ON EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF CAFFARELLI-KOHN-NIRENBERG TYPE EQUATIONS

被引：8

作者：

Chabrowski, J. ^{[1
]}

Costa, D. G. ^{[2
]}

机构：

[1] Univ Queensland, Dept Math, St Lucia, Qld 4072, Australia

[2] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA

来源：

COLLOQUIUM MATHEMATICUM | 2010年 / 120卷 / 01期

关键词：

Nehari manifold; Caffarelli-Kohn-Nirenberg inequality; critical nonlinearity; sign-changing weight function; concentration-compactness principle at infinity; SEMILINEAR ELLIPTIC-EQUATIONS; P-LAPLACIAN; CRITICAL EXPONENTS; EIGENVALUE; INEQUALITIES; SIMPLICITY; SYMMETRY;

D O I：

10.4064/cm120-1-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the solvability of a singular equation of Caffarelli-Kohn-Nirenberg type having a critical-like nonlinearity with a sign-changing weight function. We shall examine how the properties of the Nehari manifold and the fibering maps affect the question of existence of positive solutions.

引用

页码：43 / 62

页数：20

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