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.
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页码：685 / 700
页数：16
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