Results 41 to 50 of about 4,806,032 (244)
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
doaj
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction This final analysis of a multicenter, prospective postmarketing surveillance study evaluated the safety of daprodustat in patients with chronic kidney disease anemia in routine clinical practice in Japan. Methods Patients who initiated daprodustat between September 2020 and July 2022 were registered.
Tadao Akizawa +7 more
wiley +1 more source
Sign-changing solutions for some nonlinear problems with strong resonance [PDF]
, 2011 By means of critical point and index theories, we obtain the existence and multiplicity of sign-changing solutions for some elliptic problems with strong resonance at infinity, under weaker conditions.
Qian Aixia, Aixia Qian
core +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
doaj
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, $$ \textstyle\begin{cases} - ( {1+b\int _{{\mathbb{R}}^{3}} { \vert \nabla u \vert ^{2}\,dx} } ) \Delta u+u+k(x)\phi
Guoqing Chai, Weiming Liu
doaj +1 more source
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin +2 more
wiley +1 more source
Nontrivial Solutions for Periodic Schrödinger Equations with Sign-Changing Nonlinearities [PDF]
, 2020 We prove a new infinite-dimensional linking theorem. Using this theorem, we obtain nontrivial solutions for strongly indefinite periodic Schrödinger equations with sign-changing ...
Lishan Lin, Shaowei Chen, Liqin Xiao
core
Least energy sign-changing solutions for nonlinear problems involving fractional Laplacian
Electronic Journal of Differential Equations, 2016 In this article, we study the existence of least energy sign-changing solutions for nonlinear problems involving fractional Laplacian. By introducing some new ideas and combining constraint variational method with the quantitative deformation lemma ...
Zu Gao, Xianhua Tang, Wen Zhang
doaj
Sign-Changing Solutions for the Fractional Choquard Equation
AxiomsWe study a class of fractional Choquard equation with continuous potential. This equation is a doubly nonlocal problem which has two nonlocal term: fractional Laplacian operator and convolution term. Using variaotional metheod and some estimates, we give
Ying-Xin Cui, Qiaoyan Li
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Ground state sign-changing solutions for semilinear Dirichlet problems
Boundary Value Problems, 2018 In the present paper, we consider the existence of ground state sign-changing solutions for the semilinear Dirichlet problem 0.1 {−△u+λu=f(x,u),x∈Ω;u=0,x∈∂Ω, $$ \left \{ \textstyle\begin{array}{l@{\quad}l} -\triangle u+\lambda u=f(x, u), & \hbox{$x\in ...
Xiaoyan Lin, Xianhua Tang
doaj +1 more source