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

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 C1,α a priori estimates and by concentration compactness arguments. Our results are new even in the...

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Bibliographic Details
Main Authors: Perera Kanishka, Shivaji Ratnasingham, Sim Inbo
Format: Article
Language:English
Published: De Gruyter 2019-06-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2020-0012