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

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