Existence and multiplicity results for a degenerate quasilinear elliptic system near resonance

DOI10.1186/s13661-014-0184-5zbMath1304.35267OpenAlexW2098280108WikidataQ59323233 ScholiaQ59323233MaRDI QIDQ481503

Hong-Min Suo, Yu-Cheng An, Xiong Lu

Publication date: 12 December 2014

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

Full work available at URL: https://doi.org/10.1186/s13661-014-0184-5

zbMATH Keywords

mountain pass theoremsaddle point theoremEkeland's variational principledegenerate elliptic system

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Variational principles in infinite-dimensional spaces (58E30) Weak solutions to PDEs (35D30) Higher-order elliptic systems (35J48)

Related Items (1)

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Cites Work

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• On the dynamics of a degenerate parabolic equation: global bifurcation of stationary states and convergence
• Existence and multiplicity results for some elliptic systems at resonance
• Perturbations near resonance for the \(p\)-Laplacian in \({\mathbb R}^{N}\)
• Multiple nonsemitrivial solutions for quasilinear elliptic systems
• Existence of positive solutions for \(p\)-Laplacian problems with weights
• On the principal eigenvalue of degenerate quasilinear elliptic systems
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Multiple solutions for a class of nonlinear boundary value problems near resonance: a variational approach
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Nonlinear eigenvalue problems with the parameter near resonance

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