Adams type inequalities and related partial differential equations in dimension four
主讲人: 杨云雁(中国人民大学)
活动时间: 从 2011-05-05 00:00 到 00:00
场地: Room 1328 at BICMR, Resource Plaza, Peking University
Title: Adams type inequalities and related partial differential equations in dimension four
Speaker: 杨云雁(中国人民大学)
Time: May 5, 2011, 2:00-4:00 pm
Venue: Room 1328 at BICMR, Resource Plaza, Peking University
Abstract: In this talk, we introduce an Adams type inequality in the whole four dimensional Euclidean space. We also consider a class of elliptic partial differential equations related to that inequality. Existence of weak solutions and multiplicity results are proved via the mountain-pass theorem and the Ekeland's variational principle.