scholarly journals On Morrey and BMO regularity for gradients of weak solutions to nonlinear elliptic systems with non-differentiable coefficients

2017 ◽  
pp. 1-14
Author(s):  
Josef Daněček ◽  
Eugen Viszus
Keyword(s):  
Weak Solutions ◽  
Elliptic Systems ◽  
Nonlinear Elliptic Systems ◽  
Nonlinear Elliptic

On the regularity of very weak minima

1996 ◽  
Vol 126 (2) ◽  
pp. 287-296 ◽  
Author(s):  
Daniela Giachetti ◽  
Francesco Leonetti ◽  
Rosanna Schianchi
Keyword(s):  
Weak Solutions ◽  
Elliptic Systems ◽  
Very Weak Solutions ◽  
Nonlinear Elliptic Systems ◽  
Higher Integrability ◽  
Nonlinear Elliptic ◽  
Variational Integrals ◽  
Weak Minima

We consider very weak minimisers u of variational integrals ∫ F(x, Du(x)) dx and very weak solutions u of nonlinear elliptic systems div A(x, u, Du) = 0; we prove higher integrability for the gradient Du without any homogeneity on ξ→A(x,u,ξ) thus improving on a result by Iwaniec and Sbordone.

Sign in / Sign up

Export Citation Format

Share Document