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Existence theorems for the Schrödinger equation involving a critical Sobolev exponent

✍ Scribed by Chabrowski, J.; Yang, J.

Book ID: 113011448
Publisher: Springer
Year: 1998
Tongue: English
Weight: 342 KB
Volume: 49
Category: Article
ISSN: 0044-2275
DOI: 10.1007/pl00001485

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The Cauchy problem for the nonlinear Schro dinger equations is considered in the Sobolev space H nÂ2 (R n ) of critical order nÂ2, where the embedding into L (R n ) breaks down and any power behavior of interaction works as a subcritical nonlinearity. Under the interaction of exponential type the ex