Regularity for minimal boundaries in \(\mathbb{R}^n\) with mean curvature in \(L^n\)

DOI10.1007/s002290050082zbMath0929.49023OpenAlexW2022195335MaRDI QIDQ1269491

Emmanuele Paolini

Publication date: 29 November 1998

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290050082

zbMATH Keywords

Caccioppoli setprescribed mean curvatureminimal boundary

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (6)

On the generalized mean curvature ⋮ Regularity of \(\omega\)-minimizers of quasi-convex variational integrals with polynomial growth ⋮ Geometric properties of solutions to the total variation denoising problem ⋮ On sets with variational mean curvature in \(L^n(\mathbb{R}^n)\) ⋮ Morrey spaces and generalized Cheeger sets ⋮ Regularity for solutions of the total variation denoising problem

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