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
收藏
页码：217 / 232
页数：16
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