Singular Yamabe-type problems with an asymptotically flat metric.

Autor: Jiguang Bao, Yimei Li, Kun Wang
Předmět:
Zdroj: Revista Mathematica Iberoamericana; 2024, Vol. 40 Issue 4, p1351-1386, 36p
Abstrakt: In this paper, we study the asymptotic symmetry and local behavior of positive solutions at infinity to the equation outside a bounded set in Rn, where Rn/3, Laplacian with asymptotically flat Riemannian metric g. We prove that the solution, at1, either converges to a fundamental solution of the Laplace operator on the Euclidean space, or is asymptotically close to a Fowler-type solution defined on Rn/3. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index