We study the interior regularity in Orlicz spaces of solutions to second-order elliptic equations, in non divergence and in complete form, with discontinuous coefficients. The proof is based on the $L^\Phi$-boundedness results for singular integral operators with variable kernels of Calderòn--Zygmund type and their commutators with VMO functions.
Local Estimates for Solutions of Second-Order Elliptic Equations in Orlicz Spaces
Amiran Gogatishvili;Pia Salerno;Lyoubomira Softova
In corso di stampa
Abstract
We study the interior regularity in Orlicz spaces of solutions to second-order elliptic equations, in non divergence and in complete form, with discontinuous coefficients. The proof is based on the $L^\Phi$-boundedness results for singular integral operators with variable kernels of Calderòn--Zygmund type and their commutators with VMO functions.File in questo prodotto:
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