Positive Solutions for Perturbed Fractional p-Laplacian Problems

被引：0

作者：

Tao, Mengfei ^{[1
]}

Zhang, Binlin ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 10期

基金：

中国国家自然科学基金;

关键词：

fractional p-Laplacian; critical growth; fixed point theorem; EXISTENCE;

D O I：

10.3390/fractalfract6100571

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider a class of quasilinear elliptic equations involving the fractional p-Laplacian, in which the nonlinear term satisfies subcritical or critical growth. Based on a fixed point result due to Carl and Heikkila, we can well overcome the lack of compactness which has been a key difficulty for elliptic equations with critical growth. Moreover, we establish the existence and boundedness of the weak solutions for the above equations.

引用

页数：8

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