2 papers
math.AP2025
A note on relations between convexity and concavity of thermodynamic functions
Mária LukáÄová-Medvid'ová, Ferdinand Thein, Gerald Warnecke +1
The paper is concerned with proving the equivalence of convexity or concavity properties of thermodynamic functions, such as energy and entropy, depending on different sets of vari…
math.AP2024
Quadratic Hessian equation
Yu Yuan
We survey quadratic Hessian equations: definition, background, rigidity of entire solutions, regularity of viscosity solutions, a priori Hessian estimates, and open problems.