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

Michael Bildhauer; Martin Fuchs

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arXiv · 1911.10355

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

Michael Bildhauer·Martin Fuchs

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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.

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Michael Bildhauer, Martin Fuchs. 2019-11-23. On a class of variational problems with linear growth and radial symmetry. https://arxiv.org/abs/1911.10355

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