In this paper we deal with the multiplication operator u ∈ W^{k,p} (Ω) → gu ∈ L^q (Ω), with g belonging to a space of Morrey type. We apply our results in order to establish an a-priori bound for the solutions of the Dirichlet problem concerning elliptic equations with discontinuous coefficients.
Imbedding estimates and elliptic equations with discontinuous coefficients in unbounded domains / Cavaliere, P.; Longobardi, Maria; Vitolo, A.. - In: LE MATEMATICHE. - ISSN 0373-3505. - STAMPA. - LI:I(1996), pp. 87-104.
Imbedding estimates and elliptic equations with discontinuous coefficients in unbounded domains
LONGOBARDI, MARIA;
1996
Abstract
In this paper we deal with the multiplication operator u ∈ W^{k,p} (Ω) → gu ∈ L^q (Ω), with g belonging to a space of Morrey type. We apply our results in order to establish an a-priori bound for the solutions of the Dirichlet problem concerning elliptic equations with discontinuous coefficients.File in questo prodotto:
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