Existence and multiplicity results for Dirichlet problem with fractional Laplacian and nonlinearity

被引：0

作者：

Dorota Bors

Robert Stańczy

机构：

[1] University of Lodz,Faculty of Mathematics and Computer Science

[2] Uniwersytet Wrocławski,Instytut Matematyczny

来源：

Journal of Fixed Point Theory and Applications | 2021年 / 23卷

关键词：

fractional laplacian; fixed point; integral equation; differential equation; cone compression and expansion; 35Q; 35J66; 35R11;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The existence and multiplicity results for Dirichlet BVPs with the fractional Laplacian are established depending on the range of parameter and behavior of the nonlinearity at zero and at infinity.

引用

共 50 条

[41] Existence of positive solutions for a parameter fractional p-Laplacian problem with semipositone nonlinearity
Lopera, Emer
Lopez, Camila
Vidal, Raul E.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 526 (02)
[42] Existence and multiplicity results for a doubly anisotropic problem with sign-changing nonlinearity
Leggat, Ahmed Reda
Miri, Sofiane El-Hadi
NOTE DI MATEMATICA, 2019, 39 (02): : 1 - 12
[43] MULTIPLICITY RESULTS FOR A SUPERLINEAR DIRICHLET PROBLEM
DEPADUA, JCN
JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 82 (02) : 356 - 371
[44] MULTIPLICITY RESULTS FOR A NONLINEAR DIRICHLET PROBLEM
SOLIMINI, S
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1984, 96 : 331 - 336
[45] MULTIPLICITY RESULTS FOR A KIRCHHOFF SINGULAR PROBLEM INVOLVING THE FRACTIONAL P-LAPLACIAN
Hsini, Mounir
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (03): : 884 - 900
[46] A multiplicity results for a singular problem involving the fractional p-Laplacian operator
Ghanmi, A.
Saoudi, K.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2016, 61 (09) : 1199 - 1216
[47] Existence of Solutions for a Fractional Laplacian Equation with Critical Nonlinearity
Shen, Zifei
Gao, Fashun
ABSTRACT AND APPLIED ANALYSIS, 2013,
[48] Existence and concentration results for a (p, q)-Laplacian problem with a general critical nonlinearity
Ambrosio, Vincenzo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 539 (02)
[49] Multiplicity Results for the Fractional Laplacian in Expanding Domains
Figueiredo, Giovany M.
Pimenta, Marcos T. O.
Siciliano, Gaetano
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (03)
[50] Multiplicity Results for the Fractional Laplacian in Expanding Domains
Giovany M. Figueiredo
Marcos T. O. Pimenta
Gaetano Siciliano
Mediterranean Journal of Mathematics, 2018, 15

← 1 2 3 4 5 →