Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904407 | Acta Mathematica Scientia | 2018 | 28 Pages |
Abstract
In this article, we study the multiplicity and concentration behavior of positive solutions for the p-Laplacian equation of Schrödinger-Kirchhoff type
-âpM(âp-Nâ«RN|âu|p)Îpu+V(x)|u|p-2u=f(u)in
RN, where Îp is the p-Laplacian operator, 1 < p < N, M:
R+âR+ and V:
RNâR+ are continuous functions, ε is a positive parameter, and f is a continuous function with subcritical growth. We assume that V satisfies the local condition introduced by M. del Pino and P. Felmer. By the variational methods, penalization techniques, and Lyusternik-Schnirelmann theory, we prove the existence, multiplicity, and concentration of solutions for the above equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Huifang JIA, Gongbao LI,