Large mass minimizers for isoperimetric problems with integrable nonlocal potentials
M Pegon - Nonlinear Analysis, 2021 - Elsevier
This paper is concerned with volume-constrained minimization problems derived from
Gamow's liquid drop model for the atomic nucleus, involving the competition of a perimeter …
Gamow's liquid drop model for the atomic nucleus, involving the competition of a perimeter …
Minimal energy for geometrically nonlinear elastic inclusions in two dimensions
I Akramov, H Knüpfer, M Kružík… - Proceedings of the Royal …, 2024 - cambridge.org
We are concerned with a variant of the isoperimetric problem, which in our setting arises in a
geometrically nonlinear two-well problem in elasticity. More precisely, we investigate the …
geometrically nonlinear two-well problem in elasticity. More precisely, we investigate the …
Asymptotic shape of isolated magnetic domains
H Knüpfer, D Stantejsky - Proceedings of the Royal …, 2022 - royalsocietypublishing.org
We investigate the energy of an isolated magnetized domain Ω⊂ R n for n= 2, 3. In non-
dimensionalized variables, the energy given by E (Ω)=∫ R n|∇ χ Ω| dx+∫ R n|∇ h Ω| 2 dx …
dimensionalized variables, the energy given by E (Ω)=∫ R n|∇ χ Ω| dx+∫ R n|∇ h Ω| 2 dx …
Uniform -Regularity for Almost-Minimizers of Some Nonlocal Perturbations of the Perimeter
In this paper, we establish a C 1, α-regularity theorem for almost-minimizers of the functional
F ε, γ= P-γ P ε, where γ∈(0, 1) and P ε is a nonlocal energy converging to the perimeter as ε …
F ε, γ= P-γ P ε, where γ∈(0, 1) and P ε is a nonlocal energy converging to the perimeter as ε …
Large mass rigidity for a liquid drop model in D with kernels of finite moments
B Merlet, M Pegon - Journal de l'Ecole polytechnique—Mathématiques, 2022 - numdam.org
Motivated by Gamow's liquid drop model in the large mass regime, we consider an
isoperimetric problem in which the standard perimeter P (E) is replaced by P (E)-γPε (E) …
isoperimetric problem in which the standard perimeter P (E) is replaced by P (E)-γPε (E) …
A note on some non-local variational problems
D Carazzato - Rendiconti Lincei, 2023 - ems.press
We study two non-local variational problems that are characterized by the presence of a
Riesz-like repulsive term that competes with an attractive term. The first functional is defined …
Riesz-like repulsive term that competes with an attractive term. The first functional is defined …
Delaunay-like compact equilibria in the liquid drop model
M del Pino, M Musso, A Zúñiga - arXiv preprint arXiv:2409.14892, 2024 - arxiv.org
The liquid drop model was introduced by Gamow in 1928 and Bohr-Wheeler in 1938 to
model atomic nuclei. The model describes the competition between the surface tension …
model atomic nuclei. The model describes the competition between the surface tension …
A note on some non-local variational problems
D Carazzato - arXiv preprint arXiv:2107.11848, 2021 - arxiv.org
We study two non-local variational problems that are characterized by the presence of a
Riesz-like repulsive term that competes with an attractive term. The first functional is defined …
Riesz-like repulsive term that competes with an attractive term. The first functional is defined …
[PDF][PDF] Small mass uniqueness in the anisotropic liquid drop model and the critical mass problem
E Indrei - arXiv preprint arXiv:2311.16573, 2023 - arxiv.org
arXiv:2311.16573v1 [math.AP] 28 Nov 2023 Page 1 arXiv:2311.16573v1 [math.AP] 28 Nov
2023 SMALL MASS UNIQUENESS IN THE ANISOTROPIC LIQUID DROP MODEL AND THE …
2023 SMALL MASS UNIQUENESS IN THE ANISOTROPIC LIQUID DROP MODEL AND THE …
[引用][C] Progetto GNAMPA 2023 Problemi variazionali per funzionali e operatori non-locali
R SCHIATTARELLA