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Elliptic equations with nonzero boundary conditions in weighted Sobolev spaces

โœ Scribed by Doyoon Kim


Book ID
108175922
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
214 KB
Volume
337
Category
Article
ISSN
0022-247X

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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.

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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.