Local Regularity For Elliptic Systems With p, q-Growth

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

Keywords

• existence
• regularity
• weak
• solution
• elliptic
• system
• growth