Radial symmetry for a generalized nonlinear fractional p-Laplacian problem

Nonlinear Analysis

Guotao Wang¹  Lihong Zhang²  Wenwen Hou²  Ravi P. Agarwal³ 

[1] King Abdulaziz University;Shanxi Normal University;Texas A&M University;

关键词: generalized fractional p-Laplacian;    method of moving planes;    negative powers;    radial symmetry and monotonicity;   

DOI  :  10.15388/namc.2021.26.22358

来源: DOAJ

【 摘 要 】

This paper first introduces a generalized fractional p-Laplacian operator (–Δ)sF;p. By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional p-Laplacian, we study the monotonicity and radial symmetry of positive solutions of a generalized fractional p-Laplacian equation with negative power. In addition, a similar conclusion is also given for a generalized Hénon-type nonlinear fractional p-Laplacian equation.

【 授权许可】

Unknown