On the solvability of a quasilinear elliptic resonance problem near its first eigenvalue

DOI10.1006/jmaa.1999.6328zbMath0931.35051OpenAlexW1994572700MaRDI QIDQ1295888

Chung-Cheng Kuo

Publication date: 5 October 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6328

zbMATH Keywords

Brouwer's fixed point theoremLandesman-Lazer conditionGalerkin-type techniquesquasilinear elliptic resonance problem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Nonlinear elliptic equations (35J60)

Related Items (4)

Solvability of a quasilinear elliptic resonance equation on theN-torus ⋮ Resonance problem of a class of singular quasilinear elliptic equations ⋮ Existence results in weighted Sobolev spaces for some singular quasilinear elliptic equations ⋮ On the solvability of a quasilinear parabolic partial differential equation at resonance.

Cites Work

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• Nonlinear distributions and quasilinear ellipticity
• Nonlinear perturbations of a linear elliptic problem near its first eigenvalue
• Applied functional analysis. Main principles and their applications
• Quasilinear ellipticity and the ist eigenvalue
• Equivalent Norms for Sobolev Spaces

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