Wang, JunQu, MengmengXiao, Lu2022-01-242022-01-242018-03-07Wang, J., Qu, M., & Xiao, L. (2018). Existence of positive solutions to the nonlinear Choquard equation with competing potentials. <i>Electronic Journal of Differential Equations, 2018</i>(63), pp. 1-21.1072-6691https://hdl.handle.net/10877/15204This article concerns the existence of positive solutions of the non-linear Choquard equation -∆u + α(x)u = b(x) (1/|x| ⁎ |u|2)u, u ∈ H1(ℝ3), where the coefficients α and b are positive functions such that α(x) → κ∞ and b(x) → μ∞ as |x| → ∞. By comparing the decay rate of the coefficients α and b, we prove the existence of positive ground and bound stat solutions of Choquard equation.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalPositive solutionsChoquard equationCompeting coefficientsVariational methodsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.