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On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth
Type of publication: Article
Citation:
Publication status: Published
Journal: Archive for Rational Mechanics and Analysis
Volume: 225
Number: 2
Year: 2017
Pages: 717--769
URL: https://arxiv.org/abs/1601.019...
DOI: 10.1007/s00205-017-1113-4
Abstract: We investigate the properties of certain elliptic systems leading, a~priori, to solutions that belong to the space of Radon measures. We show that if the problem is equipped with a so-called asymptotic Uhlenbeck structure, then the solution can in fact be understood as a standard weak solution, with one proviso: analogously as in the case of minimal surface equations, the attainment of the boundary value is penalized by a measure supported on (a subset of) the boundary, which, for the class of problems under consideration here, is the part of the boundary where a Neumann boundary condition is imposed.
Preprint project: MORE
Preprint year: 2016
Preprint number: 01
Preprint ID: MORE/2016/01
Keywords:
Authors Beck, Lisa
Bulíček, Miroslav
Málek, Josef
Süli, Endre
Added by: [MB]
Total mark: 0
Attachments
  • BBMS_15_12_31.pdf
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