Existence of solutions for a p-Laplacian system with a nonresonance condition between the first and the second eigenvalues

DOI10.5269/BSPM.49016OpenAlexW4210628376MaRDI QIDQ6189543

Unnamed Author, Messaoud Maouni, Unnamed Author

Publication date: 8 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.49016

zbMATH Keywords

Sobolev spaceseigenvaluesquasi-elliptic equationsdegree-theoretic methods

Mathematics Subject Classification ID

Variational inequalities (49J40) Free boundary problems for PDEs (35R35) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Cites Work

• Nontrivial solutions for \(p\)-Laplacian systems
• On a nonresonance condition between the first and the second eigenvalues for the \(p\)-Laplacian
• Existence results for the positive solutions of nonlinear elliptic systems
• Strongly nonlinear elliptic problems near resonance: a variational approach
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