Ground state solutions for planar Schrödinger-Poisson system involving subcritical and critical exponential growth with convolution nonlinearity

DOI10.1016/j.jmaa.2020.124662zbMath1459.35135OpenAlexW3090546115WikidataQ115570231 ScholiaQ115570231MaRDI QIDQ1995732

Liejun Shen

Publication date: 25 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124662

zbMATH Keywords

existence of positive ground state solutionsplanar Schrödinger-Poisson systems

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

Related Items (4)

Schrödinger–Poisson system with zero mass and convolution nonlinearity in R 2 ⋮ Ground states for nonlinear fractional Schrödinger–Poisson systems with general convolution nonlinearities ⋮ Ground state solutions for fourth order Schrödinger equations involving \(u \Delta (u^2)\) and variable potentials ⋮ On the planar axially symmetric Schrödinger-Poisson systems with Choquard nonlinearity

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