Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	朱梅俊教授，Department of Mathematics, University of Oklahoma，USA
Inviter:
Title:	Divergent operator with degeneracy and related sharp inequalities
Time & Venue:	2019.7.1 16:00-17:00 N202
Abstract:	We study some nonlinear equations on the half space and obtain the classification results for positive solutions. The differential operator is a divergent operator with degeneracy on the boundary, which is related to the extension operators. The classification results enable us to establish the sharp form for a generalized Gagliardo-Nirenberg inequality, as well as the sharp form for a weighted Sobolev inequalities. Early results on the sharp weighted Sobolev inequalities were obtained by Jerison and Lee, and by Beckner. Our result solves an open question for more than twenty years. This is a joint work with J. Dou, L. Sun and L. Wang.