On the existence of positive least energy solutions for a coupled Schrödinger system with critical exponent
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4034
Abstract: In this paper, we consider the following coupled Schrodinger system with critical exponent: −Δu=λu+|u|α−2u|v|β−1v,x∈Ω,−Δv=μ|v|2∗−2v+|u|α|v|β−1,x∈Ω,u,v>0,x∈Ω,u=v=0,x∈∂Ω, where Ω⊂RN(N≥3) is a smooth bounded domain, λ > 0,μ≥0, and α,β≥1,α+β=2∗=2NN−2. Under certain conditions on λ and μ, we show… read more here.
Keywords: positive least; critical exponent; least energy; system critical ... See more keywords
Critical Systematic Evaluation and Thermodynamic Optimization of the Fe-RE System: RE = Gd, Tb, Dy, Ho, Er, Tm, Lu, and Y
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Phase Equilibria and Diffusion"
DOI: 10.1007/s11669-017-0546-7
Abstract: As the second part of the thermodynamic study of binary Fe-RE system, critical evaluations and optimizations of all available phase diagrams and thermodynamic data for the Fe-heavy RE (heavy RE = Gd, Tb, Dy, Ho, Er, Tm,… read more here.
Keywords: thermodynamic properties; system critical; system; systematic evaluation ... See more keywords
Multiple Positive Solutions for a Fractional Laplacian System with Critical Nonlinearities
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-016-0432-1
Abstract: In this paper, we study the following nonlinear fractional Laplacian system with critical exponent $$\begin{aligned} \left\{ \begin{array}{ll} (-\Delta )^{s}u=\lambda |u|^{p-2}u+\frac{2\alpha }{\alpha +\beta }|u|^{\alpha -2}u|v|^{\beta }, &{}\quad \hbox {in} \;\ \Omega ,\\ (-\Delta )^{s}v=\mu |v|^{p-2}v+\frac{2\beta }{\alpha… read more here.
Keywords: laplacian system; system critical; fractional laplacian; beta ... See more keywords
The gastrointestinal system in critical care: current insights and perspectives.
Sign Up to like & getrecommendations! Published in 2021 at "Current Opinion in Critical Care"
DOI: 10.1097/mcc.0000000000000807
Abstract: DOI:10.1097/MCC.0000000000000807 The gastrointestinal system is complex because of the different organs involved and the multitude of functions it covers, as well as the complex anatomy and intricate pathophysiology that remains incompletely understood. Moreover, the not… read more here.
Keywords: critical care; care; system critical; care current ... See more keywords
The MMDx® diagnostic system: A critical re‐appraisal of its knowledge gaps and a call for rigorous validation studies
Sign Up to like & getrecommendations! Published in 2022 at "Clinical Transplantation"
DOI: 10.1111/ctr.14747
Abstract: Transcriptomics generates pathogenetic insights not obtainable by histology, but translation of these insights into diagnostic tests is not a trivial task. This opinion‐piece critically appraises declarative MMDx statements, such as the infallibility of machine learning… read more here.
Keywords: critical appraisal; appraisal knowledge; mmdx diagnostic; knowledge gaps ... See more keywords
Consideration of Usefulness of Leakage Prevention System for Critical Diagnostic Information Transmission
Sign Up to like & getrecommendations! Published in 2022 at "Studies in health technology and informatics"
DOI: 10.3233/shti220249
Abstract: In our country, overlooking and failing to communicate the results of imaging examinations and pathological examinations to patients is a problem. This is because it affects the prognosis of the patients. With the introduction of… read more here.
Keywords: usefulness leakage; system; consideration usefulness; system critical ... See more keywords