On the Hopf Lemma

A Hopf lemma for higher order differential inequalities and its applications

Article history: Received 14 September 2012 Available online 5 August 2013 We establish a sequential Hopf lemma for higher order differential inequalities in one variable and give some applications of this result. © 2013 Elsevier Inc. All rights reserved.

. A P ] 2 8 Ja n 20 05 ON HOPF ’ S LEMMA AND THE STRONG MAXIMUM PRINCIPLE

In this paper we consider Hopf’s Lemma and the Strong Maximum Principle for supersolutions to

2 9 Ja n 20 06 A geometric problem and the Hopf Lemma

A classical result of A.D. Alexandrov states that a connected compact smooth n−dimensional manifold without boundary, embedded in Rn+1, and such that its mean curvature is constant, is a sphere. Here we study the problem of symmetry of M in a hyperplane Xn+1 =constant in case M satisfies: for any two points (X ,Xn+1), (X ′, X̂n+1) on M , with Xn+1 > X̂n+1, the mean curvature at the first is not g...

6 A geometric problem and the Hopf Lemma . II YanYan

A classical result of A.D. Alexandrov states that a connected compact smooth n−dimensional manifold without boundary, embedded in Rn+1, and such that its mean curvature is constant, is a sphere. Here we study the problem of symmetry of M in a hyperplane Xn+1 =constant in case M satisfies: for any two points (X ,Xn+1), (X ′, X̂n+1) on M , with Xn+1 > X̂n+1, the mean curvature at the first is not g...

On the Coderivations of Some Hopf Algebras