Results 31 to 40 of about 814,404 (292)
Mountain Passes and Saddle Points
SIAM Review, 2015 Summary: Variational methods find solutions of equations by considering a solution as a critical point of an appropriately chosen function. Local minima and maxima are well-known types of critical points. We explore methods for finding critical points that are neither local maxima or minima, but instead are mountain passes or saddle points.
openaire +3 more sources
Boundary Value Problems, 2018 In this paper, we concern with the following Schrödinger-Poisson system: {−Δu+ϕu=f(x,u),x∈Ω,−Δϕ=u2,x∈Ω,u=ϕ=0,x∈∂Ω, $$ \textstyle\begin{cases} -\Delta u+\phi u = f(x,u) , & x\in\Omega,\\ -\Delta\phi=u^{2}, & x\in\Omega,\\ u=\phi=0, & x \in\partial\Omega, \
Belal Almuaalemi +2 more
doaj +1 more source
Cylinder Buckling: The Mountain Pass as an Organizing Center [PDF]
SIAM Journal on Applied Mathematics, 2006 We revisit the classical problem of the buckling of a long thin axially compressed cylindrical shell. By examining the energy landscape of the perfect cylinder we deduce an estimate of the sensitivity of the shell to imperfections. Key to obtaining this is the existence of a mountain pass point for the system.
Jirí Horák +2 more
openaire +3 more sources
The intrinsic mountain pass principle [PDF]
Topological Methods in Nonlinear Analysis, 1998 The celebrated mountain pass principle of Ambrosetti and Rabinowitz is one of the most important tools in nonlinear analysis for proving the existence of critical points of \(C^1\) real functionals. The authors establish in this paper a general mountain pass principle, dropping any smoothness or even continuity assumptions on the functional.
Ribarska, Nadezhda +2 more
openaire +3 more sources
Evaluating the involvement of autolysosomes in the nuclear translocation of fluorescent proteins
FEBS Open Bio, EarlyView.Endogenously expressed fluorescent proteins can be degraded by autophagy and transported to cell nuclei via the nuclear pore complex. But in some cell lines, for example, HeLa cells which are positive for immunoreactivity of a receptor ligand, such as UCN I, in cell nuclei, fusion of autolysosome with the nuclear envelope is involved in the nuclear ...
Keiichi Ikeda
wiley +1 more source
Applied SciencesLong-term dam safety assessment relies on continuous monitoring data from multiple spatially distributed measurement points. However, monitoring data are affected by measurement noise, environmental disturbances, and model errors, while the spatial ...
Guangze Shen +4 more
doaj +1 more source
The Role of Calcitonin Gene‐Related Peptide in High‐Altitude Headache: A Prospective Field Study
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective High‐altitude headache (HAH) is a common neurological condition associated with rapid ascent to high altitude. The pathophysiological mechanisms underlying HAH remain incompletely understood. Calcitonin gene‐related peptide (CGRP), a neuropeptide implicated in migraine pathophysiology, may play a key role in the pathophysiology of ...
Roman Schniepp +4 more
wiley +1 more source
Low‐Pressure Plasma‐Based Wrinkling of PDMS and Machine Learning‐Driven Property Engineering
Advanced Materials Technologies, EarlyView.Wrinkled surfaces are well‐suited for controlled surface deformations in the µm range. The key challenge is the relation between the resulting wrinkle features and the necessary process conditions. Machine learning techniques have solved the prediction and inverse design problems for various preparation conditions, opening a precisely controlled ...
Fabian Kopsch +7 more
wiley +1 more source
Nontrivial Solutions for Asymmetric Kirchhoff Type Problems
Abstract and Applied Analysis, 2014 We consider a class of particular Kirchhoff type problems with a right-hand side nonlinearity which exhibits an asymmetric growth at +∞ and −∞ in ℝN(N=2,3). Namely, it is 4-linear at −∞ and 4-superlinear at +∞.
Ruichang Pei, Jihui Zhang
doaj +1 more source
GENERAL QUASILINEAR PROBLEMS INVOLVING \(p(x)\)-LAPLACIAN WITH ROBIN BOUNDARY CONDITION
Ural Mathematical Journal, 2020 This paper deals with the existence and multiplicity of solutions for a class of quasilinear problems involving \(p(x)\)-Laplace type equation, namely $$ \left\{\begin{array}{lll} -\mathrm{div}\, (a(| \nabla u|^{p(x)})| \nabla u|^{p(x)-2} \nabla u ...
Hassan Belaouidel +2 more
doaj +1 more source