Superlinear Ambrosetti-Prodi problem for the \(p\)-Laplacian operator

DOI10.1007/s00030-010-0057-2zbMath1191.35135OpenAlexW2000134757MaRDI QIDQ976948

T. Junges Miotto

Publication date: 16 June 2010

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-010-0057-2

zbMATH Keywords

multiplicity of solutionsLeray-Schauder degreesub-supersolutionsblow up technique

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degree theory for nonlinear operators (47H11) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (8)

Sublinear and superlinear Ambrosetti-Prodi problems for the Dirichlet \(p\)-Laplacian ⋮ Ambrosetti-Prodi problems for the Robin \((p, q)\)-Laplacian ⋮ 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 ⋮ On the Ambrosetti-Prodi problem for a system involvingp-Laplacian operator ⋮ Ambrosetti-Prodi-type problems for quasi-linear elliptic equations with nonlocal boundary conditions ⋮ Asymmetric critical \(p\)-Laplacian problems

Cites Work

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