Karol Bołbotowski

Karol Bołbotowski

Mathematics of Optimal Transport and Optimal Design

Publications and Preprints

  1. Bołbotowski, K.: Bi-martingale optimal transport and its applications. Preprint arXiv:2510.27451, 2025. [paper]
  2. Bołbotowski, K., Bouchitté, G.: Sharp inequalities between Zolotarev and Wasserstein distances in \(\mathcal{P}_2(\mathbb{R}^d)\). Preprint arXiv:2511.00232, 2025. [paper]
  3. Fairclough, H., Bołbotowski, K., He, L., Liew, A., Gilbert, M.: Topology and geometry optimization of grid-shells incorporating design-dependent self-weight loading. Comput. Struct., 320 Article no. 107997, 2026. [paper]
  4. He, L., Fairclough, H., Gilbert, M., Liew, A., Bołbotowski, K.: Minimum material vault designs generated via adaptive layout optimization. Eng. Struct., 334 Article no, 120213, 2025. [paper]
  5. Bołbotowski, K., Czarnecki, S., Lewiński, T.: The Isotropic Material Design methods with the cost expressed by the \(L^p\)-norm. Preprint arXiv:2502.03161, 2025. [paper]
  6. Bołbotowski, K., Bouchitté, G.: Kantorovich-Rubinstein duality theory for the Hessian. Preprint arXiv:2412.00516, 2024. (to appear in Duke Math. J.) [paper]
  7. Bołbotowski, K.: Optimal design of plane elastic membranes using the convexified Föppl’s model. Appl. Math. Optim., 90 Article no. 23, 2024. [paper]
  8. Bołbotowski, K.: Elastic bodies and structures of the optimum form, material distribution and anisotropy. PhD Thesis, Warsaw University of Technology & University of Warsaw, 2022. [thesis]
  9. Bołbotowski, K., Lewiński, T.: Setting the Free Material Design problem through the methods of optimal mass distribution. Calc. Var. Partial Differ. Equ., 61 Article no. 76, 2022. [paper]
  10. Bołbotowski, K.: Optimal vault problem – form finding through 2D convex program. Comput. Math. Appl., 109:280–324, 2022. [paper]
  11. Bołbotowski, K., Bouchitté, G.: Optimal design versus maximal Monge-Kantorovich metrics. Arch. Ration. Mech. Anal., 243:1449–1524, 2022. [paper]
  12. Bołbotowski, K.: Higher order weighted Sobolev spaces on the real line for strongly degenerate weights. Application to variational problems in elasticity of beams. J. Math. Anal. Appl., 488 Article no. 124038, 2020. [paper]
  13. Bołbotowski, K., Lewiński, T., Sokół T.: Michell Structures within L-shaped domains. Computer Assisted Methods in Engineering and Science, 27:185–204, 2020. [paper]
  14. Bolbotowski, K., He, L., Gilbert, M.: Design of optimum grillages using layout optimization. Struct. Multidisc. Optim., 58:851–868, 2018. [paper]
  15. Lewiński, T., Rozvany, G.I.N., Sokół, T., Bołbotowski, K.: Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains revisited. Struct. Multidisc. Optim., 47:937–942, 2018. [paper]