On a logarithmic Hartree equation

DOI10.1515/anona-2020-0028zbMath1435.35132OpenAlexW2970248964WikidataQ127314852 ScholiaQ127314852MaRDI QIDQ2008885

Federico Bernini, Dimitri Mugnai

Publication date: 26 November 2019

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0028

zbMATH Keywords

Hardy-Littlewood-Sobolev inequalityplanar Schrödinger-Poisson systemlogarithmic Hartree equationsuperlinear source

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Second-order elliptic systems (35J47)

Related Items (13)

Existence of solutions for a perturbed problem with logarithmic potential in \(\mathbb{R}^2\) ⋮ Existence of axially symmetric solutions for a kind of planar Schrödinger-Poisson system ⋮ Another look at planar Schrödinger-Newton systems ⋮ Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity ⋮ Quasilinear problems without the Ambrosetti-Rabinowitz condition ⋮ Existence of semiclassical solutions for some critical Schrödinger-Poisson equations with potentials ⋮ Least energy solutions for fractional Kirchhoff problems with logarithmic nonlinearity ⋮ The qualitative behavior for one-dimensional sixth-order Boussinesq equation with logarithmic nonlinearity ⋮ The 2-dimensional nonlinear Schrödinger-Maxwell system ⋮ A planar Schrödinger-Newton system with Trudinger-Moser critical growth ⋮ Combined effects of logarithmic and superlinear nonlinearities in fractional Laplacian systems ⋮ High perturbations of critical fractional Kirchhoff equations with logarithmic nonlinearity ⋮ The planar Schrödinger–Poisson system with a positive potential^*

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