NODAL SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS ON COMPACT RIEMANNIAN MANIFOLDS

被引：4
|
作者：
Benalili, Mohammed [1 ]
机构：
[1] Univ Abou Bekr Belkaid Tlemcen, Fac Sci, Dept Math, Tilimsen, Algeria
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2010年 / 12卷 / 06期
关键词：
Nodal solutions; quasilinear elliptic equations; mountain pass theorem; CRITICAL SOBOLEV EXPONENTS; CURVATURE TYPE EQUATIONS; SCALAR CURVATURE; REGULARITY;
D O I：
10.1142/S0219199710004032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the existence of nodal solutions to perturbed quasilinear elliptic equations with critical Sobolev exponent on compact Riemannian manifolds. A nonexistence result is also given.
引用
收藏
页码：909 / 937
页数：29
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