Publications

Wojciech Górny

Number of publications: 27

2025

• Manuel Friedrich, Wojciech Górny , Ulisse Stefanelli, A characterization of ℓ1 double bubbles with general interface interaction, Advances in Calculus of Variations, 18 (3) 2025, p. 609-637. See in PBN
• Wojciech Górny , José M. Mazón, A duality-based approach to gradient flows of linear growth functionals, Publicacions Matematiques, 69 (2) 2025, p. 341-365. See in PBN
• Wojciech Górny , J. M. Mazón, J. Toledo, Evolution problems with perturbed 1-Laplacian type operators on random walk spaces, MATHEMATISCHE ANNALEN, 392 (3) 2025, p. 3895-3957. See in PBN
• Wojciech Górny , Strongly anisotropic Anzellotti pairings and their applications to the anisotropic p-Laplacian, Journal of Mathematical Analysis and Applications, 552 (1) 2025, p. 129734: 1-47. See in PBN
• Manuel Friedrich, Wojciech Górny , Ulisse Stefanelli, The ℓ1 Double-Bubble Problem in Three Dimensions, Journal of Geometric Analysis, 35 (10) 2025, p. 323: 1-17. See in PBN
• Wojciech Górny , Weak solutions to gradient flows of functionals with inhomogeneous growth in metric spaces, Journal of Evolution Equations, 25 (2) 2025, p. 44: 1-27. See in PBN

2024

• Wojciech Górny , José M. Mazón, Functions of Least Gradient, 2024. See in PBN
• Wojciech Górny , Least gradient problem with Dirichlet condition imposed on a part of the boundary, Calculus of Variations and Partial Differential Equations, 63 (2) 2024, p. 58: 1-22. See in PBN
• Wojciech Górny , J. M. Mazón, The Anzellotti–Gauss–Green formula and least gradient functions in metric measure spaces, Communications in Contemporary Mathematics, 26 (6) 2024, p. 1-41. See in PBN
• Manuel Friedrich, Wojciech Górny , Ulisse Stefanelli, The double-bubble problem on the square lattice, Interfaces and Free Boundaries, 26 (1) 2024, p. 79-134. See in PBN

2023

• Wojciech Górny , Applications of optimal transport methods in the least gradient problem, Annali della Scuola normale superiore di Pisa - Classe di scienze, 24 (3) 2023, p. 1817-1851. See in PBN
• Samer Dweik, Wojciech Górny , Optimal Transport Approach to Sobolev Regularity of Solutions to the Weighted Least Gradient Problem, SIAM Journal on Mathematical Analysis, 55 (3) 2023, p. 1916-1948. See in PBN
• Wojciech Górny , The trace space of anisotropic least gradient functions depends on the anisotropy, MATHEMATISCHE ANNALEN, 387 (3-4) 2023, p. 1343-1365. See in PBN
• Wojciech Górny , José M. Mazón, Weak solutions to gradient flows in metric measure spaces, PAMM Proceedings in Applied Mathematics and Mechanics, 22 (1) 2023, p. e202200099: 1-6. See in PBN
• Wojciech Górny , José Mazón, Weak solutions to the total variation flow in metric measure spaces, XXVI Congress of Differential Equations and Applications will be held in conjunction with the XVII Congress of Applied Mathematics, Zaragoza, Spain, 18 July 2022 - 22 July 2022. See in PBN

2022

• Wojciech Górny , Bourgain–Brezis–Mironescu Approach in Metric Spaces with Euclidean Tangents, Journal of Geometric Analysis, 32 (4) 2022, p. 128: 1-22. See in PBN
• Samer Dweik, Wojciech Górny , Least gradient problem on annuli, Analysis and PDE, 15 (3) 2022, p. 699-725. See in PBN
• Wojciech Górny , Local and nonlocal 1-Laplacian in Carnot groups, Annales Fennici Mathematici, 47 (1) 2022, p. 427-456. See in PBN
• Wojciech Górny , José M. Mazón, On the p-Laplacian evolution equation in metric measure spaces, Journal of Functional Analysis, 283 (8) 2022, p. 109621: 1-55. See in PBN
• Wojciech Górny , José M. Mazón, The Neumann and Dirichlet problems for the total variation flow in metric measure spaces, Advances in Calculus of Variations, 17 (1) 2022, p. 131-164. See in PBN

2021

• Wojciech Górny , Existence of minimisers in the least gradient problem for general boundary data, Indiana University Mathematics Journal, 70 (3) 2021, p. 1003-1037. See in PBN
• Wojciech Górny , José M. Mazón, Least gradient functions in metric random walk spaces, ESAIM - Control, Optimisation and Calculus of Variations, 27 2021, p. S28. See in PBN

2020

• Wojciech Górny , Least gradient problem with respect to a non-strictly convex norm, Nonlinear Analysis, Theory, Methods and Applications, 200 2020, p. 112049. See in PBN
• Wojciech Górny , Lp regularity of least gradient functions, Proceedings of the American Mathematical Society, 148 (7) 2020, p. 3009-3019. See in PBN

2018

• Wojciech Górny , (Non)uniqueness of minimizers in the least gradient problem, Journal of Mathematical Analysis and Applications, 468 (2) 2018, p. 913-938. See in PBN
• Wojciech Górny , Planar least gradient problem: existence, regularity and anisotropic case, Calculus of Variations and Partial Differential Equations, 57 2018, p. 1-27. See in PBN

2017

• Piotr Rybka , Ahmad Sabra, Wojciech Górny , Special cases of the planar least gradient problem, Nonlinear Analysis, Theory, Methods and Applications, 151 2017, p. 66-95. See in PBN