Multiplicity of Solutions for an Elliptic Problem with Critical Sobolev-Hardy Exponents and Concave-Convex Nonlinearities
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-05
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We study the existence of multiple solutions for the following elliptic problem: - Δ p u - μ | u | p - 2 u / | x | p = | u | p * ( t ) - 2 / | x | t u + λ | u | q - 2 / | x | s u , u ∈ W 0 1 , p ( Ω ) .
We prove that if 1 ≤ q < p < N , then there is a μ 0 , such that for any μ ∈ 0 , μ 0 , the above mentioned problem possesses infinitely many weak solutions.
Our result generalizes a similar result (Azorero and Alonso, 1991).
American Psychological Association (APA)
Li, Juan& Tong, Yuxia. 2014. Multiplicity of Solutions for an Elliptic Problem with Critical Sobolev-Hardy Exponents and Concave-Convex Nonlinearities. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1040616
Modern Language Association (MLA)
Li, Juan& Tong, Yuxia. Multiplicity of Solutions for an Elliptic Problem with Critical Sobolev-Hardy Exponents and Concave-Convex Nonlinearities. Journal of Function Spaces No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1040616
American Medical Association (AMA)
Li, Juan& Tong, Yuxia. Multiplicity of Solutions for an Elliptic Problem with Critical Sobolev-Hardy Exponents and Concave-Convex Nonlinearities. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1040616
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040616