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arXiv · 1206.3851

Nonlinear Elliptic Dirichlet and No-Flux Boundary Value Problems

Loc Hoang Nguyen·Klaus Schmitt
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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.

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Loc Hoang Nguyen, Klaus Schmitt. 2012-06-18. Nonlinear Elliptic Dirichlet and No-Flux Boundary Value Problems. https://arxiv.org/abs/1206.3851

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