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Hemivariational inequalities with the potential crossing the first eigenvalue
Published online by Cambridge University Press: 17 April 2009
Abstract
In this paper we study a nonlinear hemivariational inequality involving the p-Laplacian. Our approach is variational and uses a recent nonsmooth Linking Theorem, due to Kourogenis and Papageorgiou (2000). The use of the Linking Theorem instead of the Mountain Pass Theorem allows us to assume an asymptotic behaviour of the generalised potential function which goes beyond the principal eigenvalue of the negative p-Laplacian with Dirichlet boundary conditions.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 64 , Issue 3 , December 2001 , pp. 381 - 393
- Copyright
- Copyright © Australian Mathematical Society 2001
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