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- W4287789413 abstract "Variational problems of splitting-type with mixed linear-superlinear growth conditions are considered. In the twodimensional case the minimizing problem is given by [ J [w] = int_{Omega} Big[f_1big(partial_1 wbig) + f_2big(partial_2 wbig)Big] ,dx to min ] w.r.t. a suitable class of comparison functions. Here $f_1$ is supposed to be a convex energy density with linear growth, $f_2$ is supposed to be of superlinear growth, for instance to be given by a $N$-function or just bounded from below by a $N$-function. One motivation for this kind of problem located between the well known splitting-type problems of superlinear growth and the splitting-type problems with linear growth (recently considered in [1]) is the link to mathematical problems in plasticity (compare [2]). Here we prove results on the appropriate way of relaxation including approximation procedures, duality, existence and uniqueness of solutions as well as some new higher integrability results." @default.
- W4287789413 created "2022-07-26" @default.
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- W4287789413 date "2020-05-02" @default.
- W4287789413 modified "2023-10-16" @default.
- W4287789413 title "Variational problems of splitting-type with mixed linear-superlinear growth conditions" @default.
- W4287789413 doi "https://doi.org/10.48550/arxiv.2005.00790" @default.
- W4287789413 hasPublicationYear "2020" @default.
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