Výsledky vyhledávání - "Rosales, Leobardo"

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A Hopf-type boundary point lemma for pairs of solutions to quasilinear equations

Autor: Rosales, Leobardo

We show a Hopf boundary point lemma for $u=u_{1}-u_{2},$ given $u_{1},u_{2} \in C^{1,\alpha}$ each weak solutions to a quasilinear equation $\sum_{i=1}^{n} D_{i}(A^{i}(x,u,Du))+B(x,u,Du)=0$ under mild boundedness assumptions on $A^{1},\ldots,A^{n},B.

Externí odkaz: http://arxiv.org/abs/1806.09798

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Generalizing Hopf's boundary point lemma

Autor: Rosales, Leobardo

We give a Hopf boundary point lemma for weak solutions of linear divergence form uniformly elliptic equations, with H$\ddot{\text{o}}$lder continuous top-order coefficients and lower-order coefficients in a Morrey space.
Comment: 14 pages, Canad

Externí odkaz: http://arxiv.org/abs/1806.07003

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Co-dimension one area-minimizing currents with $C^{1,\alpha}$ tangentially immersed boundary having Lipschitz co-oriented mean curvature

Autor: Rosales, Leobardo

We study $n$-dimensional area-minimizing currents $T$ in $\mathbb{R}^{n+1},$ with boundary $\partial T$ satisfying two properties: $\partial T$ is locally a finite sum of $(n-1)$-dimensional $C^{1,\alpha}$ orientable submanifolds which only meet tang

Externí odkaz: http://arxiv.org/abs/1805.01287

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Partial boundary regularity for co-dimension one area-minimizing currents at immersed $C^{1,\alpha}$ tangential boundary points; full exposition

Autor: Rosales, Leobardo

We give partial boundary regularity for co-dimension one absolutely area-minimizing currents at points where the boundary consists of a sum of $C^{1,\alpha}$ submanifolds, possibly with multiplicity, meeting tangentially, given that the current has a

Externí odkaz: http://arxiv.org/abs/1704.05164

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Co-Dimension One Area-Minimizing Currents with $C^{1,\alpha}$ Tangentially Immersed Boundary

Autor: Rosales, Leobardo

We introduce and study co-dimension one area-minimizing locally rectifiable currents $T$ with $C^{1,\alpha}$ tangentially immersed boundary: $\partial T$ is locally a finite sum of orientable co-dimension two submanifolds which only intersect tangent

Externí odkaz: http://arxiv.org/abs/1603.08568

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