Delaunay-type singular solutions for the fractional Yamabe problem

By Azahara DelaTorre, Manuel del Pino, María del Mar González, Jun-cheng Wei. 2015

63 citations recorded by the source corpus.

We construct Delaunay-type solutions for the fractional Yamabe problem with an isolated singularity $$\begin{aligned} (-\Delta )^\gamma w= c_{n, {\gamma }}w^{\frac{n+2\gamma }{n-2\gamma }}, w>0 \quad \text{ in } \quad \mathbb R^n \backslash \{0\}. \end{aligned}$$(-Δ)γw=cn,γwn+2γn-2γ,w>0inRn\{0}.We follow a variational approach, in which the key is the computation of the fractional Laplacian in polar coordinates.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2a026624085154183a268d00d73c78a13efea717

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In Applied Mathematics

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2. Jingang Xiong
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In Mathematical Physics

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2. Jingang Xiong

Citations in the corpus

• Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities (2019, methodology): “The proof of this existence result uses a variational method, inspired by the work DelaTorre- del Pino-González-Wei [15].”