A fixed point operator for systems of vector p -Laplacian with singular weights

Boundary value problems

Yong-Hoon Lee¹  Xianghui Xu¹  Inbo Sim² 

[1] Department of Mathematics, Pusan National University, Busan, Republic of Korea;Department of Mathematics, University of Ulsan, Ulsan, Republic of Korea

关键词: p-Laplacian system;    sign-changing weight;    existence;    nontrivial solution;    34B16;    34B18;   

DOI  :  10.1186/s13661-016-0582-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, after establishing a fixed point operator for a strongly coupled vector p-Laplacian with a singular and sign-changing weight function, which may not be integrable, we investigate the existence for the Dirichlet boundary value problems of strongly coupled vector p-Laplacian systems with a nonlinear term consisting of Hadamard product. The proofs are mainly based on topological degree arguments and the global continuation theorem.

【 授权许可】

CC BY