Multiple solutions for a degenerate elliptic equation involving sublinear terms at infinity

被引：16

作者：

Kristaly, Alexandru ^{[1
,2
]}

Varga, Csaba ^{[3
]}

机构：

[1] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania

[2] Cent European Univ, Dept Math, H-1051 Budapest, Hungary

[3] Univ Babes Bolyai, Dept Math & Comp Sci, Cluj Napoca 400084, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 352卷 / 01期

关键词：

Degenerate elliptic problem; Caffarelli-Kohn-Nirenberg inequality; Sublinearity at infinity; KOHN-NIRENBERG INEQUALITIES; CRITICAL-POINTS THEOREM; EXISTENCE; WEIGHTS; NONEXISTENCE;

D O I：

10.1016/j.jmaa.2008.03.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some multiplicity results are presented for the eigenvalue problem {(-div(vertical bar x vertical bar-2a del u) = lambda vertical bar x vertical bar-2bf(u) + mu vertical bar x vertical bar-2c g(u) in Omega,)(u=0 on partial derivative Omega,) where Omega subset of R(n) (n >= 3) is an open bounded domain with smooth boundary, 0 is an element of Omega, 0 < a < n-2/2, a <= b, c < a + 1, and f : R -> R is sublinear at infinity and superlinear at the origin. Various cases are treated depending on the behaviour of the nonlinear term g. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：139 / 148

页数：10

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