A quasi-linear Neumann problem of Ambrosetti-Prodi type on extension domains
DOI10.1016/j.na.2017.05.012zbMath1368.35137OpenAlexW2626389622MaRDI QIDQ2011510
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
a priori estimatesweak solutionsNeumann boundary conditionsHölder continuityLeray-Schauder degree theorysub-supersolution method\(W^{1, p}\)-extension domainupper \(d\)-set
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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Neumann problem of Ambrosetti-Prodi type
- A stability result for nonlinear Neumann problems in Reifenberg flat domains in \(\mathbb R^N\)
- Some general concepts of sub- and supersolutions for nonlinear elliptic problems
- On a sub-supersolution method for variational inequalities with Leray-Lions operators in variable exponent spaces
- Trace results on domains with self-similar fractal boundaries
- A one side superlinear Ambrosetti-Prodi problem for the Dirichlet \(p\)-Laplacian
- Ambrosetti-Prodi-type problems for quasilinear elliptic problems.
- Superlinear Ambrosetti-Prodi problem for the \(p\)-Laplacian operator
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- On the inversion of some differentiable mappings with singularities between Banach spaces
- Martin boundary of a fractal domain
- Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains
- Global regularity for a class of quasi-linear local and nonlocal elliptic equations on extension domains
- Sobolev embeddings, extensions and measure density condition
- A Sobolev extension domain that is not uniform
- Linear and quasilinear elliptic equations
- Change of variables for absolutely continuous functions
- Boundary value problems for some degenerate-elliptic operators
- Construction and decomposition of reflecting diffusions on Lipschitz domains with Hölder cusps
- Sublinear and superlinear Ambrosetti-Prodi problems for the Dirichlet \(p\)-Laplacian
- A class of quasi-linear parabolic and elliptic equations with nonlocal Robin boundary conditions
- On the Ambrosetti-Prodi problem for a system involvingp-Laplacian operator
- An Ambrosetti–Prodi-type result for a quasilinear Neumann problem
- On traces of Sobolev functions on the boundary of extension domains
- Poisson kernel characterization of Reifenberg flat chord arc domains
- On the extension property of Reifenberg-flat domains
- Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces
- The Ambrosetti–Prodi Problem for thep-Laplace Operator
- TheNeumann Laplacian on spaces of continuous functions
- Ambrosetti-Prodi-type problems for quasi-linear elliptic equations with nonlocal boundary conditions
This page was built for publication: A quasi-linear Neumann problem of Ambrosetti-Prodi type on extension domains
