3 papers
math.AP2026
Comparison results for the -torsional rigidity on convex domains
Cristian Enache, Mihai Mihailescu, Denisa Stancu-Dumitru
For each open, bounded and convex domain , and each real number we denote by the \emph{-torsion function} on , i.e. the s…
math.AP2026
Minimum principles and a priori estimates for 2-Hessian problems
Cristian Enache
In this paper we investigate a class of -Hessian equations and establish a minimum principle for a -function in the sense of L.E. Payne (see R. Sperb \cite{Sp81}). The analys…
math.AP2026
Some minimum principles for a class of nonlinear elliptic problems in divergence form
Cristian Enache, Rafael Lopez
In this paper we study a general class of nonlinear elliptic problems in divergence form. First, we prove that the solutions to these problems satisfy a convexity property when the…