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

共 50 条

[1] Existence solution for class of p-laplacian equations
Bagheri, Malihe
Bagheri, Mahnaz
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2012, 4 (01): : 53 - 59
[2] EXISTENCE OF WEAK SOLUTIONS TO A CLASS OF SCHRODINGER TYPE EQUATIONS INVOLVING THE FRACTIONAL p-LAPLACIAN IN RN
Kim, Jae-Myoung
Kim, Yun-Ho
Lee, Jongrak
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (06) : 1529 - 1560
[3] EXISTENCE AND NON-EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF FRACTIONAL LAPLACIAN EQUATIONS
Li, Ling
Du, Yihong
Lei, Yutian
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2025,
[4] Global existence and blow-up of weak solutions for a class of fractional p-Laplacian evolution equations
Liao, Menglan
Liu, Qiang
Ye, Hailong
ADVANCES IN NONLINEAR ANALYSIS, 2020, 9 (01) : 1569 - 1591
[5] Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
Qiu, Meilan
Mei, Liquan
Yang, Ganshang
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[6] Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
Meilan Qiu
Liquan Mei
Ganshang Yang
Advances in Difference Equations, 2017
[7] Existence of a positive solution to a class of fractional differential equations
Goodrich, Christopher S.
APPLIED MATHEMATICS LETTERS, 2010, 23 (09) : 1050 - 1055
[8] Existence and Multiplicity of Weak Positive Solutions to a Class of Fractional Laplacian with a Singular Nonlinearity
Xing Wang
Li Zhang
Results in Mathematics, 2019, 74
[9] Existence and Multiplicity of Weak Positive Solutions to a Class of Fractional Laplacian with a Singular Nonlinearity
Wang, Xing
Zhang, Li
RESULTS IN MATHEMATICS, 2019, 74 (02)
[10] Existence of a weak solution for fractional Euler-Lagrange equations
Bourdin, Loic
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 399 (01) : 239 - 251

← 1 2 3 4 5 →