Nonlinear Elliptic Dirichlet and No-Flux Boundary Value Problems

Abstract

This paper is devoted to establishing results for semilinear elliptic boundary value problems where the solvability of problems subject to No Flux boundary conditions follows from the solvability of related Dirichlet boundary value problems. Throughout it is assumed that the nonlinear perturbation terms are gradient dependent. An extension of No-Flux problems is discussed, as well.

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