Gradient $L^q$ theory for a class of non-diagonal nonlinear elliptic systems

Miroslav Bulíček, Martin Kalousek, Petr Kaplický +1

We consider a class of nonlinear non-diagonal elliptic systems with $p$-growth and establish the $L^q$-integrability for all $q\in [p,p+2]$ of any weak solution provided the corres…