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Gradient Bounds for Elliptic Problems Singular at the Boundary

โœ Scribed by Tommaso Leonori; Alessio Porretta


Book ID
105872447
Publisher
Springer
Year
2011
Tongue
English
Weight
431 KB
Volume
202
Category
Article
ISSN
0003-9527

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โœ Antonino Maugeri; Dian K Palagachev; Carmela Vitanza ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 142 KB

Strong solvability in the Sobolev space W 2 p is proved for the oblique derivative problem almost everywhere in โˆ‚u/โˆ‚ + ฯƒ x u = ฯ• x in the trace sense on โˆ‚ in the case when the vector field x has a contact of infinite order with โˆ‚ at the points of some non-empty subset E โŠ‚ โˆ‚ .