Venkataramanarao Raghavendra, Rasmita Kar
Abstract:
In this study, we prove the existence of a weak solution for
the degenerate semilinear elliptic Dirichlet boundary-value problem
in a suitable weighted Sobolev space.
Here the domain
,
,
is not necessarily bounded, and
is a continuous bounded
nonlinearity. The theory is also extended for
continuous and unbounded.
Submitted October 25, 2009. Published December 15, 2009.
Math Subject Classifications: 35J70, 35D30.
Key Words: Degenerate equations; weighted Sobolev space; unbounded domain.
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Venkataramanarao Raghavendra Department of Mathematics and Statistics Indian Institute of Technology, Kanpur, India 208016 email: vrag@iitk.ac.in | |
Rasmita Kar Department of Mathematics and Statistics Indian Institute of Technology, Kanpur, India 208016 email: rasmita@iitk.ac.in |
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