SIGN-CHANGING SOLUTIONS FOR THE BOUNDARY VALUE PROBLEM INVOLVING THE FRACTIONAL p-LAPLACIAN

被引：2

作者：

Wu, Pengcheng ^{[1
]}

Zhou, Yuying ^{[1
]}

机构：

[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2021年 / 57卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Fractional p-Laplacian; sign-changing solutions; topology degree; deformation lemma; SCALAR FIELD-EQUATIONS; KIRCHHOFF-TYPE PROBLEM; NODAL SOLUTIONS; ELLIPTIC-EQUATIONS; GROUND-STATE; EXISTENCE; REGULARITY;

D O I：

10.12775/TMNA.2020.051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, we consider the following boundary value problem involving the fractional p-Laplacian: (P) (-Delta)(p)(s)u(x) = f (x, u) in Omega, u(x) = 0 in R-N \ Omega. where Omega is a bounded smooth domain in R-N with N >= 1, (-Delta)(p)(s) is the fractional p-Laplacian with s is an element of (0, 1), p is an element of (1, N/s), f (x, u) : Omega x R -> R. Under the improved subcritical polynomial growth condition and other conditions, the existences of a least-energy sign-changing solution for the problem (P) has been established.

引用

页码：597 / 619

页数：23

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