Nonexistence results for systems of elliptic and parabolic differential inequalities in exterior domains of $\mathbb{R}^n$

Yuhua Sun

Vol. 293 (2018), No. 1, 245–256

DOI: 10.2140/pjm.2018.293.245

Abstract

We present a unified approach for the investigation of nonexistence results of systems of elliptic and parabolic differential inequalities. Our results accord with those on elliptic differential inequalities given by Bidaut-Véron and Pohozaev. The results on systems of parabolic differential inequalities are new.

Keywords

system of differential inequalities, critical exponents, exterior domain

Mathematical Subject Classification 2010

Primary: 35K51

Secondary: 35M87

Milestones

Received: 3 July 2016

Revised: 28 July 2017

Accepted: 2 August 2017

Published: 3 November 2017