Year: 2025
Author: Qihan He, Yafei Li, Yanfang Peng
Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 1 : pp. 61–79
Abstract
In this paper, we study the following coupled nonlinear logarithmic Hartree
system
where $β,\mu_i,λ_i$ ($i=1,2$) are positive constants, ∗ denotes the convolution in $\mathbb{R}^2.$ By
considering the constraint minimum problem on the Nehari manifold, we prove the
existence of ground state solutions for $β > 0$ large enough. Moreover, we also show
that every positive solution is radially symmetric and decays exponentially.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v38.n1.4
Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 1 : pp. 61–79
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Hartree system Logarithmic convolution potential ground state solution radial symmetry.