Local Regularity For Elliptic Systems With p, q-Growth

Giovanni Cupini, Elvira Mascolo


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 boundedness result for weak solutions, obtained in collaboration with P. Marcellini. Moreover, a new boundedness result is proved under weaker assumptions on the coefficients.


existence; regularity; weak; solution; elliptic; system; growth

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DOI: 10.6092/issn.2240-2829/5888


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