Marino Badiale, Alessio Pomponio
Published 2002-11-21Version 1
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.
The method of the energy function and applications
On the sharp stability of critical points of the Sobolev inequality
Ground state solutions for a semilinear elliptic problem with critical-subcritical growth
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