On a Fractional Nirenberg Problem, Part II: Existence of Solutions
By Tianling Jin, Yanyan Li, Jingang Xiong. 2013
83 citations recorded by the source corpus.
This paper is a continuation of our earlier work “[T. Jin, Y.Y. Li and J. Xiong, On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions, to appear in J. Eur. Math. Soc.]”, where compactness results were given on a fractional Nirenberg problem. We prove two existence results stated there. We also obtain a fractional Aubin inequality.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/6365230821d39eb528a144fb7b43816d85e41c63
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In Applied Mathematics
- Tianling Jin
- Jingang Xiong
- Wenxiong CHEN *
- Serena Dipierro
- Enrico Valdinoci
- Yan Li
- Yanyan Li
- María Medina
In Computational Theory and Mathematics
- Wenxiong CHEN *
- Serena Dipierro
- Jingang Xiong
- Tianling Jin
- Yan Li
- Enrico Valdinoci
- María Medina
- Yanyan Li
Citations in the corpus
- The Nirenberg problem and its generalizations: a unified approach (2014, background): “[51,52], Chen et al.”
- Direct Method of Moving Spheres on Fractional Order Equations (2015, background): “enberg problem. The studies of such a problem leads to a very active research area in the last decade. The pioneer work in the direction of prescribing Qα curvature problem can be found in [JLX1] and [JLX2]. Our main goal in this section is to extend a non-existence result in [ChLi] to the fractiona”
- Fractional elliptic problems with critical growth in the whole of $\R^n$ (2015, background): “Namely, the power-like nonlinearity up is inherited by Riemannian geometry and the critical exponent p = n+2s n−2s comes from conformal invariance in the classical case (see also the recent fractional contributions in [34, 35] in which the same term is taken into account).”