Multiple solutions for \(p\)-Laplacian systems with critical homogeneous nonlinearity

DOI10.1186/1687-2770-2012-27zbMath1276.35079OpenAlexW2109112683WikidataQ59271187 ScholiaQ59271187MaRDI QIDQ361610

Dengfeng Lü

Publication date: 29 August 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-27

zbMATH Keywords

critical exponentmultiple solutions\(p\)-Laplacian systemLjusternik-Schnirelmann theory

Mathematics Subject Classification ID

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

Related Items (4)

An existence result for a fractional elliptic system involving (p,q)-Laplacian and critical exponent ⋮ Existence of nontrivial solutions of \(p\)-Laplacian equation with sign-changing weight functions ⋮ Unnamed Item ⋮ Multiplicity of solutions for a class of quasilinear Schrödinger systems in \(\mathbb R^N\)

Cites Work

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• Multiple positive solutions for a critical quasilinear elliptic system
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• The Ambrosetti-Prodi problem for gradient elliptic systems with critical homogeneous nonlinearity
• Multiplicity of positive solutions to a \(p\)-Laplacian equation involving critical nonlinearity.
• Multiple solutions for an elliptic system on bounded and unbounded domains
• The Nehari manifold for systems of nonlinear elliptic equations
• Multiple positive solutions for a quasilinear system of Schrödinger equations
• Multiplicity of nodal solutions for a critical quasilinear equation with symmetry
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• A multiplicity result for a variational problem with lack of compactness
• Systems of_p-laplacean equations involving homogeneous nonlinearities with critical sobolev exponent degrees
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Multiple solutions for weighted nonlinear elliptic system involving critical exponents

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