Rasmita Kar
Abstract:
In this article, we prove the existence of a weak solution for the
degenerate semilinear elliptic Dirichlet boundary-value problem
in a suitable weighted Sobolev space. Here
,
is not necessarily bounded.
Submitted September 17, 2011. Published March 20, 2012.
Math Subject Classifications: 46E35, 35J61
Key Words: Semilinear elliptic boundary value problem; unbounded domain;
pseudomonotone operator.
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Rasmita Kar Department of Mathematics and Statistics Indian Institute of Technology Kanpur, 208016 India email: rasmi07@gmail.com |
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