Bifurcation results for semilinear elliptic problems in R N

Source abstract

In this paper we obtain, for a semilinear elliptic problem in R N , 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.