Energy Estimates on Existence of Extremals for Trudinger–Moser Inequalities
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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
On the existence of extremals for the weighted Yamabe problem on compact manifolds
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DOI: 10.1016/j.difgeo.2019.101585
Abstract: Abstract In [3] , J.S. Case considered a Yamabe type problem in the setting of smooth measure space for a Riemannian manifold and a parameter m, which generalize the original Yamabe problem when m =… read more here.
Keywords: existence extremals; weighted yamabe; yamabe problem; extremals weighted ... See more keywords