Variational perturbative methods and bifurcation of bound states from the essential spectrum-Reference-Cited by-同舟云学术

Variational perturbative methods and bifurcation of bound states from the essential spectrum

Published:1998 Issue:6 Volume:128 Page:1131-1161
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Ambrosetti Antonio,Badiale Marino

Abstract

This paper consists of two main parts. The first deals with a perturbative method in critical point theory and can be seen as the generalisation and completion of some earlier results. The second part is concerned with applications of the abstract setup to the existence of bound states of a class of elliptic differential equations that branch off from the infimum of the essential spectrum.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

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3. Bifurcation in Lp(ℝN) for a semilinear elliptic equation;Stuart;Proc. London Math. Soc.,1988

4. 2 Ambrosetti A. and Badiale M. . Homoclinics: Poincaré–Melnikov type results via a variational approach. Ann. Inst. H. Poincaré Anal. Non Linéaire (to appear); see also the preliminary Note, C. R. Acad. Sci. Paris Sér. I 323 (1996), 753é8.

5. On perturbations of a translationally-invariant differential equation

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