arXiv Open Access 2015

A $C^1$ regularity result for the inhomogeneous normalized infinity Laplacian

Graziano Crasta Ilaria Fragalà

Lihat Sumber

Abstrak

We prove that the unique solution to the Dirichlet problem with constant source term for the inhomogeneous normalized infinity Laplacian on a convex domain of $\mathbb{R}^N$ is of class $C^1$. The result is obtained by showing as an intermediate step the power-concavity (of exponent $1/2$) of the solution.

Topik & Kata Kunci

math.AP

Penulis (2)

Graziano Crasta

Ilaria Fragalà

Format Sitasi

APA MLA BibTeX

Crasta, G., Fragalà, I. (2015). A $C^1$ regularity result for the inhomogeneous normalized infinity Laplacian. https://arxiv.org/abs/1506.05305

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2015
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓