Ihsan Topaloglu
Cited by
Cited by
On Minimizers of Interaction Functionals with Competing Attractive and Repulsive Potentials
R Choksi, R Fetecau, I Topaloglu
On the Global Minimizers of a Nonlocal Isoperimetric Problem in Two Dimensions
P Sternberg, I Topaloglu
Interfaces and Free Boundaries 13, 155-169, 2011
Existence of Ground States of Nonlocal-Interaction Energies
R Simione, D Slepčev, I Topaloglu
arXiv preprint arXiv:1405.5146, 2014
An old problem resurfaces nonlocally: Gamow’s liquid drops inspire today’s research and applications
R Choksi, CB Muratov, I Topaloglu
Notices of the AMS 64 (11), 1275-1283, 2017
Nonlocal shape optimization via interactions of attractive and repulsive potentials
A Burchard, R Choksi, I Topaloglu
Indiana University Mathematics Journal 67 (1), 375-395, 2018
On a nonlocal isoperimetric problem on the two-sphere
I Topaloglu
Communications on Pure and Applied Analysis 12 (1), 597-620, 2013
Convergence of regularized nonlocal interaction energies
K Craig, I Topaloglu
SIAM Journal on Mathematical Analysis 48 (1), 34-60, 2016
Droplet breakup in the liquid drop model with background potential
S Alama, L Bronsard, R Choksi, I Topaloglu
Communications in Contemporary Mathematics 21 (03), 1850022, 2019
Ground-states for the liquid drop and TFDW models with long-range attraction
S Alama, L Bronsard, R Choksi, I Topaloglu
Journal of Mathematical Physics 58 (10), 103503, 2017
Anisotropic liquid drop models
R Choksi, R Neumayer, I Topaloglu
Advances in Calculus of Variations, 2020
Aggregation-diffusion to constrained interaction: minimizers & gradient flows in the slow diffusion limit
K Craig, I Topaloglu
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 37 (2), 239-279, 2020
Standing waves for a generalized Davey–Stewartson system: Revisited
A Eden, IA Topaloglu
Applied Mathematics Letters 21 (4), 342-347, 2008
Swarming in domains with boundaries: approximation and regularization by nonlinear diffusion
RC Fetecau, M Kovacic, I Topaloglu
arXiv preprint arXiv:1711.03622, 2017
A nonlocal isoperimetric problem with density perimeter
S Alama, L Bronsard, I Topaloglu, A Zuniga
Calculus of Variations and Partial Differential Equations 60 (1), 1-27, 2021
Sharp interface limit of an energy modelling nanoparticle-polymer blends
S Alama, L Bronsard, I Topaloglu
Interfaces and Free Boundaries 18 (2), 263-290, 2016
Axisymmetric critical points of a nonlocal isoperimetric problem on the two-sphere
R Choksi, I Topaloglu, G Tsogtgerel
ESAIM: Control, Optimisation and Calculus of Variations 21 (1), 247-270, 2015
Minimality of polytopes in a nonlocal anisotropic isoperimetric problem
M Bonacini, R Cristoferi, I Topaloglu
Nonlinear Analysis 205, 112223, 2021
On minimizers of an anisotropic liquid drop model
O Misiats, I Topaloglu
ESAIM: Control, Optimisation and Calculus of Variations 27, S20, 2021
Droplet phase in a nonlocal isoperimetric problem under confinement
S Alama, L Bronsard, R Choksi, I Topaloglu
arXiv preprint arXiv:1609.03589, 2016
Variational methods for nonlinear elliptic partial differential equations with nonlocal terms
IA Topaloglu
Bogazici University, M.Sc. Thesis, 2007
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