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.

Miroslav Bulíček, G.C. (2018). Existence and regularity results for weak solutions to (p,q)-elliptic systems in divergence form. ADVANCES IN CALCULUS OF VARIATIONS, 11, 273-288 [10.1515/acv-2016-0054].

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

Giovanni Cupini;
2018

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.
2018
Miroslav Bulíček, G.C. (2018). Existence and regularity results for weak solutions to (p,q)-elliptic systems in divergence form. ADVANCES IN CALCULUS OF VARIATIONS, 11, 273-288 [10.1515/acv-2016-0054].
Miroslav Bulíček, Giovanni Cupini, Bianca Stroffolini, Anna Verde
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/649362
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