Mixed anisotropic and nonlocal Dirichlet (p, q)-eigenvalue problem

被引：0

作者：

Garain, Prashanta ^{[1
]}

Ukhlov, Alexander ^{[2
]}

机构：

[1] Indian Inst Sci Educ & Res Berhampur, Dept Math Sci, Berhampur 760010, Odisha, India

[2] Ben Gurion Univ Negev, Dept Math, POB 653, IL-8410501 Beer Sheva, Israel

来源：

RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA | 2023年 / 14卷 / 01期

关键词：

Mixed local and nonlocal p-Laplacian; Anisotropic p-Laplace operator; Dirichlet eigenvalue problem; existence; regularity; FINSLER P-LAPLACIAN; EIGENVALUE PROBLEM; COMBINATION; UNIQUENESS; EXISTENCE; EQUATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider an anisotropic and a combination of anisotropic and nonlocal Dirichlet (p, q)-eigenvalue problems. We establish existence and regularity of eigenfunctions in a bounded domain Omega subset of R-N under the assumption that 1 < p < infinity and 1 < q < p* where p* = (Np)/ (N-p) if 1 < p < N and p* = infinity if p >= N.

引用

页码：217 / 232

页数：16

共 50 条

[41] On a nonlocal generalization of the biharmonic Dirichlet problem
Berikelashvili, G. K.
Gordeziani, D. G.
DIFFERENTIAL EQUATIONS, 2010, 46 (03) : 321 - 328
[42] On a nonlocal perturbation of a periodic eigenvalue problem
Makin, AS
DIFFERENTIAL EQUATIONS, 2006, 42 (04) : 599 - 602
[43] Dirichlet problem for a nonlocal wave equation
O. Kh. Masaeva
Differential Equations, 2013, 49 : 1518 - 1523
[44] On a nonlocal generalization of the biharmonic Dirichlet problem
G. K. Berikelashvili
D. G. Gordeziani
Differential Equations, 2010, 46 : 321 - 328
[45] Two positive solutions for a Dirichlet problem with the (p,q)-Laplacian
Sciammetta, Angela
Tornatore, Elisabetta
MATHEMATISCHE NACHRICHTEN, 2020, 293 (05) : 1004 - 1013
[46] On the Neumann (p, q)-eigenvalue problem in Holder singular domains
Garain, Prashanta
Pchelintsev, Valerii
Ukhlov, Alexander
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2024, 63 (07)
[47] Resonant Steklov eigenvalue problem involving the (p, q)-Laplacian
Zerouali, A.
Karim, B.
Chakrone, O.
Boukhsas, A.
AFRIKA MATEMATIKA, 2019, 30 (1-2) : 171 - 179
[48] The simplicity of the first eigenvalue for an eigenvalue problem involving the Finsler p-Laplace operator and a nonlocal term
Grecu, Andrei
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2019, 26 (03) : 355 - 363
[49] ON COMPETING (p, q )- LAPLACIAN DIRICHLET PROBLEM WITH UNBOUNDED WEIGHT
Diblik, Josef
Galewski, Marek
Kossowski, Igor
Motreanu, Dumitru
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2025, 38 (1-2) : 23 - 42
[50] Resonant Steklov eigenvalue problem involving the (p, q)-Laplacian
A. Zerouali
B. Karim
O. Chakrone
A. Boukhsas
Afrika Matematika, 2019, 30 : 171 - 179

← 1 2 3 4 5 →