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Research Article Open access CC BY 3.0

Three Solutions for a Navier Boundary Value System Involving the (p(x); q(x))-Biharmonic Operator

Honghui Yin, Zuodong Yang

Journal of Advances in Mathematics and Computer Science · pp. 281–290 · Published 29 Apr 2013

10.9734/BJMCS/2013/3166

Abstract

The existence of at least three weak solutions is established for a class of quasilinear elliptic systems involving the (p(x); q(x))-biharmonic operators with Navier boundary value conditions. The technical approach is mainly based on a three critical points theorem due to Ricceri [12].

(p(x); q(x))-biharmonic Sobolev space three critical points theorem

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