Eigenvalues of the negative (p,q)-Laplacian under a Steklov-like boundary condition

被引：11

作者：

Barbu, Luminita ^{[1
]}

Morosanu, Gheorghe ^{[2
,3
]}

机构：

[1] Ovidius Univ, Dept Math & Informat, Constanta, Romania

[2] Acad Romanian Scientists, Bucharest, Romania

[3] Babes Bolyai Univ, Fac Math & Comp Sci, Cluj Napoca, Romania

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2019年 / 64卷 / 04期

关键词：

Eigenvalues; (p; q)-Laplacian; Steklov-like boundary condition; Sobolev space; Nehari manifold; variational methods;

D O I：

10.1080/17476933.2018.1477769

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider in a bounded domain Omega subset of R-N with smooth boundary an eigenvalue problem for the negative (p, q)-Laplacian with a Steklov-type boundary condition, where p is an element of (1, infinity), q is an element of (2, infinity) and p not equal q. A full description of the set of eigenvalues of this problem is provided, thus essentially extending a recent result by Abreu and Madeira related to the (p, 2)-Laplacian.

引用

页码：685 / 700

页数：16

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