Multiple solutions for degenerate elliptic systems near resonance at higher eigenvalues

DOI10.1155/2012/532430zbMath1250.35092OpenAlexW2135463469WikidataQ58695443 ScholiaQ58695443MaRDI QIDQ448722

Yu-Cheng An, Hong-Min Suo

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/532430

zbMATH Keywords

multiplicity of solutionsdegenerate semilinear elliptic systemsnear resonance at higher eigenvalues

Mathematics Subject Classification ID

Higher-order elliptic systems (35J48)

Related Items

Multiple solutions for an elliptic system near resonance

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Multiplicity results for some elliptic systems near resonance with a nonprincipal eigenvalue
• Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics
• Weighted modular inequalities for monotone functions
• Perturbations near resonance for the \(p\)-Laplacian in \({\mathbb R}^{N}\)
• A nonsymmetric asymptotically linear elliptic problem
• Semilinear elliptic problems near resonance with a nonprincipal eigenvalue
• On the principal eigenvalue of degenerate quasilinear elliptic systems
• Multiple solutions for a class of nonlinear boundary value problems near resonance: a variational approach
• Nonlinear eigenvalue problems with the parameter near resonance
• Periodic solutions for second order systems with not uniformly coercive potential