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...

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Bibliographic Details
Main Authors: Bernard K. Bonzi, Ismael Nyanquini, Stanislas Ouaro
Format: Article
Language:English
Published: Texas State University 2012-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/12/abstr.html