Strauss’s Radial Compactness and Nonlinear Elliptic Equation Involving a Variable Critical Exponent
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-17
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study existence of a nontrivial solution of -Δpu(x)+u(x)p-1=u(x)q(x)-1, u(x)≥0, x∈RN, u∈Wrad1,p(RN), under some conditions on q(x), especially, lim inf|x|→∞ q(x)=p.
Concerning this problem, we firstly consider compactness and noncompactness for the embedding from Wrad1,p(RN) to Lq(x)(RN).
We point out that the decaying speed of q(x) at infinity plays an essential role on the compactness.
Secondly, by applying the compactness result, we show the existence of a nontrivial solution of the elliptic equation.
American Psychological Association (APA)
Hashizume, Masato& Sano, Megumi. 2018. Strauss’s Radial Compactness and Nonlinear Elliptic Equation Involving a Variable Critical Exponent. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1186443
Modern Language Association (MLA)
Hashizume, Masato& Sano, Megumi. Strauss’s Radial Compactness and Nonlinear Elliptic Equation Involving a Variable Critical Exponent. Journal of Function Spaces No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1186443
American Medical Association (AMA)
Hashizume, Masato& Sano, Megumi. Strauss’s Radial Compactness and Nonlinear Elliptic Equation Involving a Variable Critical Exponent. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1186443
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186443