Existence and symmetry of solutions to 2-D Schrödinger-Newton equations

DOI10.4310/DPDE.2021.V18.N2.A3zbMath1466.35211arXiv2007.12907OpenAlexW3161069135WikidataQ115203627 ScholiaQ115203627MaRDI QIDQ2032361

Yang Zhang, Wei Dai, Dao-Min Cao

Publication date: 11 June 2021

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.12907

zbMATH Keywords

existence of solutionsvariational methodsSchrödinger-Poisson systemsSchrödinger-Newton equations

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (7)

Another look at planar Schrödinger-Newton systems ⋮ Classification of Solutions to Conformally Invariant Systems with Mixed Order and Exponentially Increasing or Nonlocal Nonlinearity ⋮ Existence of axially symmetric solutions for the planar Schrödinger-Newton equations with critical exponential growth ⋮ Fractional Choquard logarithmic equations with Stein-Weiss potential ⋮ Group invariant solutions for the Planar Schrödinger-Poisson equations ⋮ A planar Schrödinger-Newton system with Trudinger-Moser critical growth ⋮ On a planar Schrödinger–Poisson system involving a non-symmetric potential

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