Multiplicity of solutions for a class of (p1,p2,…,pn) $(p_{1},p_{2},\ldots,p_{n})$-Laplacian elliptic systems with a nonsmooth potential

Multiplicity of solutions for a class of (p1,p2,…,pn) $(p_{1},p_{2},\ldots,p_{n})$-Laplacian elliptic systems with a nonsmooth potential

Abstract In this paper, we prove that the following (p1,p2,…,pn) $(p_{1},p_{2},\ldots,p_{n})$-Laplacian elliptic system with a nonsmooth potential has at least three weak solutions: {−Δp1u1+b1(x)|u1|p1−2u1∈λ∂u1F(x,u1,…,un)in Ω,⋯−Δpnun+bn(x)|un|pn−2un∈λ∂unF(x,u1,…,un)in Ω,ui=0for 1≤i≤n on ∂Ω. $$\begi...

Full description

Bibliographic Details
Main Authors: Ziqing Yuan, Yan Wang, Sheng Liu
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Boundary Value Problems
Subjects:
Nonsmooth critical point
Locally Lipschitz
( p 1 , p 2 , … , p n ) $(p_{1},p_{2},\ldots,p_{n})$ -Laplacian
Multiple solutions
Variational methods
Online Access:http://link.springer.com/article/10.1186/s13661-019-1164-6

Internet

http://link.springer.com/article/10.1186/s13661-019-1164-6

Similar Items