A Neumann problem of Ambrosetti-Prodi type

DOI10.1007/S11784-015-0277-5zbMath1337.35044OpenAlexW2268212597MaRDI QIDQ266371

Adilson Eduardo Presoto, Francisco Odair de Paiva

Publication date: 13 April 2016

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-015-0277-5

zbMATH Keywords

semilinear problemNeumann problemupper and lower solutions methodgradient nonlinearity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61)

Related Items (9)

Ambrosetti-Prodi problems for the Robin \((p, q)\)-Laplacian ⋮ Ambrosetti-Prodi type result to a Neumann problem via a topological approach ⋮ Existence and location of nodal solutions for quasilinear convection-absorption Neumann problems ⋮ Ambrosetti-Prodi type results for a Neumann problem with a mean curvature operator in Minkowski spaces ⋮ An Ambrosetti–Prodi-type problem for the (p,q)-Laplacian operator ⋮ Generalized anisotropic Neumann problems of Ambrosetti-Prodi type with nonstandard growth conditions ⋮ A quasi-linear Neumann problem of Ambrosetti-Prodi type on extension domains ⋮ Ambrosetti-Prodi problem with degenerate potential and Neumann boundary condition ⋮ On an Ambrosetti-Prodi type problem in \(\mathbb{R}^N\)

Cites Work

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• On two problems studied by A. Ambrosetti
• The periodic Ambrosetti-Prodi problem for nonlinear perturbations of the \(p\)-Laplacian
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Sharp existence results for a class of semilinear elliptic problems
• Existence and multiplicity result for a class of second order elliptic equations

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