Abstract
We reprove the existence of extremals for the critical Trudinger-Moser inequality on a smooth bounded domain of R2 via the method of energy estimate, which was recently developed by Malchiodi-Martinazzi [11], Mancini-Martinazzi [12] and Mancini-Thizy [13]. For this purpose, unlike [12,13], it suffices to calculate local energy of maximizers for subcritical Trudinger-Moser functionals near the blow-up point.
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.
