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

Published online by Cambridge University Press:  14 November 2011

Antonio Ambrosetti  and
Marino Badiale
Antonio Ambrosetti
Affiliation:
Scuola Normale Superiore, Pisa, 56100, Italy
Marino Badiale
Affiliation:
Scuola Normale Superiore, Pisa, 56100, Italy
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Extract

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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 6 , 1998 , pp. 1131 - 1161
Copyright
Copyright © Royal Society of Edinburgh 1998

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References

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