Said El Manouni, Abdelfattah Touzani (2003)
Revista Matemática Complutense
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A nonlinear elliptic system involving the p-Laplacian is considered in the whole R. Existence of nontrivial solutions is obtained by applying critical point theory; also a regularity result is established.
El Manouni, Said, Perera, Kanishka (2007)
Boundary Value Problems [electronic only]
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Gazzola, Filippo (1998)
Abstract and Applied Analysis
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Žubrinić, Darko (2000)
Abstract and Applied Analysis
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Flavia Giannetti
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Gong Bao Li (1987)
Revista Matemática Iberoamericana
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In this paper we get the existence results of the nontrivial weak solution (λ,u) of the following eigenvalue problem of quasilinear elliptic systems -Dα (aαβ(x,u) Dβui) + 1/2 Dui aαβ(x,u)Dαuj Dβuj + h(x) ui = ...
Fernández Bonder, Julián (2004)
Abstract and Applied Analysis
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J. Chabrowski, E. Tonkes (2003)
Annales Polonici Mathematici
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We discuss the existence of solutions for a system of elliptic equations involving a coupling nonlinearity containing a critical and subcritical Sobolev exponent. We establish the existence of ground state solutions. The concentration of solutions is also established as a parameter λ becomes large.
Francesca Alessio, Paolo Caldiroli, Piero Montecchiari (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Chun Li, Zeng-Qi Ou, Chun-Lei Tang (2013)
Studia Mathematica
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Using a version of the Local Linking Theorem and the Fountain Theorem, we obtain some existence and multiplicity results for a class of superquadratic elliptic equations.
Devdariani, G. (2000)
Bulletin of TICMI
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Nazarov, A.I. (2004)
Journal of Mathematical Sciences (New York)
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J. Chabrowski, P. Drábek (2002)
Studia Mathematica
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We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.