Geodesic
Weak solutions for degenerate semilinear elliptic BVPs in unbounded domains
Electronic journal of differential equations, Tome 2012 (2012)
In this article, we prove the existence of a weak solution for the degenerate semilinear elliptic Dirichlet boundary-value problem

$\displaylines{ Lu(x)+\sum_{i=1}^n g(x)h(u(x))D_iu(x)=f(x)\quad \hbox{in }\Omega,\cr u=0\quad \hbox{on }\partial\Omega, }$

in a suitable weighted Sobolev space. Here $\Omega\subset\mathbb{R}^n, 1\leq n\leq3,$ is not necessarily bounded.
Classification : 46E35, 35J61
Keywords: semilinear elliptic boundary value problem, unbounded domain, pseudomonotone operator 
@article{EJDE_2012__2012__a57,
     author = {Kar,  Rasmita},
     title = {Weak solutions for degenerate semilinear elliptic {BVPs} in unbounded domains},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1244.35039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a57/}
}
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TI  - Weak solutions for degenerate semilinear elliptic BVPs in unbounded domains
JO  - Electronic journal of differential equations
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VL  - 2012
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%0 Journal Article
%A Kar,  Rasmita
%T Weak solutions for degenerate semilinear elliptic BVPs in unbounded domains
%J Electronic journal of differential equations
%D 2012
%V 2012
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%F EJDE_2012__2012__a57
Kar,  Rasmita. Weak solutions for degenerate semilinear elliptic BVPs in unbounded domains. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a57/