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An Inverse Function Theorem in Sobolev Spaces and Applications to Quasi-Linear Schrödinger Equations

✍ Scribed by Markus Poppenberg


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
212 KB
Volume
258
Category
Article
ISSN
0022-247X

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On weakly convergent sequences in Banach
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In the paper, we shall prove that almost everywhere convergent bounded sequence in a Banach function space X is weakly convergent if and only if X and its dual space X\* have the order continuous norms. It follows that almost everywhere convergent bounded sequence in ¸N #¸N (1(p , p (R) is weakly co