EXISTENCE OF A WEAK SOLUTION FOR A CLASS OF FRACTIONAL LAPLACIAN EQUATIONS

被引：1

作者：

Raghavendra, V. ^{[1
]}

Kar, Rasmita ^{[2
]}

机构：

[1] LNMIIT, Dept Math, Jaipur 302031, Rajasthan, India

[2] NIT Rourkela, Dept Math, Rourkela 769008, India

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 102卷 / 03期

关键词：

demicontinuous operators; nonlocal operator; NONLOCAL ELLIPTIC-OPERATORS; EXPONENT; SPACES;

D O I：

10.1017/S144678871600032X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of a weak solution of a nonlocal problem -L(K)u-mu ug(1)+h(u)g(2)=f in Omega, u=0 in R-n\Omega, where L-k is a general nonlocal integrodifferential operator of fractional type, mu is a real parameter and Omega is an open bounded subset of R-n (n > 2s, where s is an element of(0, 1) is fixed) with Lipschitz boundary partial derivative Omega. Here f, g(1), g(2):Omega -> R and h:R -> R are functions satisfying suitable hypotheses.

引用

页码：392 / 404

页数：13

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