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math.AP2015
Isoperimetric functional inequalities via the maximum principle: the exterior differential systems approach
Paata Ivanisvili, Alexander Volberg
The goal of this note is to give the unified approach to the solutions of a class of isoperimetric problems by relating them to the exterior differential systems studied by R.~Brya…
math.AP2015★ 2 cited
Bellman function for extremal problems in II: evolution
Paata Ivanisvili, Dmitriy M. Stolyarov, Vasily I. Vasyunin +1
In the paper "Bellman function for extremal problems in ", the authors built the Bellman function for integral functionals on the space. The present pa…
math.AP2015★ 9 cited
Bellman partial differential equation and the hill property for classical isoperimetric problems
Paata Ivanisvili, Alexander Volberg
The goal of this note is to have a systematic approach to generating isoperimetric inequalities from two concrete type of PDEs. We call these PDEs Bellman type because a totally an…