{"ID":2845728,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.03322","arxiv_id":"2511.03322","title":"Calibration for minimal surfaces with free boundary and Cheeger-type problems","abstract":"We study a problem of minimal surfaces with free boundary written in the form of a non convex minimization problem. Our aim is to characterize optimal solutions by finding a suitable calibration field. A natural upper bound of the infimum is given by a variant of the Cheeger problem that we solve explicitly proving the optimality thanks to the construction of a cut-locus potential. The comparison with the original problem is then discussed in detail.","short_abstract":"We study a problem of minimal surfaces with free boundary written in the form of a non convex minimization problem. Our aim is to characterize optimal solutions by finding a suitable calibration field. A natural upper bound of the infimum is given by a variant of the Cheeger problem that we solve explicitly proving the...","url_abs":"https://arxiv.org/abs/2511.03322","url_pdf":"https://arxiv.org/pdf/2511.03322v1","authors":"[\"Guy Bouchitté\",\"Minh Phan\"]","published":"2025-11-05T09:36:28Z","proceeding":"math.AP","tasks":"[\"math.AP\",\"math.OC\"]","methods":"[]","has_code":false}