Results 91 to 100 of about 14,857,533 (356)
Electronic Journal of Differential Equations, 2018 In this article, we study the Kirchhoff type problem $$ -\Big(a+\epsilon\int_{\mathbb{R}^3} K(x)|\nabla u|^2dx\Big)\hbox{div} (K(x)\nabla u)=\lambda K(x)f(x)|u|^{q-2}u+K(x)|u|^{4}u, $$ where $x\in \mathbb{R}^3$, $10$.
Xiaotao Qian, Jianqing Chen
doaj
Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems
Advances in Nonlinear Analysis, 2020 The aim of this paper is to study the existence and multiplicity of solutions for a class of fractional Kirchho problems involving Choquard type nonlinearity and singular nonlinearity.
Wang Fuliang, Hu Die, Xiang Mingqi
doaj +1 more source
Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source
Multiple perturbed solutions near nondegenerate manifolds of solutions [PDF]
, 1993 summary:The existence of multiple solutions for perturbed equations is shown near a manifold of solutions of an unperturbed equation via the Nielsen fixed point ...
Fečkan, Michal
core
Multi-interior-spike solutions for the Cahn-Hilliard equation with arbitrarily many peaks
, 2000 We study the Cahn-Hilliard equation in a bounded smooth domain without any symmetry assumptions. We prove that for any fixed positive integer K there exist interior $K$--spike solutions whose peaks have maximal possible distance from the boundary ...
Winter, M, Wei, J
core +1 more source
Weak solutions to a multi-phase field system of parabolic equations related to alloy solidification [PDF]
, 2007 Existence of weak solutions to a phase field model for solidification of alloys is studied. The model consists of balance equations for the energy and the concentrations of the alloy components which are coupled to a system of Allen-Cahn equations ...
Stinner, Björn
core +1 more source
Multiple solutions to a Dirichlet problem with p-Laplacian and nonlinearity depending on a parameter
Advances in Nonlinear Analysis, 2012 The homogeneous Dirichlet problem for an elliptic equation with p-Laplacian and concave-convex reaction term depending on a parameter is investigated.
Marano Salvatore A. +1 more
doaj +1 more source
FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
Multiple positive solutions for a p-laplacian dirichlet problem with superdiffusive reaction
, 2010 A parametric Dirichlet elliptic problem, driven by the p − Laplacian, and with a superdiffusive reaction is studied. First, it is shown that there exists a λ ∗> 0, such that for every parameter λ ≥ λ∗, the problem has a strictly positive smooth ...
Aizicovici, S +5 more
core
Electronic Journal of Differential Equations, 2018 In this article we study the perturbed fractional Schrodinger equation involving oscillatory terms $$\displaylines{ (-\Delta)^{\alpha} u+u =Q(x)\Big(f(u)+\epsilon g(u)\Big), \quad x\in \mathbb{R}^N\cr u\geq 0, }$$ where $\alpha\in (0, 1)$ and $N>
Chao Ji, Fei Fang
doaj