D. A. La Manna:
Local minimality of the ball for the Gaussian perimeter
Advances in Calculus of Variations 2017

D. A. La Manna:
A short proof of a nonexistence result
(Preprint) 2018

D. A. La Manna:
An isoperimetric problem with a Coulombic repulsion and attractive term
ESAIM:  Control, Optimisation and Calculus of Variations 2018

V. Julin, D. A. La Manna:
Short time existence of the classical solution to the fractional mean curvature flow
Annales de l'Institut Henri Poincaré (Accepted Paper) 2020

D. A. La Manna, C. Leone, R. Schiattarella:
On the regularity of very weak solutions for linear elliptic equations in divergence form
Nonlinear Differential Equations and Applications (Accepted Paper) 2020

S. Guarino Lo Bianco, D. A. La Manna, B. Velichkov:
A two-phase problem with Robin conditions on the free boundary
Journal de l'École polytechnique - Mathématiques 2020

N. Gavitone, D. A. La Manna, G. Paoli, L. Trani:
A quantitative Weinstock inequality for convex sets
Calc. Var. Vol. 59, N. 2, 2020

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
Gamma-convergence of fractional Gaussian perimeter
Advances in Calculus of Variations p. 30, 2021

A. De Rosa, D. A. La Manna:
A nonlocal approximation of the Gaussian perimeter: Gamma convergence  and Isoperimetric properties
Comm. Pure Appl. Anal. 2021

S. Cito, D. A. La Manna:
A Quantitative Reverse Faber-Krahn Inequality for the First Robin Eigenvalue with Negative Boundary Parameter
ESAIM: Control, Optimisation and Calculus of Variations 2021

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
Asymptotics of the $s$-fractional Gaussian perimeter as $s\to 0^+$
Fractional Calculus and Applied Analysis p. 13, 2022

N. Fusco, D. A. La Manna:
Some weighted isoperimetric inequalities in quantitative form
Journal of Functional Analysis Vol. 285, N. 2, 2023

N. Fusco, D. A. La Manna:
A remark on a conjecture on the symmetric Gaussian Problem
Proceedings of the Edinburgh Mathematical Society (preprint) http://arxiv.org/abs/2306.04522 Vol. 67, N. 2, p. 643-661., 2023

V. Julin, D. A. La Manna:
Convergence of the volume preserving fractional mean curvature flow for  convex sets
(preprint) http://arxiv.org/abs/2307.03912v3 2023

P. Baldi, V. Julin, D. A. La Manna:
Liquid drop with capillarity and rotating traveling waves
(preprint) http://arxiv.org/abs/2408.02333 2024

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
Stability of the Gaussian Faber-Krahn inequality
Annali di Matematica Pura e Applicata Vol. 203, p. 21852198, 2024

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
A quantitative dimension free isoperimetric inequality for the Fractional Gaussian Perimeter
Communications in Analysis and Geometry Vol. 32, N. 2, p. 27, 2024

A. Kubin, D. A. La Manna:
Characterization of sets of finite local and non local perimeter via non local heat equation
(Submitted Paper) 2024

V. Julin, D. A. La Manna:
A priori estimates for the motion of charged liquid drop: A dynamic  approach via free boundary Euler equations
Journal of Mathematical Fluid Mechanics Vol. 26, p. Article number 48, 2024

S. Guarino Lo Bianco, D. A. La Manna, B. Velichkov:
Free boundary cluster with Robin condition on the transmission interface
Calc. Var. Vol. 64, N. 4, 2025

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
Local Regularity of very weak $s$-harmonic functions via fractional difference quotients
Rendiconti Lincei. Matematica e Applicazioni p. 31, 2025

P. Baldi, Giuseppe La Scala, D. A. La Manna:
Bifurcation from multiple eigenvalues of rotating traveling waves on a
  capillary liquid drop
(preprint) http://arxiv.org/abs/2504.01555 2025