In this paper we consider quasilinear elliptic systems with p, q-growth. We discuss some aspects of the theory of regularity for systems and we state a local bound- edness result for weak solutions, obtained in collaboration with P. Marcellini. Moreover, a new boundedness result is proved under weaker assumptions on the coefficients.
Local regularity for elliptic systems with p,q-growth / Cupini, Giovanni; Mascolo, Elvira. - In: BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR. - ISSN 2240-2829. - STAMPA. - 2015:(2015), pp. 15-38. [10.6092/issn.2240-2829/5888(http://dx.doi.org/10.6092%Fissn2240-2829/5888)]
Local regularity for elliptic systems with p,q-growth
MASCOLO, ELVIRA
2015
Abstract
In this paper we consider quasilinear elliptic systems with p, q-growth. We discuss some aspects of the theory of regularity for systems and we state a local bound- edness result for weak solutions, obtained in collaboration with P. Marcellini. Moreover, a new boundedness result is proved under weaker assumptions on the coefficients.
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