One-sided resonance problems for quasilinear elliptic operators

DOI10.1006/jmaa.2000.7333zbMath0974.35035OpenAlexW2037092406MaRDI QIDQ5933422

Stephen B. Robinson, Victor L. Shapiro, Adolfo J. Rumbos

Publication date: 6 August 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7333

zbMATH Keywords

Palais-Smale conditionFučik spectrumlinkingresonancesaddle-point

Mathematics Subject Classification ID

Related Items (4)

On solvability for a class of quasilinear resonance elliptic equations ⋮ Weighted and resonance quasilinear elliptic problems with jumping nonlinearities ⋮ Existence of solutions for a class of singular quasilinear elliptic resonance problems ⋮ Existence results in weighted Sobolev spaces for some singular quasilinear elliptic equations

Cites Work

• On the first curve of the Fučik spectrum of an elliptic operator
• Existence results for resonant perturbations of the Fučik spectrum
• The beginning of the Fučik spectrum for the \(p\)-Laplacian
• Asymptotic fixed point theorems
• Nonselfadjoint resonance problems with unbounded perturbations
• Double resonance in semilinear elliptic problems
• Quasilinear ellipticity and the ist eigenvalue
• A variational approach to nonresonance with respect to the Fučik spectrum
• Equivalent Norms for Sobolev Spaces
• Resonance and the Second BVP
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