A class of semipositone $p$-Laplacian problems with a critical growth reaction term
Analysis of PDEs
2018-04-13 v3
Abstract
We prove the existence of ground state positive solutions for a class of semipositone -Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform a priori estimates and by concentration compactness arguments. Our results are new even in the semilinear case .
Keywords
Cite
@article{arxiv.1612.08921,
title = {A class of semipositone $p$-Laplacian problems with a critical growth reaction term},
author = {Kanishka Perera and Ratnasingham Shivaji and Inbo Sim},
journal= {arXiv preprint arXiv:1612.08921},
year = {2018}
}