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On Serrin's overdetermined problem and a conjecture of Berestycki, Caffarelli and Nirenberg

Wang, KL; Wei, JC

Wang, KL (reprint author), Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China.; Wang, KL (reprint author), Wuhan Univ, Computat Sci Hubei Key Lab, Wuhan 430072, Hubei, Peoples R China.; Wei, JC (reprint author), Univ British Columbia, Dept

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019; 44 (9): 837

Abstract

This article concerns rigidity results to Serrin's overdetermined problem in an epigraphWe prove that up to isometry the epigraph must be a half space......

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