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

DOI10.1007/s11854-009-0023-2zbMath1187.35234arXiv0802.0578OpenAlexW2156456708MaRDI QIDQ1031823

Veronica Felli

Publication date: 2 November 2009

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0578

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40)

Related Items (9)

Ground states of nonlinear Schrödinger equations with sum of periodic and inverse-square potentials ⋮ Ground states for a system of nonlinear Schrödinger equations with singular potentials ⋮ Ground state solutions for Choquard equations with Hardy potentials and critical nonlinearity ⋮ Dirichlet problems involving the Hardy-Leray operators with multiple polars ⋮ Ground state solutions and decay estimation of Choquard equation with critical exponent and dipole potential ⋮ Existence and asymptotic behavior of ground state solutions for asymptotically linear Schrödinger equation with inverse square potential ⋮ Ground state solutions for Hamiltonian elliptic system with inverse square potential ⋮ Non-Nehari manifold method for Hamiltonian elliptic system with Hardy potential: existence and asymptotic properties of ground state solution ⋮ Ground states of \(K\)-component coupled nonlinear Schrödinger equations with inverse-square potential

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