ANZIAM J.
44 (2003), 409-430
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On some noncoercive variational inequalities containing degenerate elliptic operators
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Vy Khoi Le
Department of Mathematics and Statistics
University of Missouri-Rolla
Rolla, MO 65409
USA
vy@umr.edu
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Abstract
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We are concerned with the solvability of
variational inequalities that contain degenerate
elliptic operators. By using a recession
approach, we find conditions on the boundary
conditions such that the inequality has at least
one solution. Existence results of
Landesman-Lazer type for a nonsmooth inequality
and a resonance problem for a weighted
p-Laplacian are discussed in detail.
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