On the lack of compactness on stratified Lie groups
In $\mathbb{R}^d$, the characterization of the \mbox{lack of compactness of the continuous Sobolev injection $ \mathring{H}^s \hookrightarrow L^p $}, with $ \displaystyle{\frac{s}{d} + \frac{1}{p} = \frac{1}{2}} $ and $\displaystyle{
Wong, Chieh-Lei
core +1 more source
Enzymatic degradation of biopolymers in amorphous and molten states: mechanisms and applications
This review explains how polymer morphology and thermal state shape enzymatic degradation pathways, comparing amorphous and molten biopolymer structures. By integrating structure–reactivity principles with insights from thermodynamics and enzyme engineering, it highlights mechanisms that enable efficient polymer breakdown.
Anđela Pustak, Aleksandra Maršavelski
wiley +1 more source
A remark on the concentration compactness principle in critical dimension [PDF]
Fengbo Hang
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This review provides an overview of bio‐based polymer sources, their unique functional properties and their environmental impact, and addresses their role as sustainable alternatives. It discusses end‐of‐life options, including composting and anaerobic digestion for renewable energy.
Sabina Kolbl Repinc +8 more
wiley +1 more source
The concentration-compactness principle for Orlicz spaces and applications [PDF]
Julián Fernández Bonder, Analía Silva
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Nuclear pore links Fob1‐dependent rDNA damage relocation to lifespan control
Damaged rDNA accumulates at a specific perinuclear interface that couples nucleolar escape with nuclear envelope association. Nuclear pores at this site help inhibit Fob1‐induced rDNA instability. This spatial organization of damage handling supports a functional link between nuclear architecture, rDNA stability, and replicative lifespan in yeast.
Yamato Okada +5 more
wiley +1 more source
Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle [PDF]
Isabelle Catto +3 more
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Stable solitary waves for one-dimensional Schrodinger-Poisson systems
Based on the concentration compactness principle, we shoe the existence of ground state solitary wave solutions for one-dimensional Schrodinger-Poisson systems with large L2-norm in the energy space.
Guoqing Zhang, Weiguo Zhang, Sanyang Liu
doaj
Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions
In this article, we consider a class of nonlocal p(x)-Laplace equations with nonlinear boundary conditions. When the nonlinear boundary involves critical exponents, using the concentration compactness principle, mountain pass lemma, and fountain theorem,
Jie Liu, Qing Miao
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A Nonhomogeneous Fractional p-Kirchhoff Type Problem Involving Critical Exponent in ℝN
This paper concerns itself with the nonexistence and multiplicity of solutions for the following fractional Kirchhoff-type problem involving the critical Sobolev exponent:
Xiang Mingqi, Zhang Binlin, Zhang Xia
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