Bifurcation results for semilinear elliptic problems in R^N

Details Bifurcation results for semilinear elliptic problems in R^N Bifurcation results for semilinear elliptic problems in R^N

2002-11-21

arxiv.org/abs/math/0211342v1

Mathematics

Analysis of PDEs

25 pages

Scientific paper

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

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