Convexity of level sets and a two-point function

On a constant rank theorem for nonlinear elliptic PDEs

(2016) Gábor Székelyhidi et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Counterexample to the convexity of level sets of solutions to the mean curvature equation

(2014) Xu-Jia Wang   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

On convexity of level sets of p -harmonic functions

(2013) Ting Zhang et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Curvature estimates in dimensions 2 and 3 for the level sets of $p$-harmonic functions in convex rings

(2012) Jürgen Jost et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Principal curvature estimates for the level sets of harmonic functions and minimal graphs in $R^3$

(2011) Xi-Nan Ma et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Proof of the fundamental gap conjecture

(2011) Ben Andrews et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Gaussian curvature estimates for the convex level sets of p-harmonic functions

(2010) Xi-Nan Ma et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Principal curvature estimates for the convex level sets of semilinear elliptic equations

(2010) Sun-Yung Chang et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Quasiconcave solutions to elliptic problems in convex rings

(2009) Chiara Bianchini et al.   INDIANA UNIVERSITY MATHEMATICS JOURNAL

A microscopic convexity principle for nonlinear partial differential equations

(2009) Baojun Bian et al.   INVENTIONES MATHEMATICAE