We consider the elliptic partial differential equation in the divergence form \[ -{\rm div}(\nabla G(\nabla u(x)))+ F_u(x,u(x))=0, \] where $G$ is a convex, anisotropic function satisfying certain growth and ellipticity conditions. We prove that weak solutions in $W^{1,G}$ are in fact of class $W^{2,2}_{\rm loc}\cap W^{1,\infty}_{\rm loc}$.
Topol. Methods Nonlinear Anal.
55(2):
583-600
(2020).
DOI: 10.12775/TMNA.2019.106
ACCESS THE FULL ARTICLE
It is not available for individual sale.
This article is only available to subscribers.
It is not available for individual sale.
It is not available for individual sale.