Poincar,-Sobolev equations in the hyperbolic space

被引：40

作者：

Bhakta, Mousomi ^{[1
]}

Sandeep, K. ^{[1
]}

机构：

[1] TIFR Ctr Applicable Math, Bangalore 560065, Karnataka, India

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2012年 / 44卷 / 1-2期

关键词：

ELLIPTIC-EQUATIONS; SYMMETRY; EXISTENCE; EXPONENTS;

D O I：

10.1007/s00526-011-0433-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the a priori estimates, existence/nonexistence of radial sign changing solution, and the Palais- Smale characterisation of the problem-Delta(BN)u-lambda u = |u|(p-1)u, u is an element of H1(B-N) in the hyperbolic space B-N where 1 < p <= N+ 2/N-2. We will also prove the existence of sign changing solution to the Hardy- Sobolev- Mazya equation and the critical Grushin problem.

引用

页码：247 / 269

页数：23

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