Results 11 to 20 of about 95 (88)
A nontrivial solution for a nonautonomous Choquard equation with general nonlinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2022 With the help of the monotonicity trick, a nonautonomous Choquard equations with general nonlinearity is studied and a nontrivial solution is obtained.
Ling Ding, Jiu Liu, Yan-Xiang Yuan
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Ground states of coupled critical Choquard equations with weighted potentials [PDF]
Opuscula Mathematica, 2022 In this paper, we are concerned with the following coupled Choquard type system with weighted potentials \[\begin{cases} -\Delta u+V_{1}(x)u=\mu_{1}(I_{\alpha}\!\ast\![Q(x)|u|^{\frac{N+\alpha}{N}}])Q(x)|u|^{\frac{\alpha}{N}-1}u+\beta(I_{\alpha}\!\ast\![Q(
Gaili Zhu +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we study the following quasilinear Schrödinger equation \begin{equation*} \begin{split} -\Delta u&+V(x)u-\kappa u\Delta(u^2)+\mu\frac{h^2(|x|)}{|x|^2}(1+\kappa u^2)u\\ &+\mu\left(\int_{|x|}^{+\infty}\frac{h(s)}{s}(2+\kappa u^2(s))u^2(s ...
Yingying Xiao, Chuanxi Zhu
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On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential
Studies in Applied Mathematics, Volume 150, Issue 1, Page 92-118, January 2023., 2023 Abstract We consider the nonlinear Schrödinger equation with a harmonic potential in the presence of two combined energy‐subcritical power nonlinearities. We assume that the larger power is defocusing, and the smaller power is focusing. Such a framework includes physical models, and ensures that finite energy solutions are global in time.
Rémi Carles, Yavdat Il'yasov
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Ground states solutions for some non-autonomous Schrödinger-Bopp-Podolsky system
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper we study the existence of ground states solutions for non-autonomous Schrödinger–Bopp–Podolsky system \begin{equation*} \begin{cases} -\Delta u + u +\lambda K(x)\phi u = b(x)|u|^{p-2}u & \text{in} \ \mathbb{R}^{3}, \\ -\Delta ...
Chun-Rong Jia, Lin Li, Shang-Jie Chen
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Health &Social Care in the Community, Volume 2023, Issue 1, 2023., 2023 Carer‐employees (CEs) are unpaid carers who are simultaneously working in paid employment. Workplace stress often compounds with caregiving stress to cause negative health effects for CEs. This analysis investigates cross‐sectional data of the 2018 Canadian General Social Survey (GSS) to determine whether CEs who experienced work interferences (WIs ...
Joy Yang +3 more
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Ground-State Solutions for a Class of N-Laplacian Equation with Critical Growth
Abstract and Applied Analysis, 2012 We investigate the existence of ground-state solutions for a class of N-Laplacian equation with critical growth in ℝN. Our proof is based on a suitable Trudinger-Moser inequality, Pohozaev-Pucci-Serrin identity manifold, and mountain pass lemma.
Guoqing Zhang, Jing Sun
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Existence and Nonexistence of Positive Solutions for a Weighted Quasilinear Elliptic System
Journal of Mathematics, 2023 This paper deals with the existence and nonexistence of solutions for the following weighted quasilinear elliptic system, Sμ1,μ2q1,q2−divq1x∇up−2∇u=μ1up−2u+α+1uα−1uvβ+1in Ω−divq2x∇vp−2∇v=μ2vp−2v+β+1uα+1vβ−1vin Ωu>0, v>0in Ωu=v=0on ∂Ω , where Ω⊂ℜNN≥3,2 ...
Yamina Hamzaoui +2 more
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Electronic Journal of Differential Equations, 2021 In this article, we consider the multiplicity of solutions for nonhomogeneous Schrodinger-Poisson systems under the Berestycki-Lions type conditions.
Lan-Xin Huang +2 more
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Ground State Solutions of Fractional Choquard Problems with Critical Growth
Fractal and Fractional, 2023 In this article, we investigate a class of fractional Choquard equation with critical Sobolev exponent. By exploiting a monotonicity technique and global compactness lemma, the existence of ground state solutions for this equation is obtained.
Jie Yang, Hongxia Shi
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