INFINITELY MANY SMALL SOLUTIONS FOR THE p&q-LAPLACIAN PROBLEM WITH CRITICAL SOBOLEV AND HARDY EXPONENTS
- Resource Type
- Article
- Authors
- Sihua Liang; Jihui Zhang; Fan Fan
- Source
- Journal of Applied Mathematics and Informatics, 28(5), pp.1143-1156 Sep, 2010
- Subject
- 수학
- Language
- English
- ISSN
- 2234-8417
1598-5857
In this paper, we study the following p&q-Laplacian problem with critical Sobolev and Hardy exponents [수식]where Ω⊂Rⁿ is a bounded domain and △ru = div(▽IuIr-2▽u) is the r-Laplacian of u. By using the variational method and concentration-compactness principle, we obtain the existence of in¯nitely many small solutions for above problem which are the complement of previously known results.