Brunn–Minkowski inequalities for variational functionals and related problems

The Brunn-Minkowski inequality

Richard J. Gardner · Bulletin of the American Mathematical Society · 2002 · 915 citations · Full text

On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation

H. J. Brascamp, Élliott H. Lieb · Journal of Functional Analysis · 1976 · 654 citations

Riemann-hilbert Problem, Variational Analysis, Prékopa-leindler Theorems +5

Convexity properties of solutions to some classical variational problems

Luis Caffarelli, Joel Spruck · Communications in Partial Differential Equations · 1982 · 198 citations

Bk 780-5485 Notes, Variational Analysis, Nsf Grants Mcs-8100802 +5

A minkowski problem for electrostatic capacity

David Jerison · Acta Mathematica · 1996 · 131 citations · Full text

Monge-ampere Equation, Minkowski Problem, Riemann-hilbert Problem +1

Convex solutions of certain elliptic equations have constant rank hessians

Nicholas J. Korevaar, John L. Lewis · Archive for Rational Mechanics and Analysis · 1987 · 118 citations

Monge-ampere Equation, Elliptic Equation, Elliptic Function +3