Abstract. We study the existence of a solution of the problem −Δu + V (x)u = f (u) u(x) > 0, under the assumption that lim V(x)=0 |x|→∞ where V > 0 and there is no ground state solution.
Existence of solutions for the nonlinear Schroedinger equation with V(infty)=0
BENCI, VIERI;GRISANTI, CARLO ROMANO;MICHELETTI, ANNA MARIA
2006-01-01
Abstract
Abstract. We study the existence of a solution of the problem −Δu + V (x)u = f (u) u(x) > 0, under the assumption that lim V(x)=0 |x|→∞ where V > 0 and there is no ground state solution.File in questo prodotto:
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