68 citations · 94 across the 19 of their papers we have counts for
3 papers · 1 filter
Least Wasserstein distance between disjoint shapes with perimeter regularization
Michael Novack, Ihsan Topaloglu, Raghavendra Venkatraman
We prove the existence of global minimizers to the double minimization problem \[ \inf\Big\{ P(E) + λW_p(\mathcal{L}^n \lfloor \, E,\mathcal{L}^n \lfloor\, F) \colon |E \cap F| = 0…
On global existence and blowup of solutions of stochastic Keller-Segel type equation
Oleksandr Misiats, Oleksandr Stanzhytskyi, Ihsan Topaloglu
In this paper we consider a stochastic Keller-Segel type equation, perturbed with random noise. We establish that for special types of random pertubations (i.e. in a divergence for…
Riesz-type inequalities and overdetermined problems for triangles and quadrilaterals
Marco Bonacini, Riccardo Cristoferi, Ihsan Topaloglu
We consider Riesz-type nonlocal interaction energies over polygons. We prove the analog of the Riesz inequality in this discrete setting for triangles and quadrilaterals, and obtai…