We establish the existence of infinitely many solutions for the equation -Δ_Gu = f(ξ,u), ξ in G where Δ_G is a sublaplacian on a rational Carnot group G. The function f is assumed to be periodic with respect to a discrete co-compact subgroup of G and satisfy subcritical growth conditions.
Existence of infinitely many solutions for a class of semilinear subelliptic equations on rational Carnot groups
LOIUDICE, ANNUNZIATA
2007-01-01
Abstract
We establish the existence of infinitely many solutions for the equation -Δ_Gu = f(ξ,u), ξ in G where Δ_G is a sublaplacian on a rational Carnot group G. The function f is assumed to be periodic with respect to a discrete co-compact subgroup of G and satisfy subcritical growth conditions.File in questo prodotto:
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