Existence of positive solutions for a semipositone p-Laplacian problem

Authors

Alfonso Castro, Harvey Mudd CollegeFollow
Djairo G. de Figueredo, Universidade Estadual de Campinas, Brazil
Emer Lopera, Universidad Nacional de Colombia, Colombia

Document Type

Article

Department

Harvey Mudd College

Publication Date

2016

Abstract

We prove the existence of positive solutions to a semipositone p-Laplacian problem combining mountain pass arguments, comparison principles, regularity principles and a priori estimates.

Rights Information

© 2016, Proceedings of the Royal Society of Edinburgh

Recommended Citation

(With D.G. de Figueiredo and E. Lopera) “Existence of positive solutions for a semipositone p-Laplacian problem", Proc. Roy. Soc. Edinburgh Sect. A 146 (2016), no. 3, 475-482.