Search Results - "Li, Benniao"
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1
Infinitely many dichotomous solutions for the Schrödinger-Poisson system
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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2
Two Solutions for Fractional Elliptic Systems
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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3
Uniqueness of positive bound states with multiple bumps for Schrödinger–Poisson system
Published in Calculus of variations and partial differential equations (01-12-2021)“…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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4
Dichotomous concentrating solutions for a Schrödinger–Newton equation
Published in Calculus of variations and partial differential equations (01-07-2023)“…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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5
Exact number of single bubbling solutions for elliptic problems of Ambrosetti–Prodi type
Published in Calculus of variations and partial differential equations (01-04-2020)“…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
Non-degeneracy of multi-peak solutions for the Schrödinger-Poisson problem
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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Concentration on the Clifford torus for the critical problem in an annulus
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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8
A Ground State Solution to the Chern-Simons-Schrödinger System
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
Lazer-McKenna Conjecture for fractional problems involving critical growth
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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10
Normalized solutions for nonlinear Schrödinger equations involving mass subcritical and supercritical exponents
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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11
The fractional Brezis-Nirenberg problems on lower dimensions
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
Existence of multi-bump solutions for the Schrödinger-Poisson system
Published in Journal of mathematical analysis and applications (15-11-2021)“…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
A GROUND STATE SOLUTION TO THE CHERN-SIMONS-SCHR?DINGER SYSTEM
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
Infinitely many new solutions for singularly perturbed Schr\"{o}dinger equations
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
Infinitely many non-radial solutions to a critical equation on annulus
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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