IJPAM: Volume 44, No. 4 (2008)
MULTIPLICITY OF SOLUTIONS FOR QUASILINEAR
BREZIS-NIRENBERG TYPE PROBLEMS INVOLVING
SINGULAR WEIGHTS
BREZIS-NIRENBERG TYPE PROBLEMS INVOLVING
SINGULAR WEIGHTS
Xiaoming He
, Wenming Zou
Department of Mathematical Sciences
Tsinghua University
Beijing, 100084, P.R. CHINA
e-mail: xmhe923@126.com
e-mail: wzou@math.tsinghua.edu.cn
, Wenming Zou
Department of Mathematical Sciences
Tsinghua University
Beijing, 100084, P.R. CHINA
e-mail: xmhe923@126.com
e-mail: wzou@math.tsinghua.edu.cn
Abstract.In this paper we investigate the existence and multiplicity of solutions for quasilinear Brezis-Nirenberg type problem with critical Sobolev exponents and singular coefficients by using the cohomological index theory of Fadell and Rabinawitz [#!9!#].
Received: February 1, 2008
AMS Subject Classification: 35J60, 35J25
Key Words and Phrases: Brezis-Nirenberg problem, critical Sobolev exponent, existence and multiplicity, cohomological index
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 44
Issue: 4
