We study the BMO and the Lp solvability of the Dirichlet problem for a second order divergence form elliptic operator with bounded measurable coefficients in a Lipschitz domain. We obtain a relation between the BMO-constant of the operator (see Definition 6) and the solvability exponents p.
On the solvability of the L^p and BMO Dirichlet problem for elliptic operators / Zecca, Gabriella. - In: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 1998-0140. - 8:Issue 1(2014), pp. 243-247.
On the solvability of the L^p and BMO Dirichlet problem for elliptic operators
ZECCA, GABRIELLA
2014
Abstract
We study the BMO and the Lp solvability of the Dirichlet problem for a second order divergence form elliptic operator with bounded measurable coefficients in a Lipschitz domain. We obtain a relation between the BMO-constant of the operator (see Definition 6) and the solvability exponents p.File in questo prodotto:
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