Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-27T06:07:33.446Z Has data issue: false hasContentIssue false
  • English
  • Français

Existence of positive solutions for a semipositone p-Laplacian problem

Part of: Elliptic equations and systems

Published online by Cambridge University Press:  16 May 2016

Alfonso Castro ,
Djairo G. de Figueredo  and
Emer Lopera
Alfonso Castro
Affiliation:
Department of Mathematics, Harvey Mudd College, Claremont, CA 91711, USA (castro@g.hmc.edu)
Djairo G. de Figueredo
Affiliation:
Instituto de Matemática, Estatística e Computaҫão Cientifica, Universidade Estadual de Campinas, Caixa Postal 6065, Campinas, SP 13083-859, Brazil (djairo@ime.unicamp.br)
Emer Lopera
Affiliation:
Escuela de Matemáticas, Universidad Nacional de Colombia, Sede Medellín, Apartado Aéreo 3840, Medellín, Colombia (edlopera@unal.edu.co)
Get access Rights & Permissions [Opens in a new window]

Extract

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.

Keywords

mountain pass theoremsemipositone problempositive solutionsp-Laplacianmaximum principlesa priori estimates

MSC classification

Secondary: 35J92: Quasilinear elliptic equations with $p$-Laplacian 35J20: Variational methods for second-order elliptic equations 35J60: Nonlinear elliptic equations
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 146 , Issue 3 , June 2016 , pp. 475 - 482
Copyright
Copyright © Royal Society of Edinburgh 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)