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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
中文翻译:
超临界的极端功能 -Sobolev型的Hessian不等式
更新日期:2021-02-28
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 -Hessian operator acting on , the space of radially symmetric -admissible functions on the unit ball . We also prove both the existence of admissible extremal functions for the associated variational problem and the solvability of a related -Hessian equation with supercritical growth.
中文翻译:
超临界的极端功能 -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 -黑森州运营商采取行动 ,径向对称的空间 -单位球上允许的功能 。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-Hessian方程具有超临界增长。