Results 101 to 110 of about 33,308 (294)
Multiplicity of solutions to a p-Kirchhoff equation with critical exponent
Boundary Value ProblemsIn this paper, we consider the following p-Kirchhoff equation: P { [ M ( ∥ u ∥ p ) ] p − 1 ( − Δ p u + | u | p − 2 u ) = λ f ( x , u ) + | u | p ∗ − 2 u in Ω , u = 0 , on ∂ Ω , $$ \left \{ \textstyle\begin{array}{l@{\quad}l} [M(\|u\|^{p})]^{p-1}\left ...
Zhaomin Jiang
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper, we study a class of quasilinear elliptic equations with $\Phi$-Laplacian operator and critical growth. Using the symmetric mountain pass theorem and the concentration-compactness principle, we demonstrate that there exists $\lambda_i>0 ...
Xuewei Li, Gao Jia
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FEBS Open Bio, EarlyView.Induction of diabetes in three different mouse strains uniformly resulted in an increase in TNAP activity and a reduction in pyrophosphate (PPi) in the circulation. Inhibition of TNAP restored plasma PPi. Diabetes‐induced calcification in the media layer of the aorta was detected only in the Abcc6−/− strain, which is predisposed to ectopic ...
Krisztina Fülöp +13 more
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Existence of multiple solutions for a quasilinear Neumann problem with critical exponent
Boundary Value Problems, 2018 The main purpose of this paper is to establish the existence and multiplicity of nontrivial solutions for a quasilinear Neumann problem with critical exponent.
Yuanxiao Li, Suxia Xia
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SmallTalk: a novel small‐sized fusion tag for peptide expression and purification
FEBS Open Bio, EarlyView.The SmallTalk fusion tag allows for the efficient expression and purification of soluble recombinant proteins or peptides in Escherichia coli. Testing with SmallTalk‐GFP confirmed that the proteins were soluble and folded correctly, while SmallTalk‐Bin1b maintained its antimicrobial activity against various bacterial isolates. This streamlined workflow
Atika Tariq +3 more
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Fractional elliptic problems with two critical Sobolev-Hardy exponents
Electronic Journal of Differential Equations, 2018 By using the mountain pass lemma and a concentration compactness principle, we obtain the existence of positive solutions to the fractional elliptic problem with two critical Hardy-Sobolev exponents at the origin.
Wenjing Chen
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Naked cuticle is essential for Drosophila wing development beyond Wingless signaling
FEBS Open Bio, EarlyView.Naked cuticle (Nkd), a Wnt signaling inhibitor, assumes extensive roles in Drosophila wing development. Overexpressing Nkd causes smaller, crumpled wings, while also perturbing multiple signaling pathways and developmental genes. A specific region (R1S) is critical for Nkd's function as a signaling integrator, offering new insights for studying its ...
Rui Wang, Ping Wang
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Nonlinear Analysis, 2018 In this paper, we consider the fractional Kirchhoff equations with electromagnetic fields and critical nonlinearity. By means of the concentration-compactness principle in fractional Sobolev space and the Kajikiya's new version of the symmetric mountain ...
Sihua Liang, Jihui Zhang
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DDX3X induces mesenchymal transition of endothelial cells by disrupting BMPR2 signaling
FEBS Open Bio, EarlyView.Elevated DDX3X expression led to downregulation of BMPR2, a key regulator of endothelial homeostasis and function. Our co‐immunoprecipitation assays further demonstrated a molecular interaction between DDX3X and BMPR2. Notably, DDX3X promoted lysosomal degradation of BMPR2, thereby impairing its downstream signaling and facilitating endothelial‐to ...
Yu Zhang +7 more
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Electronic Journal of Differential Equations, 2018 In this study, we study a Kirchhoff type problem involving singular and critical nonlinearities. With aid of variational methods and concentration compactness principle, we prove that the problem admits a weak solution.
Chun-Yu Lei, Gao-Sheng Liu
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