Infinitely many solutions for class of Navier boundary (p,q)-biharmonic systems

Electronic Journal of Differential Equations

关键词: Navier value problem;    infinitely many solutions;    Ricceri's variational principle;   

DOI  :  

来源: DOAJ

【 摘 要 】

This article shows the existence and multiplicity of weak solutionsfor the (p,q)-biharmonic type system$$displaylines{Delta(|Delta u|^{p-2}Delta u)=lambda F_u(x,u,v)quadhbox{in }Omega,crDelta(|Delta v|^{q-2}Delta v)=lambda F_v(x,u,v)quadhbox{in }Omega,cru=v=Delta u=Delta v=0quad hbox{on }partialOmega.}$$Under certain conditions on F, we show the existence of infinitely many weaksolutions. Our technical approach is based on Bonanno and Molica Bisci'sgeneral critical point theorem.

【 授权许可】

Unknown