English

On a "zero mass" nonlinear Schrodinger equation

Analysis of PDEs 2007-05-23 v2

Abstract

We look for positive solutions to the nonlinear Schrodinger equation with a potential, under the hypothesis of zero mass on the nonlinearity, in a particular situation. Existence and multiplicity results are provided.

Keywords

Cite

@article{arxiv.math/0609407,
  title  = {On a "zero mass" nonlinear Schrodinger equation},
  author = {Antonio Azzollini and Alessio Pomponio},
  journal= {arXiv preprint arXiv:math/0609407},
  year   = {2007}
}

Comments

32 pages. We corrected a gap in the proof of Theorem 3.9