A new approach to Liouville theorems for elliptic inequalities

2011/03/07 by Scott A. Armstrong, Armstrong, Scott N., Boyan Sirakov +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Analytic and geometric function theory #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1103.1237

openalex publication_date 2011/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we review a new method for proving the nonexistence of positive solutions of elliptic inequalities in unbounded domains in \rn, which was recently introduced by the authors. We expose our method and new results on the two most frequently encountered cases: inequalities involving the p-Laplacian or the Pucci extremal operator.

Citations

• Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities

Cited by

• On bow-up conditions for systems of higher order differential inequalities

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