Three Solutions for a Navier Boundary Value System Involving the (p(x); q(x))-Biharmonic Operator
Honghui Yin
Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210023, China and School of Mathematical Sciences, Huaiyin Normal University, Jiangsu Huaian 223001, China.
Zuodong Yang *
Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210023, China.
*Author to whom correspondence should be addressed.
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].
Keywords: (p(x); q(x))-biharmonic, Sobolev space, three critical points theorem