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pro vyhledávání: '"Resende, Reinaldo"'
Autor:
Fleschler, Ian, Resende, Reinaldo
In this paper, we consider an area-minimizing integral $m$-current $T$, within a submanifold $\Sigma \in C^{3,\kappa}$ of $\mathbb{R}^{m+n}$, with arbitrary boundary multiplicity $\partial T = Q[\![\Gamma]\!]$, where $\Gamma\subset\Sigma$ of class $C
Externí odkaz:
http://arxiv.org/abs/2410.04566
Autor:
Nardulli, Stefano, Resende, Reinaldo
Given an area-minimizing integral $m$-current in $\Sigma$, we prove that the Hausdorff dimension of the interior singular set of $T$ cannot exceed $m-2$, provided that $\Sigma$ is an embedded $(m+\bar{n})$-submanifold of $\mathbb{R}^{m+n}$ of class $
Externí odkaz:
http://arxiv.org/abs/2404.17407
Autor:
Resende, Reinaldo
We prove a Lipschitz approximation with superlinear error terms for integral currents $\omega$-minimizing the area functional, where $\omega$ is a modulus of continuity satisfying a Dini condition. We also present an almost monotonicity result for th
Externí odkaz:
http://arxiv.org/abs/2306.12530
Autor:
De Rosa, Antonio, Resende, Reinaldo
We prove that $m$-dimensional Lipschitz graphs in any codimension with $C^{1,\alpha}$ boundary and anisotropic mean curvature bounded in $L^p$, $p > m$, are regular at every boundary point with density bounded above by $1/2 +\sigma$, provided the ani
Externí odkaz:
http://arxiv.org/abs/2305.11258
Autor:
Nardulli, Stefano, Resende, Reinaldo
In the present work, we consider area minimizing currents in the general setting of arbitrary codimension and arbitrary boundary multiplicity. We study the boundary regularity of 2d area minimizing currents, beyond that, several results are stated in
Externí odkaz:
http://arxiv.org/abs/2204.11947
Autor:
Andrade, João Henrique, Conrado, Jackeline, Nardulli, Stefano, Piccione, Paolo, Resende, Reinaldo
We prove the existence of multiple solutions to the Allen--Cahn--Hilliard (ACH) vectorial equation (with two equations) involving a triple-well (triphasic) potential with a small volume constraint on a closed parallelizable Riemannian manifold. More
Externí odkaz:
http://arxiv.org/abs/2203.05034
Autor:
Nardulli, Stefano, Resende, Reinaldo
Publikováno v:
In Advances in Mathematics October 2024 455
Autor:
Andrade, João Henrique, Conrado, Jackeline, Nardulli, Stefano, Piccione, Paolo, Resende, Reinaldo
Publikováno v:
In Journal of Functional Analysis 1 April 2024 286(7)
Autor:
Resende, Reinaldo
For a complete Riemannian manifold with bounded geometry, we prove the existence of isoperimetric clusters and also the compactness theorem for sequence of clusters in a larger space obtained by adding finitely many limit manifolds at infinity. Moreo
Externí odkaz:
http://arxiv.org/abs/2006.14929
Autor:
De Rosa, Antonio, Resende, Reinaldo
Publikováno v:
Communications in Partial Differential Equations; 2024, Vol. 49 Issue 1/2, p15-37, 23p