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Asymptotics for Fully Nonlinear Equations with Isolated Singularities

  • Wei Zhang (Universität Hannover, Germany)
A3 02 (Seminar room)

Abstract

We study the asymptotic behavior of solutions to subcritical $\sigma_{k}$ Yamabe equation in a punctured ball. We prove that an admissible solution to this equation with a non-removable isolated singular point is asymptotic to a radial solution. Then we are able to obtain higher order expansion of solutions using analysis of the linearized operators. These results generalize earlier pioneering work of Caffarelli, Gidas and Spruck.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail

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