Results 61 to 70 of about 2,146,074 (336)
Existence and uniqueness of positive solutions for Kirchhoff type beam equations
This paper is concerned with the existence and uniqueness of positive solutions for the fourth order Kirchhoff type problem \begin{equation*} \begin{cases} u''''(x)-\Big(a+b\int_0^1(u'(x))^2dx\Big)u''(x)=\lambda f(u(x)),& x\in(0,1),\\ u(0)=u(1)=u''(0)=u''
Jinxiang Wang
doaj +1 more source
A positive solution to a conjecture of A. Katok for diffeomorphism case [PDF]
In this paper, using Pesin theory and Liao theory, we give a positive solution to a conjecture of A. Katok.
arxiv
Multiple solutions for a Schrödinger-Bopp-Podolsky system with positive potentials [PDF]
In the paper we prove existence of solutions for a Schr\"odinger-Bopp-Podolsky system under positive potentials. We use the Ljusternick-Schnirelmann and Morse Theories to get multiple solutions with a priori given ``interaction energy''.
arxiv
Identification of novel small molecule inhibitors of ETS transcription factors
ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla+9 more
wiley +1 more source
Multiplicity of positive solutions for a critical quasilinear Neumann problem [PDF]
We establish the multiplicity of positive solutions to a quasilinear Neumann problem in expanding balls and hemispheres with critical exponent in the boundary condition.
arxiv
Singular solutions of fully nonlinear elliptic equations and applications [PDF]
We study the properties of solutions of fully nonlinear, positively homogeneous elliptic equations near boundary points of Lipschitz domains at which the solution may be singular. We show that these equations have two positive solutions in each cone of $\mathbb{R}^n$, and the solutions are unique in an appropriate sense.
arxiv +1 more source
Evolution equations with eventually positive solutions [PDF]
We discuss linear autonomous evolution equations on function spaces which have the property that a positive initial value leads to a solution which initially changes sign, but then becomes - and stays - positive again for sufficiently large times. This eventual positivity phenomenon has recently been discovered for various classes of differential ...
arxiv
In lymphoid organs, antigen recognition and B cell receptor signaling rely on integrins and the cytoskeleton. Integrins act as mechanoreceptors, couple B cell receptor activation to cytoskeletal remodeling, and support immune synapse formation as well as antigen extraction.
Abhishek Pethe, Tanja Nicole Hartmann
wiley +1 more source
The number of circulating tumor cells obtained from prostate cancer patients was increased approximately 5‐fold compared to regular CellSearch when processing 2 mL diagnostic leukapheresis material aliquots and increased by 44‐fold when processing 20 mL DLA aliquots using the flow enrichment target capture Halbach‐array.
Michiel Stevens+8 more
wiley +1 more source
Positive solutions for a nonlocal problem with singularity
In this article we study a nonlocal problem involving singular nonlinearity. Based on the variational and perturbation methods, we obtain the existence of two positive solutions for this problem.
Chun-Yu Lei, Chang-Mu Chu, Hong-Min Suo
doaj