文献类型：期刊文献

英文题名：The cone Moser-Trudinger inequalities and their applications

作者：Fang, Fei[1]; Ji, Chao[2]

机构：[1] Department of Mathematics, Beijing Technology and Business University, Beijing, 100048; [2] Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China

年份：2018

外文期刊名：arXiv

收录：EI(收录号：20200044186)

语种：英文

摘要：In this article, we firstly study the cone Moser-Trudinger inequalities and their best exponents α2on both bounded and unbounded domains +2. Then, using the cone Moser-Trudinger inequalities, we study the existence of weak solutions to the nonlinear equation (Formula Presented) where ΔBis Fuchsian type Laplace operator investigated with totally characteristic degeneracy on the boundary xl= 0, and the nonlinearity f has the subcritical exponential growth or the critical exponential growth. Copyright ? 2018, The Authors. All rights reserved.