The principle branch of solutions of a nonlinear elliptic eigenvalue problem on RN

Journal of Differential Equations

Volumn 124, Issue 2, 1996, Pages 279-301

  Edelson, A L ^a   Stuart, C A ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000879088     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0010     Document Type: Article

References (10)

1. H. BRÉZIS, "Analyse Fonctionnelle," Masson, Paris, 1983.
2. F. A. BEREZIN AND M. A. SHUBIN, The Schrödinger equation, Kluwer, Dordrecht, 1991.
3. R. DAUTRAY AND J. L. LIONS, "Analyse Mathématique et Calcul Numérique pour les Sciences et les Techniques," Vol. 1, Masson, Paris, 1984.
4. E. STEIN, "Singular Integrals and Differentiability Properties of Functions," Princeton Univ. Press, Princeton, NJ, 1970.
5. N) for a semilinear elliptic equation, Proc. London Math. Soc. 57 (1988), 511-541.
6. C. A. STUART, Guidance properties of nonlinear planar waveguides, Arch. Rational Mech. Anal. 125 (1993), 145-200.
7. O. JOHN AND C. A. STUART, Guidance properties of a cylindrical defocusing waveguide, to appear.
8. M. REED AND B. SIMON, "Methods of Mathematical Physics," Vol. IV, Academic Press, New York, 1978.
9. S. AGMON, Bounds on exponential decay of eigenfunctions of Schrödinger operators, in "Schrödinger Operators," Springer Lecture Notes in Mathematics, Vol. 1159, Springer-Verlag, Berlin, 1985.
10. P. HARTMAN, "Ordinary Differential Equations," Baltimore, 1973.