A class of nonlinear Schrödinger 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 ℝ^N and in bounded domains
Felli, V. (2009). On the existence of ground state solutions to nonlinear Schrödinger equations with multisingular inverse-square anisotropic potentials. JOURNAL D'ANALYSE MATHEMATIQUE, 108(1), 189-217 [10.1007/s11854-009-0023-2].
On the existence of ground state solutions to nonlinear Schrödinger equations with multisingular inverse-square anisotropic potentials
FELLI, VERONICA
2009
Abstract
A class of nonlinear Schrödinger 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 ℝ^N and in bounded domains
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