Infinitely many weak solutions for a class of quasilinear elliptic systems

Gabriele Bonanno; Giovanni Molica Bisci; Donald O'Regan

doi:10.13025/27690

Infinitely many weak solutions for a class of quasilinear elliptic systems

Gabriele Bonanno
, Giovanni Molica Bisci
, Donald O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

41 Citations (Scopus)

Abstract

In this paper we deal with the existence of weak solutions for a quasilinear elliptic system. More precisely the existence of an exactly determined open interval of positive parameters for which the system admits infinitely many weak solutions is established. Our proofs are based on variational methods. (C) 2010 Elsevier Ltd. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	152-160
Number of pages	9
Journal	Mathematical And Computer Modelling
Volume	52
Issue number	1-2
DOIs	https://doi.org/10.13025/27690 https://doi.org/10.1016/j.mcm.2010.02.004
Publication status	Published - 1 Jul 2010

Keywords

Critical points
Dirichlet problem
existence
Externally hosted open access publications with University of Galway authors
multiple solutions
nontrivial solutions
positive solutions
principle
strip-like domains
Variational methods
Weak solutions

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10.13025/27690Licence: CC BY
10.1016/j.mcm.2010.02.004

Cite this

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abstract = "In this paper we deal with the existence of weak solutions for a quasilinear elliptic system. More precisely the existence of an exactly determined open interval of positive parameters for which the system admits infinitely many weak solutions is established. Our proofs are based on variational methods. (C) 2010 Elsevier Ltd. All rights reserved.",

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AU - O'Regan, Donald

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N2 - In this paper we deal with the existence of weak solutions for a quasilinear elliptic system. More precisely the existence of an exactly determined open interval of positive parameters for which the system admits infinitely many weak solutions is established. Our proofs are based on variational methods. (C) 2010 Elsevier Ltd. All rights reserved.

AB - In this paper we deal with the existence of weak solutions for a quasilinear elliptic system. More precisely the existence of an exactly determined open interval of positive parameters for which the system admits infinitely many weak solutions is established. Our proofs are based on variational methods. (C) 2010 Elsevier Ltd. All rights reserved.

KW - Critical points

KW - Dirichlet problem

KW - existence

KW - Externally hosted open access publications with University of Galway authors

KW - multiple solutions

KW - nontrivial solutions

KW - positive solutions

KW - principle

KW - strip-like domains

KW - Variational methods

KW - Weak solutions

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IS - 1-2

ER -

Infinitely many weak solutions for a class of quasilinear elliptic systems

Abstract

Keywords

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