Nonlinear Liouville problems in a quarter plane

2015/09/28 by Chang-Lin Xiang, Xiang, Chang-Lin
Mathematics · #35B09 #35B53 #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B09 #msc:35B53 #msc:35J60

paper · pdf · doi:10.48550/arxiv.1509.08447

arxiv created 2015/09/28 · arxiv updated 2015/09/29

Abstract

We answer affirmatively the open problem proposed by Cabré and Tan in their paper "Positive solutions of nonlinear problems involving the square root of the Laplacian" (see Adv. Math. \bf 224 (2010), no. 5, 2052-2093).

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