Abstract
We study the existence of a positive solution of the following quasilinear elliptic equations in RN:−Δpu=g(u),u∈W1,p(RN), where N≥2, 1<p≤N and Δpu=div(|∇u|p−2∇u) is the p-Laplacian operator. We assume that g(s) satisfies Berestycki-Lions type condition. We give a new concentration compactness type result for a Palais-Smale sequence with an additional property related to Pohozaev identity. Keys of our proof are Tartar's inequality and Brezis-Lieb Lemma.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
