Asymptotic behavior and classification of solutions to Hartree type equations with exponential nonlinearity

DOI10.1007/s12220-023-01470-zOpenAlexW4388726028MaRDI QIDQ6143863

Yuxia Guo, Shaolong Peng

Publication date: 5 January 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-023-01470-z

zbMATH Keywords

classificationasymptotic behaviorexponential nonlinearityHartree type equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• Unnamed Item
• Exact solutions of nonlinear conformally invariant integral equations in \(\mathbf R^3\)
• Classification of positive solitary solutions of the nonlinear Choquard equation
• Regularity, symmetry, and uniqueness of some integral type quasilinear equations
• Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
• Classification of solutions of some nonlinear elliptic equations
• Classification of solutions of higher order conformally invariant equations
• On uniqueness of solutions of \(n\)-th order differential equations in conformal geometry
• A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
• Regularity and classification of solutions to static Hartree equations involving fractional Laplacians
• Classification of positive solutions to fractional order Hartree equations via a direct method of moving planes
• Remark on some conformally invariant integral equations: the method of moving spheres
• Uniqueness theorems through the method of moving spheres
• Classification of solutions to mixed order conformally invariant systems in \({\mathbb{R}}^2\)
• Classification of solutions for some elliptic system
• A necessary and sufficient condition for the nirenberg problem
• Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations
• Classification of Solutions to Conformally Invariant Systems with Mixed Order and Exponentially Increasing or Nonlocal Nonlinearity
• Classification of Solutions to Mixed Order Elliptic System with General Nonlinearity

This page was built for publication: Asymptotic behavior and classification of solutions to Hartree type equations with exponential nonlinearity