A semilinear elliptic boundary value problem at resonance where the nonlinearity may grow linearly

DOI10.1016/0362-546X(91)90203-DzbMath0739.35023OpenAlexW1986669860MaRDI QIDQ3978481

Adolfo J. Rumbos

Publication date: 25 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90203-d

zbMATH Keywords

weak solvabilityLandesman-Lazer conditionCarathéodory functionLeray-Schauder degreesecond order uniformly strongly elliptic differential operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05)

Related Items (12)

On a quasilinear elliptic equation with superlinear nonlinearities ⋮ Double resonance in semilinear elliptic boundary value problems over bounded and unbounded domains ⋮ Bifurcation and multiple solutions for perturbations of linear elliptic problems ⋮ Multiple solutions of semilinear elliptic problems at resonance ⋮ Existence of solutions for quasilinear elliptic equations with superlinear nonlinearities ⋮ Double resonance for quasilinear elliptic higher order partial differential equations between the first and second eigenvalues ⋮ On solvability for a class of quasilinear resonance elliptic equations ⋮ Existence results in weighted Sobolev spaces for some singular quasilinear elliptic equations ⋮ Existence of solutions for a class of quasilinear parabolic equations with superlinear nonlinearities ⋮ Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues ⋮ On a new notion of linking and application to elliptic problems at resonance ⋮ Solvability of elliptic boundary value problems without standard Landesman-Lazer condition

Cites Work

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• Radial solutions for a Dirichlet problem in a ball
• Linear eigenvalues and a nonlinear boundary value problem
• Nonselfadjoint resonance problems with unbounded perturbations
• A Resonance Problem in Which the Nonlinearity May Grow Linearly

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