Nonexistence and instability in the exterior Dirichlet problem for the minimal surface equation in the plane

Pacific Journal of Mathematics ◽

10.2140/pjm.1995.170.535 ◽

1995 ◽

Vol 170 (2) ◽

pp. 535-542 ◽

Author(s):

Nikolai Kutev ◽

Friedrich Tomi

Keyword(s):

Dirichlet Problem ◽

Minimal Surface ◽

Surface Equation ◽

Minimal Surface Equation

Download Full-text

On solutions to the exterior Dirichlet problem for the minimal surface equation with catenoidal ends

Advances in Calculus of Variations ◽

10.1515/acv-2012-0010 ◽

2014 ◽

Vol 7 (2) ◽

Author(s):

Jaime Ripoll ◽

Friedrich Tomi

Keyword(s):

Dirichlet Problem ◽

Minimal Surface ◽

Surface Equation ◽

Minimal Surface Equation

Download Full-text

The Dirichlet problem for the $$\alpha $$ α -singular minimal surface equation

Archiv der Mathematik ◽

10.1007/s00013-018-1255-0 ◽

2018 ◽

Vol 112 (2) ◽

pp. 213-222

Author(s):

Rafael López

Keyword(s):

Dirichlet Problem ◽

Minimal Surface ◽

Surface Equation ◽

Minimal Surface Equation ◽

Singular Minimal Surface

Download Full-text

Dirichlet Problem with L^1 Data for the Non-Homogeneous Minimal Surface Equation

Indiana University Mathematics Journal ◽

10.1512/iumj.1975.24.24020 ◽

1974 ◽

Vol 24 (3) ◽

pp. 227-241 ◽

Author(s):

Mario Miranda

Keyword(s):

Dirichlet Problem ◽

Minimal Surface ◽

Surface Equation ◽

Minimal Surface Equation

Download Full-text

On the existence of foliations by solutions to the exterior Dirichlet problem for the minimal surface equation

10.1090/proc/15845 ◽

2021 ◽

Author(s):

Ari Aiolfi ◽

Daniel Bustos ◽

Jaime Ripoll

Keyword(s):

Dirichlet Problem ◽

Minimal Surface ◽

Surface Equation ◽

Minimal Surface Equation

Download Full-text

The Dirichlet problem for the minimal surface equation with Lipschitz continuous boundary data.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1984.354.123 ◽

1984 ◽

Vol 1984 (354) ◽

pp. 123-140 ◽

Keyword(s):

Dirichlet Problem ◽

Minimal Surface ◽

Boundary Data ◽

Lipschitz Continuous ◽

Surface Equation ◽

Minimal Surface Equation ◽

Continuous Boundary

Download Full-text

The Dirichlet problem for the minimal surface equation, with infinite data

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1966-11438-6 ◽

1966 ◽

Vol 72 (1) ◽

pp. 102-107 ◽

Author(s):

Howard Jenkins ◽

James Serrin

Keyword(s):

Dirichlet Problem ◽

Minimal Surface ◽

Surface Equation ◽

Minimal Surface Equation

Download Full-text

On solutions of the exterior Dirichlet problem for the minimal surface equation

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(16)30211-6 ◽

1993 ◽

Vol 10 (4) ◽

pp. 445-451 ◽

Author(s):

Ernst Kuwert

Keyword(s):

Dirichlet Problem ◽

Minimal Surface ◽

Surface Equation ◽

Minimal Surface Equation

Download Full-text

The Dirichlet problem for the minimal surface equation, with possible infinite boundary data, over domains in a Riemannian surface

Proceedings of the London Mathematical Society ◽

10.1112/plms/pdq032 ◽

2010 ◽

Vol 102 (6) ◽

pp. 985-1023 ◽

Author(s):

L. Mazet ◽

M. M. Rodríguez ◽

H. Rosenberg

Keyword(s):

Dirichlet Problem ◽

Minimal Surface ◽

Boundary Data ◽

Riemannian Surface ◽

Surface Equation ◽

Minimal Surface Equation

Download Full-text

The Dirichlet problem for the minimal surface equation in higher dimensions.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1968.229.170 ◽

1968 ◽

Vol 1968 (229) ◽

pp. 170-187 ◽

Keyword(s):

Dirichlet Problem ◽

Minimal Surface ◽

Higher Dimensions ◽

Surface Equation ◽

Minimal Surface Equation

Download Full-text

Chapter Three The Dirichlet Problem for the Minimal Surface Equation

North-Holland Mathematics Studies - Minimal Surfaces of Codimension One ◽

10.1016/s0304-0208(08)70645-5 ◽

1984 ◽

pp. 152-216

Keyword(s):

Dirichlet Problem ◽

Minimal Surface ◽

Surface Equation ◽

Minimal Surface Equation

Download Full-text