Nonlinear Elliptic Dirichlet and No-Flux Boundary Value Problems
Analysis of PDEs
2012-07-03 v2
Abstract
This paper is devoted to establishing results for semilinear elliptic boundary value problems where the solvability of problems subject to {\it No Flux} boundary conditions follows from the solvability of related {\it Dirichlet} boundary value problems. Throughout it is assumed that the nonlinear perturbation terms are gradient dependent. An extension of \textit{No-Flux} problems is discussed, as well.
Cite
@article{arxiv.1206.3851,
title = {Nonlinear Elliptic Dirichlet and No-Flux Boundary Value Problems},
author = {Loc Hoang Nguyen and Klaus Schmitt},
journal= {arXiv preprint arXiv:1206.3851},
year = {2012}
}