Strong resonance for some quasilinear elliptic equations

DOI10.1006/jmaa.2000.6713zbMath0970.35062OpenAlexW2069729809MaRDI QIDQ1977771

Pavel Drábek, Jiří Bouchala

Publication date: 7 March 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.2000.6713

zbMATH Keywords

quasilinear elliptic equationstrong resonanceLandesman-Lazer condition

Mathematics Subject Classification ID

Related Items (17)

p-Laplacian Systems on Resonance ⋮ A mountain pass algorithm for quasilinear boundary value problem with \(p\)-Laplacian ⋮ Multiple solutions for semilinear elliptic equations near resonance at higher eigenvalues ⋮ Existence and multiplicity of solutions for asymptotically linear noncooperative elliptic systems ⋮ On global dynamics of reaction-diffusion systems at resonance ⋮ A new approach to solving a quasilinear boundary value problem with \(p\)-Laplacian using optimization. ⋮ On elliptic problems satisfying Landesman-Laser conditions. ⋮ Resonance problems for the \(p\)-Laplacian systems ⋮ Strongly resonant quasilinear elliptic equations ⋮ Resonance problems for the \(p\)-Laplacian with a nonlinear boundary condition ⋮ Quasilinear elliptic problems under strong resonance conditions ⋮ Some existence theorems for elliptic resonant problems. ⋮ Resonance Problems for a Class of Singular Elliptic Equations ⋮ Strong Resonance for Hardy-Sobolev Operator ⋮ Some remarks on a class of nonuniformly elliptic equations of \(p\)-Laplacian type ⋮ Resonance problems for \((p,q)\)-Laplacian systems ⋮ Resonance problems for \(p\)-Laplacian

Cites Work

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• On the first eigenvalue of some quasilinear elliptic equations
• Solvability of the forced Duffing equation at resonance
• Solvability for two-point boundary value problems
• Minimax theorems
• Landesman-lazer conditions and quasilinear elliptic equations
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0

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