ON A NEW APPROACH TO BERNSTEIN'S THEOREM AND RELATED QUESTIONS FOR EQUATIONS OF MINIMAL SURFACE TYPE

DOI10.1070/SM1980V036N02ABEH001805zbMath0488.49029OpenAlexW2068494517MaRDI QIDQ3949599

Vladimir Mikhaelovich Miklyukov

Publication date: 1980

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1980v036n02abeh001805

zbMATH Keywords

Liouville's theoremBernstein's theoremPhragmen-Lindelöf theoremequations of minimal surface type

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) General theory of partial differential operators (47F05) Other generalizations of function theory of one complex variable (32A30)

Related Items (6)

Strong maximum principle for mean curvature operators on subRiemannian manifolds ⋮ Unnamed Item ⋮ On uniform convergence of piecewise-linear solutions to minimal surface equation ⋮ Spiraling minimal graphs ⋮ Global comparison principles for the \(p\)-Laplace operator on Riemannian manifolds ⋮ Some elementary inequalities in gas dynamics equation

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