A quasi-linear Neumann problem of Ambrosetti-Prodi type on extension domains

DOI10.1016/j.na.2017.05.012zbMath1368.35137OpenAlexW2626389622MaRDI QIDQ2011510

Alejandro Vélez-Santiago

Publication date: 3 August 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2017.05.012

zbMATH Keywords

a priori estimatesweak solutionsNeumann boundary conditionsHölder continuityLeray-Schauder degree theorysub-supersolution method\(W^{1, p}\)-extension domainupper \(d\)-set

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (max. 100)

Generalized anisotropic Neumann problems of Ambrosetti-Prodi type with nonstandard growth conditions ⋮ Ambrosetti-Prodi problem with degenerate potential and Neumann boundary condition ⋮ Retracted article: ``Existence results for the general Schrödinger equations with a superlinear Neumann boundary value problem

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