Weak solutions for some fractional singular (p, q)-Laplacian nonlocal problems with Hardy potential

被引：9

作者：

Razani, A. ^{[1
]}

Behboudi, F. ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin 3414896818, Iran

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 03期

关键词：

Fractional (p . q)-Laplacian operator; Singular problem; Variational methods; Weak solution; CHAPMAN-JOUGUET DETONATION; DIFFERENTIAL-EQUATION; LAPLACIAN PROBLEMS; ELLIPTIC PROBLEMS; EXISTENCE; MULTIPLICITY; THEOREM;

D O I：

10.1007/s12215-022-00768-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Here, a suitable method is presented to treat the elliptic partial derivative equations, especially the fractional singular (p, q)-Laplacian elliptic problems. These kinds of equations are used in the study of fluid flow, diffusive transport akin to diffusion, rheology, probability, electrical networks and etc. The existence of nontrivial solutions for some singular boundary value problems involving the fractional (p, q)-Laplacian operator in a smooth enough bounded domain in R-N is proved. The method is based on the theory of the fractional Sobolev space via the variational method and critical point theory.

引用

页码：1639 / 1654

页数：16

共 39 条

[1] ON THE WEAK SOLUTIONS OF AN OVERDETERMINED SYSTEM OF NONLINEAR FRACTIONAL PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS [J].