A class of semipositone p -Laplacian problems with a critical growth reaction term

Advances in Nonlinear Analysis

article

Kanishka Perera¹  Ratnasingham Shivaji²  Inbo Sim³ 

[1] Department of Mathematical Sciences, Florida Institute of Technology;Department of Mathematics and Statistics, University of North Carolina at Greensboro;Department of Mathematics, University of Ulsan

关键词: critical semipositone p-Laplacian problems;    ground state positive solutions;    concentration compactness;    uniform C1;    α a priori estimates;   

DOI  :  10.1515/anona-2020-0012

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

We prove the existence of ground state positive solutions for a class of semipositone p -Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform C 1, α a priori estimates and by concentration compactness arguments. Our results are new even in the semilinear case p = 2.

【 授权许可】

CC BY