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arXiv · 1612.08921

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

Kanishka Perera·Ratnasingham Shivaji·Inbo Sim
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Abstract

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 $p = 2$.

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Kanishka Perera, Ratnasingham Shivaji, Inbo Sim. 2018-04-12. A class of semipositone $p$-Laplacian problems with a critical growth reaction term. https://arxiv.org/abs/1612.08921

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