Hölder continuity for continuous solutions of the singular minimal surface equation with arbitrary zero set
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Publication:522253
DOI10.1007/s00526-016-1106-4zbMath1384.49034OpenAlexW2561478678WikidataQ115387311 ScholiaQ115387311MaRDI QIDQ522253
Publication date: 13 April 2017
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-016-1106-4
Smoothness and regularity of solutions to PDEs (35B65) Optimization of shapes other than minimal surfaces (49Q10) Quasielliptic equations (35H30)
Related Items (2)
Uniqueness of critical points and maximum principles of the singular minimal surface equation ⋮ Symmetric solutions of the singular minimal surface equation
Cites Work
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- Continuity estimates for solutions to the prescribed-curvature Dirichlet problem
- On a singular variational integral with linear growth. I: Existence and regularity of minimizers
- A classification of minimal cones in \({\mathbb{R}}^ n\times {\mathbb{R}}^+\) and a counterexample to interior regularity of energy minimizing functions
- Boundary regularity for solutions of a singular variational problem with linear growth
- Mean convexity of the zero set of symmetric minimal surfaces
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