On the solvability of a nonlinear second-order elliptic equation at resonance

DOI10.1090/S0002-9939-96-03145-0zbMath0844.35034OpenAlexW1531305523MaRDI QIDQ4874305

Chung-Cheng Kuo

Publication date: 29 August 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03145-0

zbMATH Keywords

degree theoryLandesman-Lazer condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (14)

Some existence theorems for the sublinear Neumann boundary value problem ⋮ Existence and multiplicity of solutions for Neumann problems ⋮ Multiplicity results and qualitative properties for Neumann semilinear elliptic problems ⋮ On resonant Neumann problems ⋮ Multiple solutions of Neumann problem for elliptic equations. ⋮ Neumann problems resonant at zero and infinity ⋮ Existence and multiplicity for solutions of Neumann problem for semilinear elliptic equations. ⋮ One-sided multiple resonance for quasilinear elliptic partial differential equations ⋮ Multiple solutions of a class of Neumann problem for semilinear elliptic equations ⋮ Solvability of Neumann problem for elliptic equations at resonance ⋮ Multiple nontrivial solutions for resonant Neumann problems ⋮ On existence and multiplicity of solutions of Neumann boundary value problems for quasi-linear elliptic equations ⋮ Nontrivial solutions for a class of resonant \(p\)-Laplacian Neumann problems ⋮ Some existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited

Cites Work

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• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Perturbations with some superlinear growth for a class of second order elliptic boundary value problems
• Landesman-Lazer conditions for problems with “one- side unbounded” nonlinearities
• Double resonance in semilinear elliptic problems
• Nonlinear Second Order Elliptic Partial Differential Equations at Resonance
• Perturbations of second order linear elliptic problems by unbounded nonlinearities

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