Existence and uniqueness of weak and entropy solutions for homogeneous Neumann boundary-value problems involving variable exponents
In this article we study the nonlinear homogeneous Neumann boundary-value problem $$displaylines{ b(u)-hbox{div} a(x,abla u)=fquad hbox{in } Omegacr a(x,abla u).eta=0 quadhbox{on }partial Omega, }$$ where $Omega$ is a smooth bounded open domain in $mathbb{R}^{N}$, $N geq 3$ and $eta$ the oute...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2012-01-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2012/12/abstr.html |