Existence and extendibility of rotationally symmetric graphs with a prescribed higher mean curvature function in Euclidean and Minkowski spaces

DOI10.1016/j.jmaa.2016.09.022zbMath1351.53075OpenAlexW2519581378MaRDI QIDQ321859

Alfonso Romero, Pedro J. Torres, Daniel de la Fuente

Publication date: 14 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.09.022

zbMATH Keywords

Minkowski spacetimeSchauder fixed point theoremprescribed higher mean curvature functionsingular nonlinear equation

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

Positive rotationally symmetric solutions for a Dirichlet problem involving the higher mean curvature operator in Minkowski space ⋮ Spectrum, bifurcation and hypersurfaces of prescribed k-th mean curvature in Minkowski space ⋮ Discrete Neumann boundary value problem for a nonlinear equation with singular \(\phi\)-Laplacian ⋮ Unnamed Item

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