Results 111 to 120 of about 4,640 (267)
The Concentration-Compactness Principle in the Calculus of Variations. (The limit case, Part I.)
, 1985 After the study made in the locally compact case for variational problems with some translation invariance, we investigate here the variational problems (with constraints) for example in RN where the invariance of RN by the group of dilatations creates ...
Lions, Pierre-Louis
core
FEBS Open Bio, EarlyView.IGFBP4 knockdown (KD) impairs preadipocyte proliferation and is associated with IGF1R protein downregulation and attenuated AKT phosphorylation. The mechanisms by which IGFBP4 KD influences the IGF1R/AKT signaling pathway involve newly synthesized proteins and lysosomal degradation pathways. Created in BioRender.
Yujia Guo +6 more
wiley +1 more source
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
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
Concentration-compactness type principle for systems with critical terms in RN
In this paper, we obtain some important variants of the Lions and Chabrowski Concentration-compactness principle, for nonlinear systems in the context of fractional Sobolev spaces with variable exponents.
E.J. Hurtado +5 more
core +1 more source
MagmaFlow: A desktop platform for artificial intelligence‐driven expression analysis
FEBS Open Bio, EarlyView.MagmaFlow is a free, no‐code platform for gene expression analysis. It generates interactive volcano plots, links genes to literature, pathways, and diseases, prioritizes candidates using millions of publications, identifies affected biological processes, builds network diagrams, and exports publication‐ready figures and reports for macOS and Windows ...
Carlos E. Buss +7 more
wiley +1 more source
Clustering Algorithm Reveals Dopamine‐Motor Mismatch in Cognitively Preserved Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore the relationship between dopaminergic denervation and motor impairment in two de novo Parkinson's disease (PD) cohorts. Methods n = 249 PD patients from Parkinson's Progression Markers Initiative (PPMI) and n = 84 from an external clinical cohort.
Rachele Malito +14 more
wiley +1 more source
四川大学学报. 自然科学版, 2018 Under the suitable ranges of parameters and given assumptions, by using Ekeland variations principle、mountain pass lemma、concentration compactness lemma and some analysis techniques, Kirchhoff-type equations with critical exponents and nonhomogeneous ...
Ding Ling, WANG Ji-Xiu, ZHANG Dan-Dan
doaj
The Concentration-Compactness Principle in the Calculus of Variations. (The limit case, Part. II.)
, 1985 This paper is the second part of a work devoted to the study of variational problems (with constraints) in functional spaces defined on domains presenting some (local) form of invariance by a non-compact group of transformations like the dilations in RN.
Lions, Pierre-Louis
core
Degenerate elliptic inequalities with critical growth
, 2007 This article is motivated by the fact that very little is known about variational inequalities of general principal differential operators with critical growth.The concentration compactness principle of P.L. Lions [P.L.
Fang, Ming
core +1 more source