Multiple solutions for a class of biharmonic elliptic systems with Sobolev critical exponent

DOI10.1016/j.na.2011.06.018zbMath1263.35099OpenAlexW2005445827MaRDI QIDQ640166

Dengfeng Lü

Publication date: 17 October 2011

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.2011.06.018

zbMATH Keywords

critical exponentmultiple solutionsvariational methodbiharmonic elliptic systems

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50)

Related Items (12)

On \(G\)-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in \(R^N\) ⋮ Symmetric solutions for a class of singular biharmonic elliptic systems involving critical exponents ⋮ Multiple solutions for \(p\)-Laplacian systems with critical homogeneous nonlinearity ⋮ Multiplicity of solutions for a class of fourth-order elliptic problems with asymptotically linear term ⋮ High energy solutions for the fourth-order elliptic equations in \(\mathbb R^N\) ⋮ Existence results for nonlinear Schrödinger systems with electromagnetic fields in ℝ^N ⋮ Existence and multiplicity results for critical growth polyharmonic elliptic systems ⋮ High energy solutions of modified quasilinear fourth-order elliptic equations with sign-changing potential ⋮ Multiplicity of solutions for a class of quasilinear Schrödinger systems in \(\mathbb R^N\) ⋮ Multiple nontrivial solutions for critical growth quasilinear elliptic systems ⋮ Multiple solutions for weighted nonlinear elliptic system involving critical exponents ⋮ Ground states solutions for modified fourth-order elliptic systems with steep well potential

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