Energy Estimates on Existence of Extremals for Trudinger–Moser Inequalities
Sign Up to like & getrecommendations! Published in 2020 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-020-9528-5
Abstract: Let Ω be a smooth bounded domain in ℝ 2 , W 0 1,2 (Ω) be the standard Sobolev space. By the method of energy estimate developed by Malchiodi-Martinazzi ( J. Eur. Math. Soc. ,… read more here.
Keywords: estimates existence; energy; extremals trudinger; existence extremals ... See more keywords
A priori estimates and existence of solutions to the prescribed centroaffine curvature problem
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2017.08.024
Abstract: Abstract In this paper we study the prescribed centroaffine curvature problem in the Euclidean space R n + 1 . This problem is equivalent to solving a Monge–Ampere equation on the unit sphere. It corresponds… read more here.
Keywords: priori estimates; estimates existence; centroaffine curvature; prescribed centroaffine ... See more keywords