Results 111 to 120 of about 3,531,413 (264)
Mathematical Inequalities & Applications, 2014 Let B(R)⊂Rn , n 2 , be an open ball. By a result from [1], the Moser functional with the borderline exponent from the Moser inequality fails to be sequentially weakly continuous on the set of radial functions from the unit ball in W 1,n 0 (B(R)) only in the exceptional case of sequences acting like a concentrating Moser sequence (in particular, these ...
openaire +1 more source
FEBS Open Bio, EarlyView.We describe detailed protocols for the purification and preparation of Marchantia polymorpha Auxin Response Factor 2 (MpARF2). This protein is fused to an MBP solubility tag and an mNG fluorescent tag and is purified from Escherichia coli. The presented procedures make it possible to study MpARF2 assemblies, which could arise from phase separation ...
Bas Janssen +5 more
wiley +1 more source
Combined effects of changing-sign potential and critical nonlinearities in Kirchhoff type problems
Electronic Journal of Differential Equations, 2016 In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type problems involving changing-sign potential and critical growth terms.
Gao-Sheng Liu, Liu-Tao Guo, Chun-Yu Lei
doaj
Existence of solutions for logarithmic Kirchhoff equation without compactness in $\mathbb{R}^3$
Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we investigate the logarithmic Kirchhoff-type equation \begin{align*} -\left(a+b\int_{\mathbb R^3}|\nabla u|^2 \mathrm{d}x\right)\Delta u+V(x)u=|u|^{p-2}u\log |u|, \quad x\in\mathbb {R}^3, \end{align*} where $a,b>0$ are constants,
Min Li, Libo Wang, Lihong Bao
doaj +1 more source
Heterotropic regulation and negative homotropic cooperativity
FEBS Open Bio, EarlyView.We identified a structural module common to some proteins that couple negative cooperativity with heterotropic regulation, two features that rarely coexist. These proteins are ring‐like and present an ordered asymmetry whereby noncontacting subunits are symmetric, and their tertiary structure differs from that of contacting subunits.
Veronica Morea +5 more
wiley +1 more source
Compactness for $GSBV^p$ via concentration-compactness [PDF]
Motivated by variational models for fracture, we provide a new proof of compactness for $GSBV^p$ functions without a priori bounds on the function itself.
Feldman, William M, Stinson, Kerrek
core +1 more source
Fractional minimization problem on the Nehari manifold
Electronic Journal of Differential Equations, 2018 In the framework of fractional Sobolev space, using Nehari manifold and concentration compactness principle, we study a minimization problem in the whole space involving the fractional Laplacian.
Mei Yu, Meina Zhang, Xia Zhang
doaj
FEBS Open Bio, EarlyView.Research is strongest when conducted alongside patients, not just about them. Patient research organizations help integrate patient perspectives into research priorities, study design, and scientific meetings, leading to meaningful patient outcomes and development of relevant therapies.
Jenica H. Kakadia +9 more
wiley +1 more source
Rellich-type Discrete Compactness for Some Discontinuous Galerkin FEM [PDF]
We deduce discrete compactness of Rellich type for some discontinuous Galerkin finite element methods (DGFEM) including hybrid ones, under fairly general settings on the triangulations and the finite element spaces.
KIKUCHI, Fumio
core
Existence and concentration of solutions for a p-laplace equation with potentials in R^N
Electronic Journal of Differential Equations, 2010 We study the p-Laplace equation with Potentials $$ -hbox{div}(| abla u|^{p-2} abla u)+lambda V(x)|u|^{p-2}u=|u|^{q-2}u, $$ $uin W^{1,p}(mathbb{R}^N)$, $xin mathbb{R}^N$ where $2leq p$, $p<q<p^{*}$. Using a concentration-compactness principle
Mingzhu Wu, Zuodong Yang
doaj