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

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

2008-02-05

arxiv.org/abs/0802.0578v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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