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On some noncoercive variational inequalities containing degenerate elliptic operators

Published online by Cambridge University Press:  17 February 2009

Vy Khoi Le
Vy Khoi Le
Affiliation:
Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, MO 65409, USA; e-mail: [email protected].
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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 3 , January 2003 , pp. 409 - 430
Copyright
Copyright © Australian Mathematical Society 2003

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