Isoperimetric Functional Inequalities via the Maximum Principle: The Exterior Differential Systems Approach
Our goal in this note is to give a unified approach to the solutions of a class of isoperimetric problems by relating them to the exterior differential systems studied by R. Bryant and P. Griffiths.
KeywordsLog-Sobolev inequality Poincaré inequality Bobkov’s inequality Gaussian isoperimetry semigroups maximum principle Monge–Ampère equations exterior differential systems backward heat equation (B) theorem
Mathematics Subject Classification (2010)Primary 42B20 Secondary 42B35 47A30
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