Concentration phenomena for critical fractional Schr\"odinger systems
In this paper we study the existence, multiplicity and concentration behavior of solutions for the following critical fractional Schr\"odinger system \begin{equation*} \left\{ \begin{array}{ll} \varepsilon^{2s} (-\Delta)^{s}u+V(x) u=Q_{u}(u, v)+\frac{1 ...
Ambrosio, Vincenzo
core +1 more source
Concentration-compactness principle for embedding into multiple exponential spaces on unbounded domains [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
Concentration-Compactness Principle for Moser-type Inequalities in Lorentz-Sobolev Spaces
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li Dongliang, Zhu Maochun
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Embedded surfaces of arbitrary genus minimizing the Willmore energy under isoperimetric constraint
The isoperimetric ratio of an embedded surface in $R^3$ is defined as the ratio of the area of the surface to power three to the squared enclosed volume.
Keller, Laura Gioia Andrea +2 more
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Emerging role of ARHGAP29 in melanoma cell phenotype switching
This study gives first insights into the role of ARHGAP29 in malignant melanoma. ARHGAP29 was revealed to be connected to tumor cell plasticity, promoting a mesenchymal‐like, invasive phenotype and driving tumor progression. Further, it modulates cell spreading by influencing RhoA/ROCK signaling and affects SMAD2 activity. Rho GTPase‐activating protein
Beatrice Charlotte Tröster +3 more
wiley +1 more source
Concentration-compactness principle for nonlocal scalar field equations with critical growth
The aim of this paper is to study a concentration-compactness principle for homogeneous fractional Sobolev space $\mathcal{D}^{s,2} (\mathbb{R}^N)$ for ...
��, Jo��o Marcos do +1 more
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The 5th edition of the European Code Against Cancer (ECAC5) contains 14 recommendations on cancer prevention. Here, we update the cancer prevention recommendations regarding the use of hormone replacement therapy (HRT), which is positioned as recommendation number 13 of the ECAC5.
Mangesh A. Thorat +18 more
wiley +1 more source
Strength through diversity: how cancers thrive when clones cooperate
Intratumor heterogeneity can offer direct benefits to the tumor through cooperation between different clones. In this review, Kuiken et al. discuss existing evidence for clonal cooperativity to identify overarching principles, and highlight how novel technological developments could address remaining open questions.
Marije C. Kuiken +3 more
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Diffusion‐based size determination of solute particles: a method adapted for postsynaptic proteins
We present a diffusion‐based approach for measuring the size of macromolecules and their complexes, and demonstrate its use on postsynaptic proteins. The method requires fluorescein‐labelled protein samples, a microfluidic device that maintains laminar flow for said samples, a microscope recording the emitted fluorescent signals, and an analytic ...
András László Szabó +7 more
wiley +1 more source

