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 |
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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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