On the (non)compactness of the radial Sobolev spaces

Author:

Ebihara Yukiyoshi,Schonbek Tomas P.

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference5 articles.

1. [2] V. I. Kondrachov, Certain properties of functions in the spaces Lp , Dokl. Akad. Nauk. SSSR 48 (1945), 535-538.

2. [3] F. Rellich, Ein Satz uber mittlere Konvergenz, Nachr. Gesel. Wiss. Gottingen, Math.- Phys. Kl. (1930), 30-35.

3. [4] S. L. Sobolev, Applications of Functional Analysis in Mathematical Physics, Leningrad 1950 [English transl.: Amer. Math. Soc., Transl., Math. Mono. 7 (1963)].

4. [5] W. A. Strauss, Existence of solitary waves in higher dimensions, Commun. Math. Phys. 55 (1977), 149-162.

5. [1] R. A. ADAMS, Sobolev Spaces, Academic Press, New York, 1975.

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