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
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