Ihsan Topaloglu
TitleCited byYear
On the Global Minimizers of a Nonlocal Isoperimetric Problem in Two Dimensions
P Sternberg, I Topaloglu
Interfaces and Free Boundaries 13, 155-169, 2011
502011
Existence of Ground States of Nonlocal-Interaction Energies
R Simione, D Slepčev, I Topaloglu
arXiv preprint arXiv:1405.5146, 2014
412014
On Minimizers of Interaction Functionals with Competing Attractive and Repulsive Potentials
R Choksi, R Fetecau, I Topaloglu
392013
On a nonlocal isoperimetric problem on the two-sphere
I Topaloglu
Communications on Pure and Applied Analysis 12 (1), 597-620, 2013
232013
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
152018
Convergence of regularized nonlocal interaction energies
K Craig, I Topaloglu
SIAM Journal on Mathematical Analysis 48 (1), 34-60, 2016
152016
An old problem resurfaces nonlocally: Gamow’s liquid drops inspire today’s research and applications
R Choksi, CB Muratov, IA Topaloglu
Notices of the AMS 64 (11), 2017
132017
Standing waves for a generalized Davey–Stewartson system: Revisited
A Eden, IA Topaloglu
Applied Mathematics Letters 21 (4), 342-347, 2008
62008
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
32017
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
32015
Swarming in domains with boundaries: approximation and regularization by nonlinear diffusion
RC Fetecau, M Kovacic, I Topaloglu
arXiv preprint arXiv:1711.03622, 2017
22017
Droplet phase in a nonlocal isoperimetric problem under confinement
S Alama, L Bronsard, R Choksi, I Topaloglu
arXiv preprint arXiv:1609.03589, 2016
22016
Variational methods for nonlinear elliptic partial differential equations with nonlocal terms
IA Topaloglu
Bogazici University, M.Sc. Thesis, 2007
22007
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
12019
Anisotropic liquid drop models
R Choksi, R Neumayer, I Topaloglu
arXiv preprint arXiv:1810.08304, 2018
12018
Aggregation-Diffusion to Constrained Interaction: Minimizers & Gradient Flows in the Slow Diffusion Limit
K Craig, I Topaloglu
arXiv preprint arXiv:1806.07415, 2018
12018
Sharp interface limit of an energy modelling nanoparticle-polymer blends
S Alama, L Bronsard, I Topaloglu
arXiv preprint arXiv:1508.01206, 2015
12015
Singular perturbation of an elastic energy with a singular weight
O Misiats, I Topaloglu, D Vasiliu
arXiv preprint arXiv:1901.09940, 2019
2019
An isoperimetric problem with long-range nonlocal interactions
I Topaloglu
Indiana University, Ph.D. Thesis, 2012
2012
Green’s Functions, Fundamental Solutions and Regularity Theory for the Classical Solutions of Poisson’s Equation
IA Topaloglu
Bogazici University, B.Sc. Thesis, 2005
2005
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Articles 1–20