Imbedding estimates and elliptic equations with discontinuous coefficients in unbounded domain
In this paper we deal with the multiplication operator<em> u ∈ W^{k,p} (Ω) → gu ∈ L^q (Ω),</em> 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 discontin...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Università degli Studi di Catania
1996-05-01
|
| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/428 |
| Summary: | In this paper we deal with the multiplication operator<em> u ∈ W^{k,p} (Ω) → gu ∈ L^q (Ω),</em> 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.<br /> |
|---|---|
| ISSN: | 0373-3505 2037-5298 |