@misc{10481/91708, year = {2024}, month = {2}, url = {https://hdl.handle.net/10481/91708}, abstract = {In the Heisenberg group H1 with a sub-Finsler structure, an (X, Y)-Lipschitz surface which is complete, oriented, connected and stable must be a vertical plane. In particular, the result holds for entire intrinsic graphs of Euclidean Lipschitz functions.}, organization = {MCIN/AEI/10.13039/501100011033 grant PID2020-118180GB-I00}, organization = {“ERDF A way of making Europe”.}, organization = {MCIN/AEI/10.13039/501100011033 grant PID2020-118180GBI00}, organization = {Junta de Andalucía grant P20-00164}, organization = {H2020-MSCA-RISE-2017 project GHAIA}, organization = {INdAM- GNAMPA 2022 Project Analisi geometrica in strutture subriemanniane, codice CUPE55F22000270001}, publisher = {World Scientific}, keywords = {Heisenberg group}, keywords = {Area-stationary surfaces}, keywords = {Sub-Finsler structure}, title = {The Bernstein problem for (X, Y)-Lipschitz surfaces in three-dimensional sub-Finsler Heisenberg groups}, doi = {10.1142/S0219199723500487}, author = {Giovannardi, Gianmarco and Ritoré Cortés, Manuel María}, }