Guowei Dai
Abstract:
This article concerns the existence and multiplicity of solutions
for a p(x)-Kirchhoff-type systems with Dirichlet boundary condition.
By a direct variational approach and the theory of the variable
exponent Sobolev spaces, under growth conditions on the reaction terms,
we establish the existence and multiplicity of solutions.
Submitted July 9, 2011. Published October 19, 2011.
Math Subject Classifications: 35D05, 35J60, 35J70.
Key Words: Variational method; nonlinear elliptic systems;
nonlocal condition.
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Guowei Dai Department of Mathematics Northwest Normal University Lanzhou, 730070, China email: daiguowei@nwnu.edu.cn |
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