Multiple solutions for a Schrödinger-Poisson-Slater equation with external Coulomb potential

DOI10.1007/S11425-014-4790-6zbMath1304.35247OpenAlexW2094604352MaRDI QIDQ477061

Yongsheng Jiang, Huan-Song Zhou

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4790-6

zbMATH Keywords

multiple solutionselliptic equationCoulomb potentialSchrödinger-Poisson-Slater equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) PDEs in connection with quantum mechanics (35Q40) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

Multiple solutions for the Schrödinger-Poisson equation with a general nonlinearity ⋮ Stability of ground state for the Schrödinger-Poisson equation ⋮ Sign-changing solutions for nonlinear Schrödinger-Poisson systems with subquadratic or quadratic growth at infinity ⋮ Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system with super 2-linear growth at infinity ⋮ The Wigner(–Poisson)–Fokker–Planck equation with singular potential ⋮ Ground state for the X-ray free electron laser Schrödinger equation with harmonic potential ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Non-Nehari manifold method for asymptotically periodic Schrödinger equations ⋮ Solutions to Chern-Simons-Schrödinger systems with external potential

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