Asymptotic behaviors of nonvariational elliptic systems

Chen, Szu-yu Sophie

doi:10.2140/apde.2011.4.85

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Asymptotic behaviors of nonvariational elliptic systems

Szu-yu Sophie Chen

Vol. 4 (2011), No. 1, 85–94

DOI: 10.2140/apde.2011.4.85

Abstract

We use a method, inspired by Pohozaev’s work, to study asymptotic behaviors of nonvariational elliptic systems in dimension $n \geq 3$ . As an application, we prove removal of an apparent singularity in a ball and uniqueness of the entire solution. All results apply to changing sign solutions.

Keywords

elliptic system, decay estimates, Liouville

Mathematical Subject Classification 2000

Primary: 35B40, 35J45

Milestones

Received: 24 November 2008

Revised: 4 March 2010

Accepted: 15 April 2010

Published: 27 March 2011

Authors

Szu-yu Sophie Chen
Institute for Advanced Study Einstein Drive Princeton, NJ 08540 United States	Mathematics Department Fine Hall Washington Road Princeton, NJ 08544 United States

Vol. 4, No. 1, 2011