Asymptotic Expansions at Infinity for Solutions of Some Nonlinear Geometric PDE in Exterior Domains
收藏DataCite Commons2024-11-11 更新2024-07-13 收录
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https://curate.nd.edu/articles/dataset/Asymptotic_Expansions_at_Infinity_for_Solutions_of_Some_Nonlinear_Geometric_PDE_in_Exterior_Domains/25537246/1
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资源简介：
We study asymptotic behaviors of solutions of a family of fully nonlinear elliptic equations in R<sup>n</sup> \<em>B</em><sub>1</sub> and establish expansions at infinity up to arbitrary order. We then prove the existence of solutions with prescribed asymptotic behavior at infinity and an arbitrarily high order of approximation. We also prove a similar existence result for solutions of the minimal surface equation in R<sup>n</sup> \<em>B</em><sub>1</sub> whose gradient vanishes at infinity.
提供机构：
University of Notre Dame
创建时间：
2024-04-25
