MULTIPLE SOLUTIONS FOR A FRACTIONAL p-LAPLACIAN EQUATION WITH SIGN -CHANGING POTENTIAL

被引：0

作者：

Ambrosio, Vincenzo ^{[1
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cinthia, I-80126 Naples, Italy

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Fractional p-Laplacian; sign-changing potential; fountain theorem; SCHRODINGER-EQUATION; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the fractional p-Laplace equation (-Delta)(p)(s)u broken vertical bar V(x)vertical bar u vertical bar(p-2)u = f (x, u) in R-N, where s is an element of(0, 1), p >= 2, N >= 2, (-Delta)(p)(s) is the fractional p -Laplace operator, the nonlinearity f is p-superlinear at infinity and the potential V(x) is allowed to be sign-hanging.

引用

页数：12

共 19 条

[11]

Iannizzotto A., 2015, ADV CALC VA IN PRESS

[12] On the existence of bounded Palais-Smale sequences and application to a Landesman-Lazer-type problem set on RN [J].