On a class of Hamiltonian Choquard-type elliptic systems

DOI10.1063/1.5134788zbMath1437.35395OpenAlexW2998939238WikidataQ126406842 ScholiaQ126406842MaRDI QIDQ5218787

Bráulio B. V. Maia, Olímpio Hiroshi Miyagaki

Publication date: 5 March 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5134788

zbMATH Keywords

existence of solutionsHamiltonian Choquard-type elliptic systems

Mathematics Subject Classification ID

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

Related Items (3)

On a class of singular Hamiltonian Choquard-type elliptic systems with critical exponential growth ⋮ Existence and nonexistence results for a class of Hamiltonian Choquard-type elliptic systems with lower critical growth on ℝ² ⋮ Existence of solution for a class of fractional Hamiltonian-type elliptic systems with exponential critical growth in R

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A guide to the Choquard equation
• Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• Existence of groundstates for a class of nonlinear Choquard equations in the plane
• Existence and multiplicity of solutions for nonlinear Schrödinger equations with magnetic field and Hartree type nonlinearities
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• The Choquard equation and related questions
• Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Critical and subcritical elliptic systems in dimension two
• Existence of groundstates for a class of nonlinear Choquard equations
• On the existence of solutions of Hamiltonian elliptic systems in \(\mathbb{R}^N\).

This page was built for publication: On a class of Hamiltonian Choquard-type elliptic systems