Results 31 to 40 of about 31,354 (258)
Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
Advances in Nonlinear Analysis, 2022 In the present paper, a class of Schrödinger equations is investigated, which can be stated as −Δu+V(x)u=f(u), x∈ℝN.- \Delta u + V(x)u = f(u),\;\;\;\;x \in {{\rm{\mathbb R}}^N}.
Li Gui-Dong, Li Yong-Yong, Tang Chun-Lei
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A Bibliometric Analysis of Publications in Uremic Toxins From 1991 to 2024
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Uremic toxins are a growing area of research in nephrology, with significant implications in the progression and treatment of chronic kidney disease (CKD) and the management of end‐stage kidney disease (ESKD). This bibliometric analysis aims to evaluate the global research trends, key contributors, and the impact of publications in ...
Yuh‐Shan Ho +7 more
wiley +1 more source
Existence of radial sign-changing solution for a fractional autonomous Kirchhoff equation
四川大学学报. 自然科学版, 2020 The existence of sign-changing solutions for a fractional autonomous Kirchhoff equation is considered in the whole space. We prove that this equation is equivalent to a fractional autonomous Schr&odinger system under appropriate conditions.
ZHANG Dan-dan, DING Ling
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction This study investigated the safety and efficacy of single‐needle Rheocarna therapy for chronic limb‐threatening ischemia (CLTI) with wounds. Methods Six patients with CLTI involving ulcers unresponsive to revascularization underwent single‐needle Rheocarna treatment.
Yasutaka Yamauchi +9 more
wiley +1 more source
Least energy sign-changing solutions for Kirchhoff–Poisson systems
Boundary Value Problems, 2019 The paper deals with the following Kirchhoff–Poisson systems: 0.1 {−(1+b∫R3|∇u|2dx)Δu+u+k(x)ϕu+λ|u|p−2u=h(x)|u|q−2u,x∈R3,−Δϕ=k(x)u2,x∈R3, $$ \textstyle\begin{cases} - ( {1+b\int _{{\mathbb{R}}^{3}} { \vert \nabla u \vert ^{2}\,dx} } ) \Delta u+u+k(x)\phi
Guoqing Chai, Weiming Liu
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Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
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Sign-changing solutions for asymptotically linear Schr\"odinger equation in bounded domains
Electronic Journal of Differential Equations, 2016 In this article we study the Schrodinger equation $$ -\Delta u=f(x,u),\quad x\in\Omega, \quad u\in H_0^1(\Omega), $$ where $\Omega$ is a bounded domain in $\mathbb{R}^N$ and f(x,u) is asymptotically linear at infinity with respect to u.
Sitong Chen, Yinbin Li, Xianhua Tang
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Ground state sign-changing solutions for semilinear Dirichlet problems
Boundary Value Problems, 2018 In the present paper, we consider the existence of ground state sign-changing solutions for the semilinear Dirichlet problem 0.1 {−△u+λu=f(x,u),x∈Ω;u=0,x∈∂Ω, $$ \left \{ \textstyle\begin{array}{l@{\quad}l} -\triangle u+\lambda u=f(x, u), & \hbox{$x\in ...
Xiaoyan Lin, Xianhua Tang
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FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source
Electronic Journal of Differential Equations, 2017 In this article, we study the problem $$ -\operatorname{div}(K(x)\nabla u)=a(x)K(x)|u|^{q-2}u+b(x)K(x)|u|^{2^{\ast}-2}u, \quad x\in \mathbb{R}^N, $$ where $2^{\ast}=2N/(N-2)$, $N\geq3 ...
Xiaotao Qian, Jianqing Chen
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