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.

Existence and regularity results for weak solutions to ( p , q ) -elliptic systems in divergence form / Bulíček, Miroslav; Cupini, Giovanni; Stroffolini, Bianca; Verde, Anna. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 11:3(2018), pp. 273-288. [10.1515/acv-2016-0054]

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

Stroffolini Bianca;Verde Anna
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
Existence and regularity results for weak solutions to ( p , q ) -elliptic systems in divergence form / Bulíček, Miroslav; Cupini, Giovanni; Stroffolini, Bianca; Verde, Anna. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 11:3(2018), pp. 273-288. [10.1515/acv-2016-0054]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/681370
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