Semilinear Dirichlet problem for subordinate spectral Laplacian

IF 1 3区数学 Q1 MATHEMATICS

Communications on Pure and Applied Analysis Pub Date : 2022-06-17 DOI:10.3934/cpaa.2023012

I. Biočić

引用次数: 0

Abstract

We study semilinear problems in bounded C1,1 domains for non-local operators with a boundary condition. The operators cover and extend the case of the spectral fractional Laplacian. We also study harmonic functions with respect to the nonlocal operator and boundary behaviour of Green and Poisson potentials. AMS 2020 Mathematics Subject Classification: Primary 35J61, 35R11; Secondary 35C15, 31B10, 31B25, 31C05, 60J35

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次谱拉普拉斯算子的半线性Dirichlet问题

研究具有边界条件的非局部算子在有界C1,1域上的半线性问题。这些算子涵盖并扩展了谱分数阶拉普拉斯算子的情况。我们还研究了关于非局部算子的调和函数以及格林势和泊松势的边界行为。AMS 2020数学学科分类:初级35J61, 35R11;二级35C15、31B10、31B25、31C05、60J35

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications on Pure and Applied Analysis 数学-数学

CiteScore

1.90

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： CPAA publishes original research papers of the highest quality in all the major areas of analysis and its applications, with a central theme on theoretical and numeric differential equations. Invited expository articles are also published from time to time. It is edited by a group of energetic leaders to guarantee the journal''s highest standard and closest link to the scientific communities.