{"ID":23021117,"CreatedAt":"2026-09-17T04:55:43.771560302Z","UpdatedAt":"2026-09-17T04:55:43.771560302Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2609.18838","arxiv_id":"2609.18838","title":"Existence of flat blowups at boundary points of anisotropic minimizing hypercurrents","abstract":"We consider $m$-dimensional currents in $\\mathbb{R}^{m+1}$ that almost minimize an anisotropic energy whose integrand is continuous in the space variable and $C^{2,{\\rm Dini}}$ in the normal variable. We prove that if the boundary of such a current is differentiable, then the current admits a flat blowup at every boundary point.","short_abstract":"We consider $m$-dimensional currents in $\\mathbb{R}^{m+1}$ that almost minimize an anisotropic energy whose integrand is continuous in the space variable and $C^{2,{\\rm Dini}}$ in the normal variable. We prove that if the boundary of such a current is differentiable, then the current admits a flat blowup at every bound...","url_abs":"https://arxiv.org/abs/2609.18838","url_pdf":"https://arxiv.org/pdf/2609.18838v1","authors":"[\"Michael Novack\",\"Reinaldo Resende\"]","published":"2026-09-16T15:45:44Z","proceeding":"math.AP","tasks":"[\"math.AP\",\"math.DG\"]","methods":"[]","has_code":false}