On Minimizers of Interaction Functionals with Competing Attractive and Repulsive Potentials R Choksi, R Fetecau, I Topaloglu | 83 | 2013 |
Existence of Ground States of Nonlocal-Interaction Energies R Simione, D Slepčev, I Topaloglu arXiv preprint arXiv:1405.5146, 2014 | 62 | 2014 |
On the Global Minimizers of a Nonlocal Isoperimetric Problem in Two Dimensions P Sternberg, I Topaloglu Interfaces and Free Boundaries 13, 155-169, 2011 | 58 | 2011 |
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 | 56 | 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 | 49 | 2018 |
On a nonlocal isoperimetric problem on the two-sphere I Topaloglu Communications on Pure and Applied Analysis 12 (1), 597-620, 2013 | 28 | 2013 |
Aggregation-diffusion to constrained interaction: minimizers & gradient flows in the slow diffusion limit K Craig, I Topaloglu Annales de l'Institut Henri Poincaré C 37 (2), 239-279, 2020 | 25 | 2020 |
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 | 25 | 2019 |
Anisotropic liquid drop models R Choksi, R Neumayer, I Topaloglu Advances in Calculus of Variations 15 (1), 109-131, 2022 | 19 | 2022 |
Convergence of regularized nonlocal interaction energies K Craig, I Topaloglu SIAM Journal on Mathematical Analysis 48 (1), 34-60, 2016 | 19 | 2016 |
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), 2017 | 13 | 2017 |
On global existence and blowup of solutions of stochastic Keller–Segel type equation O Misiats, O Stanzhytskyi, I Topaloglu Nonlinear Differential Equations and Applications NoDEA 29 (1), 3, 2022 | 12 | 2022 |
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, 2021 | 9 | 2021 |
Swarming in domains with boundaries: approximation and regularization by nonlinear diffusion RC Fetecau, M Kovacic, I Topaloglu arXiv preprint arXiv:1711.03622, 2017 | 9 | 2017 |
Standing waves for a generalized Davey–Stewartson system: Revisited A Eden, IA Topaloglu Applied Mathematics Letters 21 (4), 342-347, 2008 | 8 | 2008 |
Droplet phase in a nonlocal isoperimetric problem under confinement S Alama, L Bronsard, R Choksi, I Topaloglu arXiv preprint arXiv:1609.03589, 2016 | 6 | 2016 |
Least Wasserstein distance between disjoint shapes with perimeter regularization M Novack, I Topaloglu, R Venkatraman Journal of Functional Analysis 284 (1), 109732, 2023 | 4 | 2023 |
Riesz-type inequalities and overdetermined problems for triangles and quadrilaterals M Bonacini, R Cristoferi, I Topaloglu The Journal of Geometric Analysis 32 (2), 48, 2022 | 3 | 2022 |
On minimizers of an anisotropic liquid drop model O Misiats, I Topaloglu ESAIM: Control, Optimisation and Calculus of Variations 27, S20, 2021 | 3 | 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 | 3 | 2016 |