Results 71 to 80 of about 7,949 (154)

Soliton solutions for a quasilinear Schrodinger equation

Electronic Journal of Differential Equations, 2013
In this article, critical point theory is used to show the existence of nontrivial weak solutions to the quasilinear Schrodinger equation $$ -\Delta_p u-\frac{p}{2^{p-1}}u\Delta_p(u^2)=f(x,u) $$ in a bounded smooth domain $\Omega\subset\mathbb{R}^{N}
Duchao Liu
doaj  

Multiple Solutions for Nonlocal Fourth-Order Equation with Concave–Convex Nonlinearities

Mathematics
This paper is devoted to a class of general nonlocal fourth-order elliptic equation with concave–convex nonlinearities. First, using the Z2-mountain pass theorem in critical point theory, we obtain the existence of infinitely many large energy solutions.
Ruiting Jiang, Chengbo Zhai
doaj   +1 more source

Coding for Large-Scale Distributed Machine Learning. [PDF]

Entropy (Basel), 2022
Xiao M, Skoglund M.
europepmc   +1 more source

Existence of solutions to quasilinear Schrodinger equations with indefinite potential

Electronic Journal of Differential Equations, 2015
In this article, we study the existence and multiplicity of solutions of the quasilinear Schrodinger equation $$ -u''+V(x)u-(|u| ^2)''u=f(u) $$ on $\mathbb{R}$, where the potential $V$ allows sign changing and the nonlinearity satisfies conditions
Zupei Shen, Zhiqing Han
doaj  

New existence and multiplicity of homoclinic solutions for second order non-autonomous systems

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper, we study the second order non-autonomous system \begin{eqnarray*} \ddot{u}(t)+A\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0, \ \ \forall t\in\mathbb{R}, \end{eqnarray*} where $A$ is an antisymmetric $N\times N$ constant matrix, $L\in C ...
Huiwen Chen, Zhimin He
doaj   +1 more source

An Efficient Compressive Sensing Event-Detection Scheme for Internet of Things System Based on Sparse-Graph Codes. [PDF]

Sensors (Basel), 2023
Cai J, Xu X, Zhu H, Cheng J.
europepmc   +1 more source

Numerical performance of Penalized Comparison to Overfitting for multivariate kernel density estimation

, 2019
Kernel density estimation is a well known method involving a smoothing parameter (the bandwidth) that needs to be tuned by the user. Although this method has been widely used the bandwidth selection remains a challenging issue in terms of balancing ...
Lacour, Claire, Massart, Pascal, Rivoirard, Vincent, Varet, Suzanne   +3 more
core  

BAR: Blockwise Adaptive Recoding for Batched Network Coding. [PDF]

Entropy (Basel), 2023
Yin HHF, Yang S, Zhou Q, Yung LML, Ng KH.   +4 more
europepmc   +1 more source

Variation in postoperative outcomes of patients with intracranial tumors: insights from a prospective international cohort study during the COVID-19 pandemic. [PDF]

Neuro Oncol, 2023
Poon MTC, Piper RJ, Thango N, Fountain DM, Marcus HJ, Lippa L, Servadei F, Esene IN, Freyschlag CF, Neville IS, Rosseau G, Schaller K, Demetriades AK, Robertson FC, Hutchinson PJ, Price SJ, Baticulon RE, Glasbey JC, Bhangu A, Jenkinson MD, Kolias AG, Writing Group of the COVIDSurg-Cancer neurosurgery investigators on behalf of the COVIDSurg Collaborative; British Neurosurgical Trainee Research Collaborative; WFNS Young Neurosurgeons Committee; NIHR Global Health Research Group on Acquired Brain and Spine Injury.   +21 more
europepmc   +1 more source

Infinitely Many Solutions of Superlinear Elliptic Equation

Abstract and Applied Analysis, 2013
Via the Fountain theorem, we obtain the existence of infinitely many solutions of the following superlinear elliptic boundary value problem: −Δu=f(x,u) in Ω,u=0 on ∂Ω, where Ω⊂ℝN  (N>2) is a bounded domain with smooth boundary and f is odd in u and ...
Anmin Mao, Yang Li
doaj   +1 more source