Existence and multiplicity of positive solutions for semilinear elliptic systems with Sobolev critical exponents

DOI10.1016/j.na.2009.03.080zbMath1176.35064OpenAlexW2060393910MaRDI QIDQ732538

Chang-Mu Chu, Chun-Lei Tang

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.080

zbMATH Keywords

positive solutionsvariational approachelliptic systemssub-supersolution methodSobolev critical exponents

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Related Items

The numbers of positive solutions by the Lusternik-Schnirelmann category for a quasilinear elliptic system critical with Hardy terms, Multiple solutions for \(p\)-Laplacian systems with critical homogeneous nonlinearity, Multiplicity of positive solutions for semilinear elliptic systems, Existence results for a class of degenerate quasilinear elliptic systems, Multiplicity of positive solutions for a semilinear \(p\)-Laplacian system with Sobolev critical exponent, Multiple positive solutions for semilinear elliptic systems, Multiple solutions for a class of biharmonic elliptic systems with Sobolev critical exponent, Existence of nontrivial solutions of \(p\)-Laplacian equation with sign-changing weight functions, Existence and multiplicity results for critical growth polyharmonic elliptic systems, The Nehari manifold approach for multiplicity of positive solutions to semilinear elliptic system involving multi-singular inverse square potentials with Sobolev critical exponent, Unnamed Item, Multiple positive solutions for semi-linear elliptic systems with sign-changing weight, An existence result for a class of \(p\)-Laplacian elliptic systems involving homogeneous nonlinearities in \(\mathbb R^N\), Unnamed Item

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