A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities

62Citations
Citations of this article
14Readers
Mendeley users who have this article in their library.

Abstract

A priori bounds for solutions of a wide class of quasilinear degenerate elliptic inequalities are proved. As an outcome we deduce sharp Liouville theorems. Our investigation includes inequalities associated to p-Laplacian and the mean curvature operators in Carnot groups setting. No hypotheses on the solutions at infinity are assumed. General results on the sign of solutions for quasilinear coercive/noncoercive inequalities are considered. Related applications to population biology and chemical reaction theory are also studied. © 2009 Elsevier Inc.

Cite

CITATION STYLE

APA

D’Ambrosio, L., & Mitidieri, E. (2010). A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities. Advances in Mathematics, 224(3), 967–1020. https://doi.org/10.1016/j.aim.2009.12.017

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free