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arxiv: 1611.03549 · v1 · pith:NUH77RRNnew · submitted 2016-11-11 · 🧮 math.AP

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

classification 🧮 math.AP
keywords resultsellipticexistenceproveregularitysolutionssystemsweak
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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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