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Annales de l'Institut Henri Poincaré C, Analyse non linéaire, ISSN 0294-1449, 11/2019
Journal Article
Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, ISSN 0294-1449, 11/2015, Volume 32, Issue 6, pp. 1283 - 1305
Journal Article
Clinical Endocrinology, ISSN 0300-0664, 08/2018, Volume 89, Issue 2, pp. 241 - 242
Journal Article
Communications on Pure and Applied Analysis, ISSN 1534-0392, 01/2013, Volume 12, Issue 1, pp. 597 - 620
Journal Article
Notices of the American Mathematical Society, ISSN 0002-9920, 12/2017, Volume 64, Issue 11, pp. 1275 - 1283
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 10/2017, Volume 58, Issue 10, p. 1
We prove that both the liquid drop model in R3 with an attractive background nucleus and the Thomas-Fermi-Dirac-von Weizsacker (TFDW) model attain their... 
Molecules | Attraction | Decay rate | Atoms & subatomic particles | Mathematical models
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 10/2017, Volume 58, Issue 10
We prove that both the liquid drop model in R3 with an attractive background nucleus and theThomas-Fermi-Dirac-von Weizsäcker (TFDW) model attain their... 
Attraction | Decay rate
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2016, Volume 48, Issue 1, pp. 34 - 60
Journal Article
Clinical Genetics, ISSN 0009-9163, 02/2019, Volume 95, Issue 2, pp. 320 - 324
Idiopathic hypogonadotropic hypogonadism (IHH) can be divided into two major forms, normosmic IHH and Kallmann syndrome (KS). Genetic mutations are responsible... 
PLXNA1 | oligogenic inheritance | idiopathic hypogonadotropic hypogonadism | Kallmann syndrome | MIGRATION | GENETICS | GENETICS & HEREDITY | DIGENIC MUTATIONS | OLFACTORY SYSTEM | CHALLENGES | Phenotypes | Leukocyte migration | Hedgehog protein | Etiology | Olfaction | Anosmia | Gonadotropin-releasing hormone | Fibroblast growth factor receptor 1 | Hypogonadism | Cell migration
Journal Article
Notices of the American Mathematical Society, ISSN 0002-9920, 12/2017, Volume 64, Issue 11, p. 1
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 5/2015, Volume 159, Issue 4, pp. 972 - 986
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 10/2017, Volume 58, Issue 10, p. 103503
We prove that both the liquid drop model in R 3 with an attractive background nucleus and the Thomas-Fermi-Dirac-von Weizsäcker (TFDW) model attain their... 
ATOMS | THOMAS-FERMI | MOND | PHYSICS, MATHEMATICAL
Journal Article
Clinical endocrinology, 05/2018
We appreciate the valuable comments on our article by Hanukoglu and Hanukoglu. With regard to cutaneous involvement in systemic pseudohypoaldosteronism... 
Journal Article
Indiana University Mathematics Journal, ISSN 0022-2518, 2018, Volume 67, Issue 1, pp. 375 - 395
We consider a class of nonlocal shape optimization problems for sets of fixed mass where the energy functional is given by an attractive/repulsive interaction... 
Global minimizers | Self-assembly | Pair-wise interactions (potentials) | Nonlocal shape optimization | OBSTACLE PROBLEM | EXISTENCE | VOLUME-FRACTION LIMIT | pair-wise interactions (potentials) | INTERACTION ENERGY | global | MODEL | LOCAL MINIMIZERS | MATHEMATICS | self-assembly | R-N | EQUILIBRIA | REGULARITY | minimizers | ISOPERIMETRIC PROBLEM
Journal Article
Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 11/2015, Volume 32, Issue 6, pp. 1283 - 1305
We consider a family of interaction functionals consisting of power-law potentials with attractive and repulsive parts and use the concentration compactness... 
Aggregation | Global minimizers | Interaction of attractive and repulsive potentials | Self-assembly | AGGREGATION EQUATIONS | EXISTENCE | MATHEMATICS, APPLIED | VOLUME-FRACTION LIMIT | STATIONARY STATES | BEHAVIOR | UNIQUENESS | MODELS | DYNAMICS | BLOW-UP
Journal Article
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, ISSN 1534-0392, 01/2020, Volume 19, Issue 1, pp. 175 - 202
We address small volume-fraction asymptotic properties of a non-local isoperimetric functional with a confinement term, derived as the sharp interface limit of... 
MATHEMATICS, APPLIED | NONEXISTENCE | PARTICLES | LIMIT | COPOLYMERS | uniformly charged liquid | MATHEMATICS | phase separation | confinement | MINIMALITY | self-assembly of diblock copolymers | Gamma-convergence | Nonlocal isoperimetric problem
Journal Article
ESAIM - Control, Optimisation and Calculus of Variations, ISSN 1292-8119, 01/2015, Volume 21, Issue 1, pp. 247 - 270
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 05/2019, Volume 21, Issue 3, p. 1850022
We consider a variant of Gamow’s liquid drop model, with a general repulsive Riesz kernel and a long-range attractive background potential with weight Z . The... 
background potential | droplet breakup | Liquid drop model | generalized minimizer | concentration-compactness method | nonlocal isoperimetric problem | MATHEMATICS, APPLIED | VOLUME-FRACTION LIMIT | NONEXISTENCE | MATHEMATICS | MINIMALITY | MOND | ISOPERIMETRIC PROBLEM
Journal Article
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