15 citations · 21 across the 3 of their papers we have counts for
3 papers
math.AP2016
A variational approach to symmetry, monotonicity, and comparison for doubly-nonlinear equations
Stefano Melchionna
We advance a variational method to prove qualitative properties such as symmetries, monotonicity, upper and lower bounds, sign properties, and comparison principles for a large cla…
math.AP2016★ 6 cited
Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth
S. Melchionna, E. Rocca
We discuss the sharp interface limit of a diffuse interface model for a coupled Cahn-Hilliard--Darcy system that models tumor growth when a certain parameter , relat…
math.AP2015★ 15 cited
On a nonlocal Cahn-Hilliard equation with a reaction term
Stefano Melchionna, Elisabetta Rocca
We prove existence, uniqueness, regularity and separation properties for a nonlocal Cahn-Hilliard equation with a reaction term. We deal here with the case of logarithmic potential…