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Elliptic problems in variable exponent spaces

Published online by Cambridge University Press:  17 April 2009

Mihai Mihailescu
Mihai Mihailescu
Affiliation:
Department of Mathematics, University of Craiova, 200585 Craiova, Romania e-mail: [email protected]
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In this paper we study a nonlinear elliptic equation involving p(x)-growth conditions on a bounded domain having cylindrical symmetry. We establish existence and multiplicity results using as main tools the mountain pass theorem of Ambosetti and Rabinowitz and Ekeland's variational principle.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 74 , Issue 2 , October 2006 , pp. 197 - 206
Copyright
Copyright © Australian Mathematical Society 2006

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