Gonzalo A. Benavides

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20202026

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4 papers · 1 filter

math.AP2026

Existence of weak solutions of the surface Beris-Edwards model

Gonzalo A. Benavides, Ricardo H. Nochetto, Mansur Shakipov

We prove the existence of weak solutions to the surface Beris-Edwards model for nematic liquid crystals posed on a $d$ -dimensional ( $d \in {2, 3}$ ) closed hypersurface of class $C…

math.AP2026

$L^{p}$ -based Sobolev theory on closed manifolds of minimal regularity: Scalar Elliptic Equations

Gonzalo A. Benavides, Ricardo H. Nochetto, Mansur Shakipov

This paper and its follow-up arXiv:2508.11109 are concerned with the well-posedness and $L^{p}$ -based Sobolev regularity for appropriate weak formulations of a family of pro…

math.AP2025

$L^{p}$ -based Sobolev theory on closed manifolds of minimal regularity: Vector-valued problems

Gonzalo A. Benavides, Ricardo H. Nochetto, Mansur Shakipov

This paper is the second part of a two-paper series, initiated in arXiv:2603.02163 for scalar PDEs on hypersurfaces, and is concerned with the well-posedness and $L^{p}$ -bas…

math.AP2022

Korn's inequality in anisotropic Sobolev spaces

Gonzalo A. Benavides, Sebastián A. Domínguez-Rivera

Korn's inequality has been at the heart of much exciting research since its first appearance in the beginning of the 20th century. Many are the applications of this inequality to t…

Existence of weak solutions of the surface Beris-Edwards model

Lp-based Sobolev theory on closed manifolds of minimal regularity: Scalar Elliptic Equations

Lp-based Sobolev theory on closed manifolds of minimal regularity: Vector-valued problems

Korn's inequality in anisotropic Sobolev spaces

$L^{p}$ -based Sobolev theory on closed manifolds of minimal regularity: Scalar Elliptic Equations

$L^{p}$ -based Sobolev theory on closed manifolds of minimal regularity: Vector-valued problems