On a planar non-autonomous Schrödinger-Poisson system involving exponential critical growth

DOI10.1007/s00526-020-01902-6zbMath1459.35146OpenAlexW3124527136WikidataQ115386871 ScholiaQ115386871MaRDI QIDQ2226027

Jonison L. Carvalho, Giovany M. Figueiredo, Francisco S. B. Albuquerque, Everaldo S. Medeiros

Publication date: 11 February 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-020-01902-6

zbMATH Keywords

Schrödinger-Poisson systemexistence of a ground state solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) 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 (16)

Another look at planar Schrödinger-Newton systems ⋮ Quasilinear logarithmic Choquard equations with exponential growth in \(\mathbb{R}^N\) ⋮ Schrödinger equations in \(\mathbb{R}^2\) with critical exponential growth and concave nonlinearities ⋮ Critical gauged Schrödinger equations in \(\mathbb{R}^2\) with vanishing potentials ⋮ Multiplicity and concentration of solutions to a fractional p-Laplace problem with exponential growth ⋮ Normalized solutions of Chern-Simons-Schrödinger equations with exponential critical growth ⋮ Multiplicity and concentration of solutions for a class of magnetic Schrödinger-Poisson system with double critical growths ⋮ Existence and concentration of solutions to Kirchhoff-type equations in \(\mathbb{R}^2\) with steep potential well vanishing at infinity and exponential critical nonlinearities ⋮ Fractional Choquard logarithmic equations with Stein-Weiss potential ⋮ A planar Schrödinger-Poisson system with vanishing potentials and exponential critical growth ⋮ A planar Schrödinger-Newton system with Trudinger-Moser critical growth ⋮ Unnamed Item ⋮ Multiplicity and concentration of solutions to a fractional \((p,p_1)\)-Laplace problem with exponential growth ⋮ On a planar Choquard equation involving exponential critical growth ⋮ Unnamed Item ⋮ On a quasilinear logarithmic \(N\)-dimensional equation involving exponential growth

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