A one side superlinear Ambrosetti-Prodi problem for the Dirichlet \(p\)-Laplacian

DOI10.1016/j.jmaa.2010.01.031zbMath1194.35176OpenAlexW2028699953MaRDI QIDQ968841

Mabel Cuesta, Margarita Arias

Publication date: 10 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.01.031

zbMATH Keywords

\(p\)-Laplacian operatorsuperlinear problemsblow-up methodAmbrosetti-Prodi type result

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20) Blow-up in context of PDEs (35B44) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

Sublinear and superlinear Ambrosetti-Prodi problems for the Dirichlet \(p\)-Laplacian ⋮ Ambrosetti-Prodi problems for the Robin \((p, q)\)-Laplacian ⋮ Nonzero positive weak solutions of systems of \(p\)-Laplace equations ⋮ 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

• Unnamed Item
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• The maximum principle
• Ambrosetti-Prodi-type problems for quasilinear elliptic problems.
• On the first eigenvalue of some quasilinear elliptic equations
• Regularity for a more general class of quasilinear equations
• Existence and localization of solution for second order elliptic BVP in presence of lower and upper solutions without any order
• On a superlinear elliptic \(p\)-Laplacian equation.
• The absence of global positive solutions of quasilinear elliptic inequalities
• Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
• A priori estimates and existence of positive solutions for strongly nonlinear problems
• A strong maximum principle for some quasilinear elliptic equations
• Nonexistence of positive solution for quasilinear elliptic problems in the half-space
• Boundary regularity for solutions of degenerate elliptic equations
• A Picone's identity for the p-Laplacian and applications
• The Ambrosetti–Prodi Problem for thep-Laplace Operator

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