✦ LIBER ✦

Elliptic Equations with Discontinuous Coefficients in Weighted Sobolev Spaces on Unbounded Domains

✍ Scribed by Patrizia Di Gironimo; Antonio Vitolo

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 105 KB
Volume: 253
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7130

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we study an elliptic linear operator in weighted Sobolev spaces and show existence and uniqueness theorems for the Dirichlet problem when the coefficients are given in suitable spaces of Morrey type, improving the previous results known in the literature.

📜 SIMILAR VOLUMES

Elliptic equations in weighted Sobolev s

Elliptic equations in weighted Sobolev spaces of infinite order with L1 data

✍ Mostafa Bendahmane; Moussa Chrif; Said El Manouni 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 149 KB

We deal with the existence and uniqueness of weak solutions for a class of strongly nonlinear boundary value problems of higher order with L 1 data in anisotropic-weighted Sobolev spaces of infinite order.