Výsledky vyhledávání - "Brian Krummel"

On the regularity of the free boundary in the $p$-Laplacian obstacle problem

Autor: Xavier Ros-Oton, Brian Krummel, Alessio Figalli

We study the regularity of the free boundary in the obstacle for the p-Laplacian, min ⁡ { − Δ p u , u − φ } = 0 in Ω ⊂ R n . Here, Δ p u = div ( | ∇ u | p − 2 ∇ u ) , and p ∈ ( 1 , 2 ) ∪ ( 2 , ∞ ) . Near those free boundary po

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Regularity of minimal hypersurfaces with a common free boundary

Autor: Brian Krummel

Publikováno v: Calculus of Variations and Partial Differential Equations. 51:525-537

Let $N$ be a Riemannian manifold and consider a stationary union of three or more $C^{1,\mu}$ hypersurfaces-with-boundary $M_k$ in $N$ with a common boundary $\Gamma$. We show that if $N$ is smooth, then $\Gamma$ is smooth and each $M_k$ is smooth up

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https://doi.org/10.1007/s00526-013-0685-6

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Regularity of minimal submanifolds and mean curvature flows with a common free boundary

Autor: Brian Krummel

Let $N$ be a smooth $(n+l)$-dimensional Riemannian manifold. We show that if $V$ is an area-stationary union of three or more $C^{1,\mu}$ $n$-dimensional submanifolds-with-boundary $M_k \subset N$ with a common boundary $\Gamma$, then $\Gamma$ is smo

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On isoperimetric surfaces in general relativity

Autor: Justin Corvino, Michael Greenberg, Brian Krummel, Aydin Gerek

Publikováno v: Pacific Journal of Mathematics. 231:63-84

We obtain the isoperimetric profile for the standard initial slices in the Reissner‐Nordstrom and Schwarzschild anti-de Sitter spacetimes, following recent work of Bray and Morgan on isoperimetric comparison. We then discuss these results in the co

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https://doi.org/10.2140/pjm.2007.231.63

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Existence and regularity of multivalued solutions to elliptic equations and systems

Autor: Brian Krummel

We extend the work of Simon and Wickramasekera, who constructed a large class of $C^{1,\mu}$ multivalued solutions to the minimal surface equation, to produce $C^{1,\mu}$ multivalued solutions to more general classes of elliptic equations and systems

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http://arxiv.org/abs/1309.6233

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