English

Radial sign-changing solutions to biharmonic nonlinear Schr\"odinger equations

Analysis of PDEs 2017-04-12 v2

Abstract

In this work we obtain three radial solutions of a biharmonic stationary Schr\"odinger equation, being one positive, one negative and one that changes sign. The Dual Decompostion Method is used to split the natural second order Sobolev space considered in order to apply the appropriate variational approach.

Keywords

Cite

@article{arxiv.1309.5242,
  title  = {Radial sign-changing solutions to biharmonic nonlinear Schr\"odinger equations},
  author = {Marcos T. O. Pimenta},
  journal= {arXiv preprint arXiv:1309.5242},
  year   = {2017}
}

Comments

The paper has been withdrawn by the author due to a crucial error in the main argument