Geodesic
Nonlinear Neumann problems on bounded Lipschitz domains
Electronic journal of differential equations, Tome 2005 (2005)
We prove existence and uniqueness, up to a constant, of an entropy solution to the nonlinear and non homogeneous Neumann problem

$\displaylines{ -\mathop{\rm div}[ \mathbf{a}(.,\nabla u)] +\beta (u)=f \quad\hbox{ in } \Omega \cr \frac{\partial u}{\partial \nu _{\mathbf{a}}}+\gamma (\tau u)=g \quad \hbox{on } \partial \Omega\,. }$

Our approach is based essentially on the theory of m-accretive operators in Banach spaces, and in order preserving properties.
Classification : 35J60, 35J70, 47J05
Keywords: nonlinear Neumann problem, m-completely accretive operator 
@article{EJDE_2005__2005__a243,
     author = {Siai,  Abdelmajid},
     title = {Nonlinear {Neumann} problems on bounded {Lipschitz} domains},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1129.35407},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a243/}
}
TY  - JOUR
AU  - Siai,  Abdelmajid
TI  - Nonlinear Neumann problems on bounded Lipschitz domains
JO  - Electronic journal of differential equations
PY  - 2005
VL  - 2005
UR  - http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a243/
LA  - en
ID  - EJDE_2005__2005__a243
ER  - 
%0 Journal Article
%A Siai,  Abdelmajid
%T Nonlinear Neumann problems on bounded Lipschitz domains
%J Electronic journal of differential equations
%D 2005
%V 2005
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a243/
%G en
%F EJDE_2005__2005__a243
Siai,  Abdelmajid. Nonlinear Neumann problems on bounded Lipschitz domains. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a243/