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

[11] EXISTENCE OF A WEAK SOLUTION FOR DISCONTINUOUS ELLIPTIC PROBLEMS INVOLVING THE FRACTIONAL p(.)-LAPLACIAN
Kim, In Hyoun
Bae, Jung-Hyun
Kim, Yun-Ho
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (01) : 89 - 103
[12] Existence of Solutions for a Class of Fractional p-Laplacian Equations with Innovative Conditions
Hassine, Abderrazek B.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2025, 19 (02)
[13] Existence of the maximal weak solution for a class of singular parabolic equations
Xia, Li
Liu, Qiang
Yao, Zheng'an
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (01) : 439 - 446
[14] Existence of Solutions for a Class of Fractional p-Laplacian Equations with Innovative Conditions
Hassine, Abderrazek B.
COMPLEX ANALYSIS AND OPERATOR THEORY, 1600, 1 (00): : 0370-2693 - 1873-2445
[15] Existence of weak solutions for a class of fractional Schrodinger equations with periodic potential
Pu, Yang
Liu, Jiu
Tang, Chun-Lei
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (03) : 465 - 482
[16] Existence and Nonexistence of Weak Positive Solution for a Class of p-Laplacian Systems
Akrout, Kamel
Guefaifia, Rafik
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2014, 27 (02): : 158 - 165
[17] Existence and uniqueness of solution for a class of nonlinear fractional differential equations
Ma, Shichang
Xu, Yufeng
Yue, Wei
ADVANCES IN DIFFERENCE EQUATIONS, 2012, : 1 - 11
[18] Existence and uniqueness of solution for a class of nonlinear fractional differential equations
Shichang Ma
Yufeng Xu
Wei Yue
Advances in Difference Equations, 2012
[19] EXISTENCE OF A WEAK SOLUTION FOR THE FRACTIONAL p-LAPLACIAN EQUATIONS WITH DISCONTINUOUS NONLINEARITIES VIA THE BERKOVITS-TIENARI DEGREE THEORY
Kim, Yun-Ho
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2018, 51 (02) : 371 - 388
[20] Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents
Guo, Yating
Ye, Guoju
JOURNAL OF FUNCTION SPACES, 2021, 2021

← 1 2 3 4 5 →