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arXiv · 1804.01319

On the local boundedness of generalized minimizers of variational problems with linear growth

Michael Bildhauer·Martin Fuchs·Jan Mueller·Xiao Zhong
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Abstract

We prove local boundedness of generalized solutions to a large class of variational problems of linear growth including boundary value problems of minimal surface type and models from image analysis related to the procedure of TV-regularization occurring in connection with the denoising of images, which might even be coupled with an inpainting process. Our main argument relies on a Moser-type iteration procedure.

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Michael Bildhauer, Martin Fuchs, Jan Mueller, Xiao Zhong. 2018-04-04. On the local boundedness of generalized minimizers of variational problems with linear growth. https://doi.org/10.1007/s10231-017-0716-6

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