We consider m-th order linear, uniformly elliptic equations with non-smooth coefficients in Banach-Sobolev spaces generated by weighted Banach Function Spaces on a bounded domain. Supposing boundedness of the Hardy-Littlewood Maximal operator and the Calderòn-Zygmund singular integrals we obtain solvability in the small and establish interior Schauder type a priori estimates.
Higher order elliptic equations in weighted Banach spaces
Lyoubomira Softova
Membro del Collaboration Group
2024
Abstract
We consider m-th order linear, uniformly elliptic equations with non-smooth coefficients in Banach-Sobolev spaces generated by weighted Banach Function Spaces on a bounded domain. Supposing boundedness of the Hardy-Littlewood Maximal operator and the Calderòn-Zygmund singular integrals we obtain solvability in the small and establish interior Schauder type a priori estimates.File in questo prodotto:
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