb R^N$$. Zbl 1098.35526
Costa, David G.; Tehrani, Hossein
2001
Ants can colour graphs. Zbl 0890.90174
Costa, D.; Hertz, A.
1997
Existence of positive solutions for a class of indefinite elliptic problems in $$\mathbb{R}^N$$. Zbl 1077.35045
Costa, D. G.; Tehrani, H.
2001
A variational approach to noncooperative elliptic systems. Zbl 0852.35039
Costa, David G.; Magalhães, Celius A.
1995
An invitation to variational methods in differential equations. Zbl 1123.35001
Costa, David G.
2007
Some new and short proofs for a class of Caffarelli-Kohn-Nirenberg type inequalities. Zbl 1127.26017
Costa, David G.
2008
Critical point theory for nondifferentiable functionals and applications. Zbl 0717.49007
Costa, D. G.; Gonçalves, J. V. A.
1990
Existence of solution for a class of semilinear elliptic problems at double resonance. Zbl 0704.35048
Costa, D. G.; Oliveira, A. S.
1988
On a class of resonant problems at higher eigenvalues. Zbl 0812.35045
Costa, David G.; de Barros e Silva, Elves Alves
1995
Connector colouring. I: Synchronisation and context dependency. Zbl 1121.68015
Clarke, Dave; Costa, David; Arbab, Farhad
2007
The Palais-Smale condition versus coercivity. Zbl 0733.49011
Costa, David G.; Silva, Elves Alves de Barros e
1991
Existence and multiplicity results for a class of nonlinear elliptic boundary value problems at resonance. Zbl 0479.35037
Costa, D. G.; Goncalves, J. V. A.
1981
Multiplicity results for a class of superlinear elliptic problems. Zbl 1210.35048
Costa, David G.; Wang, Zhiqiang
2005
Nontrivial solutions for a strongly resonant problem. Zbl 0820.35055
Arcoya, D.; Costa, D. G.
1995
A numerical investigation of sign-changing solutions to superlinear elliptic equations on symmetric domains. Zbl 0986.65112
Costa, David G.; Ding, Zhonghai; Neuberger, John M.
2001
On a class of Schrödinger-type equations with indefinite weight functions. Zbl 1180.35089
Chabrowski, J.; Costa, D. G.
2008
Positive solutions to semilinear elliptic equations with logistic type nonlinearities and constant yield harvesting in $$\mathbb R^N$$. Zbl 1156.35026
Costa, David G.; Drábek, Pavel; Tehrani, Hossein T.
2008
The exact number of solutions for a class of ordinary differential equations through Morse index computation. Zbl 0764.34013
Costa, D. G.; de Figueiredo, D. G.; Srikanth, P. N.
1992
Sharp weighted-norm inequalities for functions with compact support in $$\mathbb R^N\setminus \{0\}$$. Zbl 1220.35006
Catrina, Florin; Costa, David G.
2009
Existence and multiplicity results for a class of Schrödinger equations with indefinite nonlinearities. Zbl 1158.35348
Costa, David G.; Tehrani, Hossein
2003
On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions. Zbl 1317.34092
Costa, David G.; Tehrani, Hossein
2014
Oscillatory perturbations of linear problems at resonance. Zbl 0674.35034
Costa, D.; Jeggle, H.; Schaaf, R.; Schmitt, K.
1988
Existence results for resonant perturbations of the Fučik spectrum. Zbl 0896.35047
Costa, David G.; Cuesta, Mabel
1996
A note on problems involving critical Sobolev exponents. Zbl 0812.35046
Costa, D. G.; Silva, E. A.
1995
Existence of solutions for a class of resonant elliptic problems. Zbl 0812.35044
Costa, David G.; Silva, Elves Alves de Barros e
1993
$$\mathcal{D}^{1,2}(\mathbb{R}^N)$$ versus $$C(\mathbb{R}^N)$$ local minimizer and a Hopf-type maximum principle. Zbl 1342.35092
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2016
Multiple critical points of invariant functionals and applications. Zbl 0628.35037
Costa, D. G.; Willem, M.
1986
On Hardy-Rellich type inequalities in $$\mathbb R^N$$. Zbl 1175.26034
Costa, David G.
2009
Non-zero solutions for a Schrödinger equation with indefinite linear and nonlinear terms. Zbl 1149.35346
Costa, David G.; Tehrani, Hossein; Ramos, Miguel
2004
On partition of energy for uniformly propagative systems. Zbl 0354.35061
Costa, David Goldstein
1977
On removability of a singular submanifold for weakly harmonic maps. Zbl 0662.58013
Costa, D.; Liao, Guojun
1988
Unbounded perturbations of resonant Schrödinger equations. Zbl 1173.35461
Costa, David G.; Tehrani, Hossein
2004
On a variational approach to existence and multiplicity results for semipositone problems. Zbl 1120.35307
Costa, David G.; Tehrani, Hossein; Yang, Jianfu
2006
Extremal and sign-changing solutions of supercritical logistic-type equations in $$\mathbb {R}^N$$. Zbl 1335.35031
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2015
On a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type. Zbl 1131.35331
Costa, David G.; Mivagaki, Olímpio H.
2006
Compactness properties of critical nonlinearities and nonlinear Schrödinger equations. Zbl 1280.35134
Costa, David G.; do Ó, João Marcos; Tintarev, K.
2013
Existence result for a class of biharmonic equations with critical growth and singular potential in $$\mathbb R^N$$. Zbl 1317.35092
Zhang, Guoqing; Costa, David G.
2014
On positive solutions of one-dimensional semipositone equations with nonlinear boundary conditions. Zbl 1260.34042
Drame, Abdou K.; Costa, David G.
2012
An elliptic problem which is non-quadratic at infinity. (Un problème elliptique non-quadratique à l’infini.) Zbl 0815.35022
Costa, David G.; Magalhaes, Celius A.
1992
Asymptotic properties of general symmetric hyperbolic systems. Zbl 0432.35053
Avila, G. S. S.; Costa, D. G.
1980
Energy splitting. Zbl 0478.35062
Costa, David G.; Strauss, Walter A.
1981
Radial solutions for a Dirichlet problem in a ball. Zbl 0537.35040
Costa, D. G.; de Figueiredo, D. G.
1985
On existence of positive solutions for a class of Caffarelli-Kohn-Nirenberg type equations. Zbl 1197.35124
Chabrowski, J.; Costa, D. G.
2010
On the uniqueness of solution for a class of semilinear elliptic problems. Zbl 0635.35032
Costa, D. G.; de Figueiredo, D. G.; Gonçalves, J. V. A.
1987
On the existence of positive solutions for a class of non-selfadjoint elliptic boundary value problems. Zbl 0645.35034
Costa, D. G.; Gonçalves, J. V. A.
1989
Points critiques multiples de fonctionnelles invariantes. (Multiple critical points of invariant functionals). Zbl 0581.58010
Costa, David; Willem, Michel
1984
Multiple solutions for a class of strongly indefinite problems. Zbl 0914.35004
Costa, David G.
1998
Variational elliptic problems which are nonquadratic at infinity. Zbl 0787.35031
Costa, D. G.; Magalhães, C. A.
1991
Concentration profiles for the Trudinger-Moser functional are shaped like toy pyramids. Zbl 1290.35113
Costa, David G.; Tintarev, Cyril
2014
$$\mathcal{D}^{1,2}(\mathbb{R}^N)$$ versus $$C(\mathbb{R}^N)$$ local minimizer on manifolds and multiple solutions for zero-mass equations in $$\mathbb{R}^N$$. Zbl 1394.35153
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2018
A variational approach to superlinear semipositone elliptic problems. Zbl 1367.35070
Costa, David G.; Ramos Quoirin, Humberto; Tehrani, Hossein
2017
Asymptotics of ground states for fractional Hénon systems. Zbl 1334.35384
Costa, David G.; Miyagaki, Olímpio H.; Squassina, Marco; Yang, Jianfu
2015
Lusternik-Schnirelman theory and asymptotically linear Hamiltonian systems. Zbl 0622.34044
Costa, D.; Willem, M.
1987
Decay of solutions of symmetric hyperbolic systems of partial differential equations. Zbl 0425.35070
Avila, Geraldo S. S.; Costa, David G.
1979
Estimates at infinity for positive solutions to a class of $$p$$-Laplacian problems in $$\mathbb R^N$$. Zbl 1241.35107
Costa, David G.; Tehrani, Hossein; Thomas, Ralph
2012
Decay along non-bicharacteristic rays of solutions of first order hyperbolic systems. Zbl 0305.35068
Bardos, C.; Costa, D. G.
1975
Existence and concentration of positive solutions for nonlinear Kirchhoff-type problems with a general critical nonlinearity. Zbl 1421.35122
Zhang, Jianjun; Costa, David G.; Do Ó, João Marcos
2018
Extremal solutions of logistic-type equations in exterior domain in $$\mathbb{R}^2$$. Zbl 1401.35115
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2018
Semiclassical states of $$p$$-Laplacian equations with a general nonlinearity in critical case. Zbl 1342.35071
Zhang, Jianjun; Costa, David G.; do Ó, João Marcos
2016
Morse index and exact number of solutions for ODE’s with jumping nonlinearities. Zbl 0749.34012
Costa, D. G.
1991
On best constants for limiting embeddings of fractional Sobolev spaces. Zbl 1206.46034
Costa, David G.; de Figueiredo, Djairo G.; Yang, Jianfu
2010
Existence and nonexistence of least energy solutions of the Neumann problem for a semilinear elliptic equation with critical Sobolev exponent and a critical lower-order perturbation. Zbl 1163.35372
Costa, David G.; Girão, Pedro M.
2003
The jumping nonlinearity problem revisited: an abstract approach. Zbl 1112.35006
Costa, David G.; Tehrani, Hossein
2003
Existence of solution for a class of quasilinear Schrödinger equation in $$\mathbb{R}^N$$ with zero-mass. Zbl 1422.35020
Alves, Claudianor O.; Costa, David G.; Miyagaki, Olímpio H.
2019
Synthesis of Mealy machines using derivatives. Zbl 1276.68111
Hansen, Helle Hvid; Costa, David; Rutten, Jan
2006
Solutions of multidimensional extensions of the anti-self-dual Yang-Mills equation. Zbl 0656.35130
Ablowitz, Mark J.; Costa, David G.; Tenenblat, Keti
1987
Existence and multiplicity results for nonlinear elliptic problems in $$\mathbb{R}^N$$ with an indefinite functional. Zbl 1008.35014
Costa, David G.; Guo, Yuxia; Ramos, Miguel
2002
Simple existence proofs for one-dimensional semi-positone problems. Zbl 1106.34012
Costa, David G.; Tehrani, Hossein
2006
Intentional automata: a context-dependent model for component connectors (extended abstract). Zbl 1353.68163
Costa, David; Niqui, Milad; Rutten, Jan
2012
Schrödinger equations with critical nonlinearity, singular potential and a ground state. Zbl 1192.35061
Costa, David G.; do Ó, João Marcos; Tintarev, Kyril
2010
Equipartition of energy for a class of second order equations. Zbl 0365.34071
Costa, David G.
1977
Asymptotic properties of general symmetric hyperbolic systems. Zbl 0402.35064
Avila, G. S. S.; Costa, D. G.
1978
On a class of elliptic systems in $$\mathbb R^n$$. Zbl 0809.35020
Costa, David G.
1994
On the sign of the mountain pass solution. Zbl 0971.35032
Costa, D. G.; Tehrani, H.
2001
Existence of positive solutions for semi-positone systems. Zbl 1143.34011
Dramé, Abdou K.; Costa, David G.
2008
Secure quantum communication using classical correlated channel. Zbl 1348.81200
Costa, D.; de Almeida, N. G.; Villas-Boas, C. J.
2016
Existence of solution for a class of quasilinear Schrödinger equation in $$\mathbb{R}^N$$ with zero-mass. Zbl 1422.35020
Alves, Claudianor O.; Costa, David G.; Miyagaki, Olímpio H.
2019
$$\mathcal{D}^{1,2}(\mathbb{R}^N)$$ versus $$C(\mathbb{R}^N)$$ local minimizer on manifolds and multiple solutions for zero-mass equations in $$\mathbb{R}^N$$. Zbl 1394.35153
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2018
Existence and concentration of positive solutions for nonlinear Kirchhoff-type problems with a general critical nonlinearity. Zbl 1421.35122
Zhang, Jianjun; Costa, David G.; Do Ó, João Marcos
2018
Extremal solutions of logistic-type equations in exterior domain in $$\mathbb{R}^2$$. Zbl 1401.35115
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2018
A variational approach to superlinear semipositone elliptic problems. Zbl 1367.35070
Costa, David G.; Ramos Quoirin, Humberto; Tehrani, Hossein
2017
$$\mathcal{D}^{1,2}(\mathbb{R}^N)$$ versus $$C(\mathbb{R}^N)$$ local minimizer and a Hopf-type maximum principle. Zbl 1342.35092
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2016
Semiclassical states of $$p$$-Laplacian equations with a general nonlinearity in critical case. Zbl 1342.35071
Zhang, Jianjun; Costa, David G.; do Ó, João Marcos
2016
Secure quantum communication using classical correlated channel. Zbl 1348.81200
Costa, D.; de Almeida, N. G.; Villas-Boas, C. J.
2016
Extremal and sign-changing solutions of supercritical logistic-type equations in $$\mathbb {R}^N$$. Zbl 1335.35031
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2015
Asymptotics of ground states for fractional Hénon systems. Zbl 1334.35384
Costa, David G.; Miyagaki, Olímpio H.; Squassina, Marco; Yang, Jianfu
2015
On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions. Zbl 1317.34092
Costa, David G.; Tehrani, Hossein
2014
Existence result for a class of biharmonic equations with critical growth and singular potential in $$\mathbb R^N$$. Zbl 1317.35092
Zhang, Guoqing; Costa, David G.
2014
Concentration profiles for the Trudinger-Moser functional are shaped like toy pyramids. Zbl 1290.35113
Costa, David G.; Tintarev, Cyril
2014
Compactness properties of critical nonlinearities and nonlinear Schrödinger equations. Zbl 1280.35134
Costa, David G.; do Ó, João Marcos; Tintarev, K.
2013
On positive solutions of one-dimensional semipositone equations with nonlinear boundary conditions. Zbl 1260.34042
Drame, Abdou K.; Costa, David G.
2012
Estimates at infinity for positive solutions to a class of $$p$$-Laplacian problems in $$\mathbb R^N$$. Zbl 1241.35107
Costa, David G.; Tehrani, Hossein; Thomas, Ralph
2012
Intentional automata: a context-dependent model for component connectors (extended abstract). Zbl 1353.68163
Costa, David; Niqui, Milad; Rutten, Jan
2012
On existence of positive solutions for a class of Caffarelli-Kohn-Nirenberg type equations. Zbl 1197.35124
Chabrowski, J.; Costa, D. G.
2010
On best constants for limiting embeddings of fractional Sobolev spaces. Zbl 1206.46034
Costa, David G.; de Figueiredo, Djairo G.; Yang, Jianfu
2010
Schrödinger equations with critical nonlinearity, singular potential and a ground state. Zbl 1192.35061
Costa, David G.; do Ó, João Marcos; Tintarev, Kyril
2010
Sharp weighted-norm inequalities for functions with compact support in $$\mathbb R^N\setminus \{0\}$$. Zbl 1220.35006
Catrina, Florin; Costa, David G.
2009
On Hardy-Rellich type inequalities in $$\mathbb R^N$$. Zbl 1175.26034
Costa, David G.
2009
Some new and short proofs for a class of Caffarelli-Kohn-Nirenberg type inequalities. Zbl 1127.26017
Costa, David G.
2008
On a class of Schrödinger-type equations with indefinite weight functions. Zbl 1180.35089
Chabrowski, J.; Costa, D. G.
2008
Positive solutions to semilinear elliptic equations with logistic type nonlinearities and constant yield harvesting in $$\mathbb R^N$$. Zbl 1156.35026
Costa, David G.; Drábek, Pavel; Tehrani, Hossein T.
2008
Existence of positive solutions for semi-positone systems. Zbl 1143.34011
Dramé, Abdou K.; Costa, David G.
2008
An invitation to variational methods in differential equations. Zbl 1123.35001
Costa, David G.
2007
Connector colouring. I: Synchronisation and context dependency. Zbl 1121.68015
Clarke, Dave; Costa, David; Arbab, Farhad
2007
On a variational approach to existence and multiplicity results for semipositone problems. Zbl 1120.35307
Costa, David G.; Tehrani, Hossein; Yang, Jianfu
2006
On a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type. Zbl 1131.35331
Costa, David G.; Mivagaki, Olímpio H.
2006
Synthesis of Mealy machines using derivatives. Zbl 1276.68111
Hansen, Helle Hvid; Costa, David; Rutten, Jan
2006
Simple existence proofs for one-dimensional semi-positone problems. Zbl 1106.34012
Costa, David G.; Tehrani, Hossein
2006
Multiplicity results for a class of superlinear elliptic problems. Zbl 1210.35048
Costa, David G.; Wang, Zhiqiang
2005
Non-zero solutions for a Schrödinger equation with indefinite linear and nonlinear terms. Zbl 1149.35346
Costa, David G.; Tehrani, Hossein; Ramos, Miguel
2004
Unbounded perturbations of resonant Schrödinger equations. Zbl 1173.35461
Costa, David G.; Tehrani, Hossein
2004
Existence and multiplicity results for a class of Schrödinger equations with indefinite nonlinearities. Zbl 1158.35348
Costa, David G.; Tehrani, Hossein
2003
Existence and nonexistence of least energy solutions of the Neumann problem for a semilinear elliptic equation with critical Sobolev exponent and a critical lower-order perturbation. Zbl 1163.35372
Costa, David G.; Girão, Pedro M.
2003
The jumping nonlinearity problem revisited: an abstract approach. Zbl 1112.35006
Costa, David G.; Tehrani, Hossein
2003
Existence and multiplicity results for nonlinear elliptic problems in $$\mathbb{R}^N$$ with an indefinite functional. Zbl 1008.35014
Costa, David G.; Guo, Yuxia; Ramos, Miguel
2002
On a class of asymptotically linear elliptic problems in $$\mathbb R^N$$. Zbl 1098.35526
Costa, David G.; Tehrani, Hossein
2001
Existence of positive solutions for a class of indefinite elliptic problems in $$\mathbb{R}^N$$. Zbl 1077.35045
Costa, D. G.; Tehrani, H.
2001
A numerical investigation of sign-changing solutions to superlinear elliptic equations on symmetric domains. Zbl 0986.65112
Costa, David G.; Ding, Zhonghai; Neuberger, John M.
2001
On the sign of the mountain pass solution. Zbl 0971.35032
Costa, D. G.; Tehrani, H.
2001
A high-linking algorithm for sign-changing solutions of semilinear elliptic equations. Zbl 0941.35023
Ding, Zhonghai; Costa, David; Chen, Goong
1999
Multiple solutions for a class of strongly indefinite problems. Zbl 0914.35004
Costa, David G.
1998
Ants can colour graphs. Zbl 0890.90174
Costa, D.; Hertz, A.
1997
A unified approach to a class of strongly indefinite functionals. Zbl 0890.47038
Costa, David G.; Magalhães, Celius A.
1996
Existence results for resonant perturbations of the Fučik spectrum. Zbl 0896.35047
Costa, David G.; Cuesta, Mabel
1996
Existence results for perturbations of the $$p$$-Laplacian. Zbl 0818.35029
Costa, David G.; Magalhães, Celius A.
1995
Nontrivial solutions for perturbations of the $$p$$-Laplacian on unbounded domains. Zbl 0856.35040
Costa, David G.; Miyagaki, Olimpio H.
1995
A variational approach to noncooperative elliptic systems. Zbl 0852.35039
Costa, David G.; Magalhães, Celius A.
1995
On a class of resonant problems at higher eigenvalues. Zbl 0812.35045
Costa, David G.; de Barros e Silva, Elves Alves
1995
Nontrivial solutions for a strongly resonant problem. Zbl 0820.35055
Arcoya, D.; Costa, D. G.
1995
A note on problems involving critical Sobolev exponents. Zbl 0812.35046
Costa, D. G.; Silva, E. A.
1995
Variational elliptic problems which are nonquadratic at infinity. Zbl 0820.35059
Costa, D. G.; Magalhães, C. A.
1994
A variational approach to subquadratic perturbations of elliptic systems. Zbl 0803.35052
Costa, D. G.; Magalhães, C. A.
1994
On a class of elliptic systems in $$\mathbb R^n$$. Zbl 0809.35020
Costa, David G.
1994
Existence of solutions for a class of resonant elliptic problems. Zbl 0812.35044
Costa, David G.; Silva, Elves Alves de Barros e
1993
The exact number of solutions for a class of ordinary differential equations through Morse index computation. Zbl 0764.34013
Costa, D. G.; de Figueiredo, D. G.; Srikanth, P. N.
1992
An elliptic problem which is non-quadratic at infinity. (Un problème elliptique non-quadratique à l’infini.) Zbl 0815.35022
Costa, David G.; Magalhaes, Celius A.
1992
The Palais-Smale condition versus coercivity. Zbl 0733.49011
Costa, David G.; Silva, Elves Alves de Barros e
1991
Variational elliptic problems which are nonquadratic at infinity. Zbl 0787.35031
Costa, D. G.; Magalhães, C. A.
1991
Morse index and exact number of solutions for ODE’s with jumping nonlinearities. Zbl 0749.34012
Costa, D. G.
1991
Critical point theory for nondifferentiable functionals and applications. Zbl 0717.49007
Costa, D. G.; Gonçalves, J. V. A.
1990
On the existence of positive solutions for a class of non-selfadjoint elliptic boundary value problems. Zbl 0645.35034
Costa, D. G.; Gonçalves, J. V. A.
1989
Existence of solution for a class of semilinear elliptic problems at double resonance. Zbl 0704.35048
Costa, D. G.; Oliveira, A. S.
1988
Oscillatory perturbations of linear problems at resonance. Zbl 0674.35034
Costa, D.; Jeggle, H.; Schaaf, R.; Schmitt, K.
1988
On removability of a singular submanifold for weakly harmonic maps. Zbl 0662.58013
Costa, D.; Liao, Guojun
1988
On the uniqueness of solution for a class of semilinear elliptic problems. Zbl 0635.35032
Costa, D. G.; de Figueiredo, D. G.; Gonçalves, J. V. A.
1987
Lusternik-Schnirelman theory and asymptotically linear Hamiltonian systems. Zbl 0622.34044
Costa, D.; Willem, M.
1987
Solutions of multidimensional extensions of the anti-self-dual Yang-Mills equation. Zbl 0656.35130
Ablowitz, Mark J.; Costa, David G.; Tenenblat, Keti
1987
Multiple critical points of invariant functionals and applications. Zbl 0628.35037
Costa, D. G.; Willem, M.
1986
Radial solutions for a Dirichlet problem in a ball. Zbl 0537.35040
Costa, D. G.; de Figueiredo, D. G.
1985
Points critiques multiples de fonctionnelles invariantes. (Multiple critical points of invariant functionals). Zbl 0581.58010
Costa, David; Willem, Michel
1984
Existence and multiplicity results for a class of nonlinear elliptic boundary value problems at resonance. Zbl 0479.35037
Costa, D. G.; Goncalves, J. V. A.
1981
Energy splitting. Zbl 0478.35062
Costa, David G.; Strauss, Walter A.
1981
Asymptotic properties of general symmetric hyperbolic systems. Zbl 0432.35053
Avila, G. S. S.; Costa, D. G.
1980
Decay of solutions of symmetric hyperbolic systems of partial differential equations. Zbl 0425.35070
Avila, Geraldo S. S.; Costa, David G.
1979
Asymptotic properties of general symmetric hyperbolic systems. Zbl 0402.35064
Avila, G. S. S.; Costa, D. G.
1978
On partition of energy for uniformly propagative systems. Zbl 0354.35061
Costa, David Goldstein
1977
Equipartition of energy for a class of second order equations. Zbl 0365.34071
Costa, David G.
1977
Decay along non-bicharacteristic rays of solutions of first order hyperbolic systems. Zbl 0305.35068
Bardos, C.; Costa, D. G.
1975
all top 5

#### Cited by 652 Authors

 27 Papageorgiou, Nikolaos S. 20 Costa, David Goldstein 13 Maia, Liliane A. 12 Miyagaki, Olimpio Hiroshi 12 Tehrani, Hossein Torabi 12 Zhang, Jihui 11 Li, Zhaoxiang 11 Zhou, Jianxin 10 Carl, Siegfried 10 Pei, Ruichang 9 Zhou, Huan-Song 9 Zou, Wenming 8 Li, Gongbao 8 Ma, Ruyun 8 Su, Jiabao 7 Arbab, Farhad 7 Huang, Yisheng 7 Li, Shujie 7 Schechter, Martin 7 Tang, Chun-Lei 7 Yang, Zhonghua 7 Zhu, Hailong 6 Afrouzi, Ghasem Alizadeh 6 Alves, Claudianor Oliveira 6 Clarke, Dave 6 Do Ó, João M. Bezerra 6 Halidias, Nikolaos 6 Ruviaro, Ricardo 6 Staicu, Vasile 6 Tang, Xianhua 6 Wang, Zhi-Qiang 6 Yao, Xudong 5 Aizicovici, Sergiu 5 Boureanu, Maria-Magdalena 5 Chen, Guanwei 5 Furtado, Marcelo Fernandes 5 Han, Zhiqing 5 Lehrer, Raquel 5 Ma, Shiwang 5 Naghizadeh, Zohreh 5 Ou, Zengqi 5 Rădulescu, Vicenţiu D. 5 Wu, Xian 4 Da Silva, Edcarlos Domingos 4 Deng, Zhiying 4 Flynn, Joshua 4 Gasiński, Leszek 4 Girão, Pedro Martins 4 Abreu Goncalves, Jose Valdo 4 Lam, Nguyen 4 Lazovik, Alexander 4 Liu, Jiaquan 4 Liu, Zhaoli 4 McKenna, Patrick Joseph 4 Motreanu, Dumitru 4 Nguyen Thanh Chung 4 Pucci, Patrizia 4 Soares, Mayra 4 Wang, Feizhi 4 Zhao, Leiga 3 An, Yukun 3 Benrhouma, Mohamed 3 Candela, Anna Maria 3 Castro, Alfonso 3 Chen, Chuanmiao 3 Chen, Haibo 3 Chen, Xianjin 3 de Albuquerque, José Carlos 3 Guedes de Figueiredo, Djairo 3 de Paiva, Francisco Odair 3 Ding, Yanheng 3 Fan, Xianling 3 Fiacca, Antonella 3 Guo, Yuxia 3 Hoang Quoc Toan 3 Hu, Shouchuan 3 Jia, Gao 3 Kourogenis, Nikolaos C. 3 Krause, Christian 3 Krawcewicz, Wieslaw Z. 3 Kyritsi, Sophia Th. 3 Le, Vy Khoi 3 Li, Anran 3 Lu, Guozhen 3 Medeiros, Everaldo S. 3 Molle, Riccardo 3 da Silva Montenegro, Marcelo 3 Ounaies, Hichem 3 Passaseo, Donato 3 Proença, José 3 Qin, Dongdong 3 Rabier, Patrick J. 3 Repovš, Dušan D. 3 Rybicki, Sławomir Maciej 3 Silva, Elves A. B. 3 Wei, Shihshu Walter 3 Wu, Tsungfang 3 Xie, Ziqing 3 Yang, Jianfu 3 Yang, Minghai ...and 552 more Authors
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#### Cited in 147 Serials

 75 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 70 Journal of Mathematical Analysis and Applications 43 Journal of Differential Equations 18 Nonlinear Analysis. Theory, Methods & Applications 15 Boundary Value Problems 14 Applied Mathematics and Computation 13 NoDEA. Nonlinear Differential Equations and Applications 11 Applied Mathematics Letters 11 Calculus of Variations and Partial Differential Equations 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Journal of Functional Analysis 9 Nonlinear Analysis. Real World Applications 8 Computers & Mathematics with Applications 8 Complex Variables and Elliptic Equations 7 Applicable Analysis 7 Journal of Computational and Applied Mathematics 7 Communications in Partial Differential Equations 6 Transactions of the American Mathematical Society 6 Science of Computer Programming 6 Acta Mathematicae Applicatae Sinica. English Series 6 Abstract and Applied Analysis 6 Advanced Nonlinear Studies 5 Journal of Mathematical Physics 5 Communications in Contemporary Mathematics 5 Communications on Pure and Applied Analysis 4 Mathematical Methods in the Applied Sciences 4 Monatshefte für Mathematik 4 Proceedings of the American Mathematical Society 4 Applied Mathematics and Mechanics. (English Edition) 4 Journal of Scientific Computing 4 Topological Methods in Nonlinear Analysis 4 Mediterranean Journal of Mathematics 4 Journal of Fixed Point Theory and Applications 3 Bulletin of the Australian Mathematical Society 3 Nonlinearity 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Archiv der Mathematik 3 Czechoslovak Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Acta Applicandae Mathematicae 3 Applied Numerical Mathematics 3 Science in China. Series A 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Discrete and Continuous Dynamical Systems 3 Science China. Mathematics 3 Advances in Nonlinear Analysis 3 Journal of Function Spaces 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Collectanea Mathematica 2 Glasgow Mathematical Journal 2 Numerical Functional Analysis and Optimization 2 Osaka Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Theoretical Computer Science 2 Revista Matemática Iberoamericana 2 The Journal of Geometric Analysis 2 Applications of Mathematics 2 Journal of Global Optimization 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 SIAM Journal on Scientific Computing 2 Set-Valued Analysis 2 Bulletin des Sciences Mathématiques 2 Journal of Applied Analysis 2 Positivity 2 Taiwanese Journal of Mathematics 2 Mathematical Inequalities & Applications 2 Communications in Nonlinear Science and Numerical Simulation 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Analysis and Applications (Singapore) 2 Frontiers of Mathematics in China 2 Journal of Mathematical Inequalities 2 Discrete and Continuous Dynamical Systems. Series S 2 S$$\vec{\text{e}}$$MA Journal 2 Journal of Logical and Algebraic Methods in Programming 1 Archive for Rational Mechanics and Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Anais da Academia Brasileira de Ciências 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Aplikace Matematiky 1 Boletim da Sociedade Brasileira de Matemática 1 International Journal of Mathematics and Mathematical Sciences 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Numerische Mathematik 1 Proceedings of the Japan Academy. Series A 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Studies in Applied Mathematics 1 Topology and its Applications 1 Zeitschrift für Analysis und ihre Anwendungen ...and 47 more Serials
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#### Cited in 33 Fields

 465 Partial differential equations (35-XX) 102 Global analysis, analysis on manifolds (58-XX) 72 Operator theory (47-XX) 56 Ordinary differential equations (34-XX) 50 Numerical analysis (65-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 31 Functional analysis (46-XX) 22 Dynamical systems and ergodic theory (37-XX) 20 Real functions (26-XX) 18 Computer science (68-XX) 10 Quantum theory (81-XX) 8 Biology and other natural sciences (92-XX) 7 Differential geometry (53-XX) 7 Mechanics of particles and systems (70-XX) 6 Abstract harmonic analysis (43-XX) 6 Mechanics of deformable solids (74-XX) 5 Topological groups, Lie groups (22-XX) 4 Fluid mechanics (76-XX) 3 Difference and functional equations (39-XX) 3 Operations research, mathematical programming (90-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX)