Nonlinear Neumann problems on bounded Lipschitz domains

We prove existence and uniqueness, up to a constant, of an entropy solution to the nonlinear and non homogeneous Neumann problem $$displaylines{ -mathop{ m div}[ mathbf{a}(., abla u)] +eta (u)=f quadhbox{ in } Omega cr frac{partial u}{partial u _{mathbf{a}}}+gamma (au u)=g quad hbox{on } partia...

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Bibliographic Details
Main Author: Abdelmajid Siai
Format: Article
Language:English
Published: Texas State University 2005-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/09/abstr.html