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arXiv · 1611.03549

Existence and regularity results for weak solutions to $(p,q)$-elliptic systems in divergence form

Miroslav Bulíček·Giovanni Cupini·Bianca Stroffolini·Anna Verde
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Abstract

We prove existence and regularity results for weak solutions of non linear elliptic systems with non variational structure satisfying $(p,q)$-growth conditions. In particular we are able to prove higher differentiability results under a dimension-free gap between $p$ and $q$.

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Miroslav Bulíček, Giovanni Cupini, Bianca Stroffolini, Anna Verde. 2016-11-11. Existence and regularity results for weak solutions to $(p,q)$-elliptic systems in divergence form. https://doi.org/10.1515/acv-2016-0054

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