Positive Solutions for Non-Variational Fractional Elliptic Systems with Negative Exponents

IF 0.7 3区数学 Q2 MATHEMATICS

Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2019-03-21 DOI:10.4171/ZAA/1675

A. Araujo, Luiz F. O. Faria, E. Leite, O. Miyagaki

引用次数: 1

Abstract

In this paper, we study strongly coupled elliptic systems in non-variational form with negative exponents involving fractional Laplace operators. We investigate the existence, nonexistence, and uniqueness of the positive classical solution. The results obtained here are a natural extension of the results obtained by Ghergu (2010), for the fractional case.

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具有负指数的非变分分数椭圆系统的正解

在本文中，我们研究了包含分数拉普拉斯算子的具有负指数的非变分形式的强耦合椭圆系统。我们研究了正经典解的存在性、不存在性和唯一性。对于分数情况，这里获得的结果是Ghergu（2010）获得的结果的自然扩展。

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

Zeitschrift fur Analysis und ihre Anwendungen 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Analysis and its Applications aims at disseminating theoretical knowledge in the field of analysis and, at the same time, cultivating and extending its applications. To this end, it publishes research articles on differential equations and variational problems, functional analysis and operator theory together with their theoretical foundations and their applications – within mathematics, physics and other disciplines of the exact sciences.