The Nirenberg Problem on Half Spheres: A Bubbling-off Analysis

نویسندگان

چکیده

Abstract In this paper, we perform a refined blow-up analysis of finite energy approximated solutions to Nirenberg-type problem on half spheres. The latter consists prescribing, under minimal boundary conditions, the scalar curvature be given function. particular, give precise location points and rates. Such an shows that picture Nirenberg spheres is far more complicated in case closed Indeed, besides combination interior blow ups, there are nonsimple for subcritical having zero or nonzero weak limit. formation such blowups governed by vortex problem, unveiling unexpected connection with Euler equations fluid dynamic mean fields type mathematical physics.

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2022

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnac257