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EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A NEUMANN PROBLEM INVOLVING VARIABLE EXPONENT GROWTH CONDITIONS

Published online by Cambridge University Press:  01 September 2008

MARIA-MAGDALENA BOUREANU  and
MIHAI MIHĂILESCU
MARIA-MAGDALENA BOUREANU
Affiliation:
Department of Mathematics, University of Craiova, 200585 Craiova, Romania e-mail: mmboureanu@yahoo.com
MIHAI MIHĂILESCU*
Affiliation:
Department of Mathematics, Central European University, 1051 Budapest, Hungary e-mail: mmihailes@yahoo.com
*
*Corresponding author.
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Abstract

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In this paper we study a non-linear elliptic equation involving p(x)-growth conditions and satisfying a Neumann boundary condition on a bounded domain. For that equation we establish the existence of two solutions using as a main tool an abstract linking argument due to Brézis and Nirenberg.

Keywords

35D0535J6035J7058E0576A02
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 3 , September 2008 , pp. 565 - 574
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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