16 citations · 39 across the 7 of their papers we have counts for
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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.AP2016
A variational principle for nonpotential perturbations of gradient flows of nonconvex energies
Stefano Melchionna
We investigate a variational approach to nonpotential perturbations of gradient flows of nonconvex energies in Hilbert spaces. We prove existence of solutions to elliptic-in-time r…