Nonlinear Liouville problems in a quarter plane
Analysis of PDEs
2015-09-29 v1
Abstract
We answer affirmatively the open problem proposed by Cabr\'e 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).
Keywords
Cite
@article{arxiv.1509.08447,
title = {Nonlinear Liouville problems in a quarter plane},
author = {Chang-Lin Xiang},
journal= {arXiv preprint arXiv:1509.08447},
year = {2015}
}