On the existence of ground state solutions to nonlinear Schoedinger equations with multisingular inverse-square anisotropic potentials

Veronica Felli

On the existence of ground state solutions to nonlinear Schoedinger equations with multisingular inverse-square anisotropic potentials

Analysis of PDEs 2008-02-06 v1

Authors: Veronica Felli

Abstract

A class of nonlinear Schroedinger equations with critical power-nonlinearities and potentials exhibiting multiple anisotropic inverse square singularities is investigated. Conditions on strength, location, and orientation of singularities are given for the minimum of the associated Rayleigh quotient to be achieved, both in the whole $\R^N$ and in bounded domains.

Keywords

nonlinear Schrödinger equations ground state solutions inverse-square potentials anisotropic singularities Rayleigh quotient critical power-nonlinearities

Cite

@article{arxiv.0802.0578,
  title  = {On the existence of ground state solutions to nonlinear Schoedinger equations with multisingular inverse-square anisotropic potentials},
  author = {Veronica Felli},
  journal= {arXiv preprint arXiv:0802.0578},
  year   = {2008}
}

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