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

โœ Scribed by Mostafa Bendahmane; Moussa Chrif; Said El Manouni

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
149 KB
Volume
33
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Elliptic Equations with Discontinuous Co
Elliptic Equations with Discontinuous Coefficients in Weighted Sobolev Spaces on Unbounded Domains
โœ Patrizia Di Gironimo; Antonio Vitolo ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 105 KB

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.