Calculus of Variations and Geometric Measure Theory

C. Bucur - M. Squassina

Approximate convexity principles and applications to PDEs in convex domains

created by squassina on 17 Feb 2019
modified on 02 Oct 2019



Inserted: 17 feb 2019
Last Updated: 2 oct 2019

Pages: 20
Year: 2019


We obtain approximate convexity principles for solutions to some classes of nonlinear elliptic partial differential equations in convex domains involving approximately concave nonlinearities. Furthermore, we provide some applications to some meaningful special cases.

Keywords: convexity, Elliptic PDEs, maximum principles, concavity