An extension of a theorem of Bers and Finn on the removability of isolated singularities to the Euler–Lagrange equations related to general linear growth problems

An extension of a theorem of Bers and Finn on the removability of isolated singularities to the Euler–Lagrange equations related to general linear growth problems

A famous theorem of Bers and Finn states that isolated singularities of solutions to the non-parametric minimal surface equation are removable. We show that this result remains valid, if the area functional is replaced by a general functional of linear growth depending on the modulus of the gradient...

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Bibliographic Details
Main Authors: Bildhauer, M. (Author), Fuchs, M. (Author)
Format: Article
Language:English
Published: Springer Science and Business Media Deutschland GmbH 2022
Online Access:View Fulltext in Publisher
LEADER 00981nam a2200145Ia 4500
001 10.1007-s00526-022-02187-7
008 220425s2022 CNT 000 0 und d
020 |a 09442669 (ISSN) 
245 1 0 |a An extension of a theorem of Bers and Finn on the removability of isolated singularities to the Euler–Lagrange equations related to general linear growth problems 
260 0 |b Springer Science and Business Media Deutschland GmbH  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1007/s00526-022-02187-7 
520 3 |a A famous theorem of Bers and Finn states that isolated singularities of solutions to the non-parametric minimal surface equation are removable. We show that this result remains valid, if the area functional is replaced by a general functional of linear growth depending on the modulus of the gradient. © 2022, The Author(s). 
700 1 |a Bildhauer, M.  |e author 
700 1 |a Fuchs, M.  |e author 
773 |t Calculus of Variations and Partial Differential Equations 

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