Search Results - "Li, Benniao"

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  1. 1

    Infinitely many dichotomous solutions for the Schrödinger-Poisson system by He, Yuke, Li, Benniao, Long, Wei

    Published in Science China. Mathematics (2024)
    “…In this paper, we consider the following Schrödinger-Poisson system where ε is a small parameter, , N ∈ [3, 6], and V ( x ) and K ( x ) are potential functions…”
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    Journal Article
  2. 2

    Two Solutions for Fractional Elliptic Systems by Aissaoui, Narimane, Li, Benniao, Long, Wei

    Published in Acta applicandae mathematicae (01-04-2022)
    “…In this paper, we are concerned with the following system linearly coupled by nonlinear fractional elliptic equations P { ( − Δ ) s u + λ s u = | u | 2 s ∗ − 2…”
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    Journal Article
  3. 3

    Uniqueness of positive bound states with multiple bumps for Schrödinger–Poisson system by Li, Benniao, Long, Wei, Tang, Zhongwei, Yang, Jinge

    “…In this paper, we are concerned with the uniqueness of multi-bump solutions for the following Schrödinger–Poisson system 0.1 - ε 2 Δ u + Q ( x ) u + Ψ ( x ) u…”
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    Journal Article
  4. 4

    Dichotomous concentrating solutions for a Schrödinger–Newton equation by Ding, Hui-Sheng, Hu, Mengmeng, Li, Benniao

    “…This paper is concerned with the following Schrödinger–Newton equation - ε 2 Δ u + V ( x ) u = 1 ε 2 ∫ R 3 u 2 y x - y d y u , x ∈ R 3 , where ε is a positive…”
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    Journal Article
  5. 5

    Exact number of single bubbling solutions for elliptic problems of Ambrosetti–Prodi type by Guo, Yuxia, Li, Benniao, Yan, Shusen

    “…In this paper, we will study the local uniqueness of single bubbling solutions for elliptic problems of Ambrosetti–Prodi type with critical growth in a unit…”
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  6. 6

    Non-degeneracy of multi-peak solutions for the Schrödinger-Poisson problem by Chen, Lin, Ding, Hui-Sheng, Li, Benniao, Ye, Jianghua

    Published in Advanced nonlinear studies (09-07-2023)
    “…In this article, we consider the following Schrödinger-Poisson problem: where is a small parameter, , and is a potential function. We construct multi-peak…”
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  7. 7

    Concentration on the Clifford torus for the critical problem in an annulus by Deng, Shengbing, Li, Benniao

    Published in Journal of Differential Equations (15-08-2023)
    “…In this paper, we are concerned with the existence of solutions for the following critical elliptic problem:(P){−Δu=|u|4N−2u, in Ω,u=0, on ∂Ω. where…”
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    Journal Article
  8. 8

    A Ground State Solution to the Chern-Simons-Schrödinger System by Deng, Jin, Li, Benniao

    Published in Acta mathematica scientia (01-09-2022)
    “…In this paper, we consider the Chern-Simons-Schrödinger system where u ∈ H 1 (ℝ 2 ), p ∈ (2, 4), A α : ℝ2 → ℝ are the components of the gauge potential (α = 0,…”
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  9. 9

    Lazer-McKenna Conjecture for fractional problems involving critical growth by Li, Benniao, Long, Wei, Tang, Zhongwei

    Published in Journal of Differential Equations (15-04-2024)
    “…In this paper, the fractional problem of the Ambrosetti-Prodi type involving the critical Sobolev exponent is taken into account in a bounded domain of…”
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    Journal Article
  10. 10

    Normalized solutions for nonlinear Schrödinger equations involving mass subcritical and supercritical exponents by Guo, Qidong, He, Rui, Li, Benniao, Yan, Shusen

    Published in Journal of Differential Equations (25-12-2024)
    “…We study nonlinear Schrödinger equation −Δu+(λ+V(y))u=upε−1 in RN, with prescribed mass ∫RNu2=a, where λ is a Lagrange multiplier, V(y) is a real-valued…”
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    Journal Article
  11. 11

    The fractional Brezis-Nirenberg problems on lower dimensions by Guo, Yuxia, Li, Benniao, Pistoia, Angela, Yan, Shusen

    Published in Journal of Differential Equations (15-06-2021)
    “…In this paper, we study the following problem(P){(−Δ)su=|u|2s⁎−2u+λu, in Ω,u=0, in RN∖Ω, where 2s⁎=2NN−2s, s>12, Ω is a bounded domain in RN, N>2s. We first…”
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  12. 12

    Existence of multi-bump solutions for the Schrödinger-Poisson system by Ding, Hui-Sheng, Li, Benniao, Ye, Jianghua

    “…This paper deals with the existence of solutions for the following Schrödinger-Poisson system{−Δu+u+βV(x)Φu=|u|p−1u,x∈RN,−ΔΦ=(N−2)ωN−1V(x)u2,x∈RN, where β is a…”
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  13. 13

    A GROUND STATE SOLUTION TO THE CHERN-SIMONS-SCHR?DINGER SYSTEM by Jin DENG, Benniao LI

    Published in 数学物理学报(英文版) (2022)
    “…In this paper,we consider the Chern-Simons-Schr?dinger…”
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  14. 14

    Infinitely many new solutions for singularly perturbed Schr\"{o}dinger equations by Li, Benniao, Long, Wei, Yang, Jianfu

    Published 27-11-2023
    “…This paper deals with the existence of solutions for the following perturbed Schr\"{o}dinger equation \begin{equation*} -\varepsilon^{2} \Delta u + V(x)u=…”
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  15. 15

    Infinitely many non-radial solutions to a critical equation on annulus by Guo, Yuxia, Li, Benniao, Pistoia, Angela, Yan, Shusen

    Published 05-04-2018
    “…In this paper, we build infinitely many non-radial sign-changing solutions to the critical problem: \begin{equation*} \left\{\begin{array}{rlll} -\Delta…”
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