2002-Fez conference on Partial Differental Equations,
Electron. J. Diff. Eqns., Conf. 09, 2002, pp. 41-47.

Strongly nonlinear elliptic problem without growth condition

Aomar Anane & Omar Chakrone

Abstract:
We study a boundary-value problem for the p-Laplacian with a nonlinear term. We assume only coercivity conditions on the potential and do not assume growth condition on the nonlinearity. The coercivity is obtained by using similar non-resonance conditions as those in [1].

Published December 28, 2002.
Subject classfications: 49R50, 74G65, 35D05.
Key words: p-Laplacian, growth condition.

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Aomar Anane
University Mohamed I,
Department of Mathematics,
Faculty of Sciences,
Box 524, 60000 Oujda, Morocco
e-mail: anane@sciences.univ-oujda.ac.ma
Omar Chakrone
University Mohamed I,
Department of Mathematics,
Faculty of Sciences,
Box 524, 60000 Oujda, Morocco
chakrone@sciences.univ-oujda.ac.ma

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