Results 21 to 30 of about 136,279 (261)
Advanced Nonlinear Studies, 2021 The main purpose of this paper is to establish the existence of ground-state solutions to a class of Schrödinger equations with critical exponential growth involving the nonnegative, possibly degenerate, potential V:
Chen Lu, Lu Guozhen, Zhu Maochun
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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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Ground state solutions for quasilinear Schrödinger systems
Journal of Mathematical Analysis and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Yuxia, Tang, Zhongwei
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Ground state solutions for a diffusion system
Computers & Mathematics with Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Wen, Tang, Xianhua, Zhang, Jian
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Ground state solutions for asymptotically periodic fractional Choquard equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 This paper is dedicated to studying the following fractional Choquard equation \begin{equation*} (-\triangle)^s u+V(x)u=\left(\int_{\mathbb{R}^N}\frac{Q(y)F(u(y))}{|x-y|^\mu}\mathrm{d}y\right)Q(x)f(u), \qquad u\in H^s(\mathbb{R}^{N}), \end{equation*
Sitong Chen, Xianhua Tang
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Quasilinear Schrödinger equations : ground state and infinitely many normalized solutions
Pacific Journal of Mathematics, 2023 In the present paper, we study the normalized solutions for the following quasilinear Schrödinger equations: $$-Δu-uΔu^2+λu=|u|^{p-2}u \quad \text{in}~\mathbb R^N,$$ with prescribed mass $$\int_{\mathbb R^N} u^2=a^2.$$ We first consider the mass-supercritical case $p>4+\frac{4}{N}$, which has not been studied before.
Li, Houwang, Zou, Wenming
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Ground state solutions for diffusion system with superlinear nonlinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we study the following diffusion system \begin{equation*} \begin{cases} \partial_{t}u-\Delta_{x} u +b(t,x)\cdot \nabla_{x} u +V(x)u=g(t,x,v),\\ -\partial_{t}v-\Delta_{x} v -b(t,x)\cdot \nabla_{x} v +V(x)v=f(t,x,u) \end{cases} \end ...
Zhiming Luo, Jian Zhang, Wen Zhang
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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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Concentration of ground state solutions for fractional Hamiltonian systems [PDF]
Topological Methods in Nonlinear Analysis, 2017 In this paper we are concerned with the existence of ground states solutions for the following fractional Hamiltonian systems $$ \left\{ \begin{array}{ll} -_tD^\alpha_\infty(_{-\infty}D^\alpha_t u(t)) - \lambda L(t)u(t)+\nabla W(t,u(t))=0,\\[0.1cm] u \in H^\alpha (\mathbb{R},\mathbb{R}^n), \end{array} \right.\qquad(\hbox{FHS})_\lambda$$ where $\alpha ...
Torres, César, Zhang, Ziheng
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Asymptomatic infection poses a significant risk for children undergoing hematopoietic stem cell transplantation (HSCT). Pre‐transplant surveillance computed tomography (CT) is commonly used to identify occult infection, though its diagnostic yield remains uncertain.
Tyler Obermark +9 more
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