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Global Solutions of an Obstacle-Problem-Like Equation with Two Phases

Authors:	Henrik Shahgholian Nina Uraltseva Georg S Weiss

Institution:	(1) Royal Institute of Technology, Stockholm, Sweden;(2) St. Petersburg State University, Russia;(3) University of Tokyo, Japan

Abstract:	Concerning the obstacle-problem-like equation $\Delta u = {\lambda_+\over 2} \chi_{\{u > 0\}}-{\lambda_-\over 2}\chi_{\{u < 0\}}$ , where ₊ > 0 and _– > 0, we give a complete characterization of all global two-phase solutions with quadratic growth both at 0 and infinity.

Keywords:	2000 Mathematics Subject Classification: 35R35 35J60
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