当前位置: X-MOL 学术Nonlinear Anal. Real World Appl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Extremal functions for a supercritical k-Hessian inequality of Sobolev-type
Nonlinear Analysis: Real World Applications ( IF 2 ) Pub Date : 2021-02-27 , DOI: 10.1016/j.nonrwa.2021.103314
José Francisco de Oliveira , Pedro Ubilla

Our main purpose in this paper is to investigate a supercritical Sobolev-type inequality for the k-Hessian operator acting on Φ0,radk(B), the space of radially symmetric k-admissible functions on the unit ball BRN. We also prove both the existence of admissible extremal functions for the associated variational problem and the solvability of a related k-Hessian equation with supercritical growth.



中文翻译:

超临界的极端功能 ķ-Sobolev型的Hessian不等式

本文的主要目的是研究超临界Sobolev型不等式 ķ-黑森州运营商采取行动 Φ0拉德ķ,径向对称的空间 ķ-单位球上允许的功能 [Rñ。我们还证明了相关变分问题的容许极值函数的存在性以及相关函数的可解性ķ-Hessian方程具有超临界增长。

更新日期:2021-02-28
down
wechat
bug