Existence of minimal nodal solutions for the Nonlinear Schroedinger equations with V ({\infty}) = 0

Anna Maria Micheletti; Marco G. Ghimenti

arxiv: 1012.5611 · v1 · pith:NRBPB6K6new · submitted 2010-12-27 · 🧮 math.AP · math-ph· math.MP

Existence of minimal nodal solutions for the Nonlinear Schroedinger equations with V ({infty}) = 0

Marco G. Ghimenti , Anna Maria Micheletti This is my paper

classification 🧮 math.AP math-phmath.MP

keywords existenceinftysolutionsbehaviorchangeconsiderdeltadouble

0 comments

read the original abstract

We consider the problem {\Delta}u+V(x)u = f'(u) in RN. Here the nonlinearity has a double power behavior and V is invariant under an orthogonal involution, with V ({\infty}) = 0. An existence theorem of one pair of solutions which change sign exactly once is given.

This paper has not been read by Pith yet.

Existence of minimal nodal solutions for the Nonlinear Schroedinger equations with V ({infty}) = 0

discussion (0)