We study the existence of a solution of the problem −Δu + V (x)u = f'(u) x ∈ R^N, N>=3 u(x) > 0, under the assumption that lim_{|x|->\infty} V(x)=0 where V > 0 and there is no ground state solution.
EXISTENCE OF SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH V(8)=0
BENCI, VIERI;
2006-01-01
Abstract
We study the existence of a solution of the problem −Δu + V (x)u = f'(u) x ∈ R^N, N>=3 u(x) > 0, under the assumption that lim_{|x|->\infty} V(x)=0 where V > 0 and there is no ground state solution.File in questo prodotto:
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