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

Henrik Shahgholian (), Nina Uraltseva () and Georg S. Weiss ()
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Henrik Shahgholian: Royal Institute of Technology, Department of Mathematics
Nina Uraltseva: St. Petersburg State University, Department of Mathematics and Mechanics
Georg S. Weiss: University of Tokyo, Graduate School of Mathematical Sciences

A chapter in Nonlinear Differential Equation Models, 2004, pp 27-34 from Springer

Abstract: Abstract Concerning the obstacle-problem-like equation $$\Delta u = \frac{{\lambda _ + }} {2}\chi \left\{ {u > 0} \right\} - \frac{{\lambda _ - }} {2}\chi \left\{ {u 0 and λ-> 0, we give a complete characterization of all global two-phase solutions with quadratic growth both at 0 and infinity.

Keywords: Free boundary problems; regularity (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-0609-9_4

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DOI: 10.1007/978-3-7091-0609-9_4

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