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Bifurcation results for semilinear elliptic problems in RN

Published online by Cambridge University Press:  12 July 2007

Marino Badiale
Affiliation:
Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy(badiale@dm.unito.it)
Alessio Pomponio
Affiliation:
SISSA, via Beirut 2–4, 34014 Trieste, Italy(pomponio@sissa.it)

Abstract

In this paper we obtain, for a semilinear elliptic problem in RN, families of solutions bifurcating from the bottom of the spectrum of −Δ. The problem is variational in nature and we apply a nonlinear reduction method that allows us to search for solutions as critical points of suitable functionals defined on finite-dimensional manifolds.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2004

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