On a class of variational problems with linear growth and radial symmetry

Michael Bildhauer; Martin Fuchs

Commentationes Mathematicae Universitatis Carolinae (2021)

  • Volume: 62, Issue: 3, page 325-345
  • ISSN: 0010-2628

Abstract

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We discuss variational problems on two-dimensional domains with energy densities of linear growth and with radially symmetric data. The smoothness of generalized minimizers is established under rather weak ellipticity assumptions. Further results concern the radial symmetry of solutions as well as a precise description of their behavior near the boundary.

How to cite

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Bildhauer, Michael, and Fuchs, Martin. "On a class of variational problems with linear growth and radial symmetry." Commentationes Mathematicae Universitatis Carolinae 62.3 (2021): 325-345. <http://eudml.org/doc/297435>.

@article{Bildhauer2021,
abstract = {We discuss variational problems on two-dimensional domains with energy densities of linear growth and with radially symmetric data. The smoothness of generalized minimizers is established under rather weak ellipticity assumptions. Further results concern the radial symmetry of solutions as well as a precise description of their behavior near the boundary.},
author = {Bildhauer, Michael, Fuchs, Martin},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {linear growth problem; symmetric solutions in 2D; existence of solutions in 2D; uniqueness solution in 2D; (non-)attainment of boundary data},
language = {eng},
number = {3},
pages = {325-345},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On a class of variational problems with linear growth and radial symmetry},
url = {http://eudml.org/doc/297435},
volume = {62},
year = {2021},
}

TY - JOUR
AU - Bildhauer, Michael
AU - Fuchs, Martin
TI - On a class of variational problems with linear growth and radial symmetry
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2021
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 62
IS - 3
SP - 325
EP - 345
AB - We discuss variational problems on two-dimensional domains with energy densities of linear growth and with radially symmetric data. The smoothness of generalized minimizers is established under rather weak ellipticity assumptions. Further results concern the radial symmetry of solutions as well as a precise description of their behavior near the boundary.
LA - eng
KW - linear growth problem; symmetric solutions in 2D; existence of solutions in 2D; uniqueness solution in 2D; (non-)attainment of boundary data
UR - http://eudml.org/doc/297435
ER -

References

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