Results 71 to 80 of about 36,100 (302)
P-Laplacian Dirac system on time scales
Journal of Taibah University for Science, 2019 The $ {p} $ -Laplacian type Dirac systems are nonlinear generalizations of the classical Dirac systems. They can be observed as a bridge between nonlinear systems and linear systems.
Tuba Gulsen, Emrah Yilmaz, Meltem Kayali
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Local ‘Superlinearity’ and ‘Sublinearity’ for the p-Laplacian
Journal of Functional Analysis, 2009 AbstractWe study the existence, nonexistence and multiplicity of positive solutions for a family of problems −Δpu=fλ(x,u), u∈W01,p(Ω), where Ω is a bounded domain in RN, N>p, and λ>0 is a parameter. The family we consider includes the well-known nonlinearities of Ambrosetti–Brezis–Cerami type in a more general form, namely λa(x)uq+b(x)ur, where 0 ...
Gossez, Jean-Pierre +2 more
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Multiscale Cell–Cell Interactive Spatial Transcriptomics Analysis
Advanced Science, EarlyView.In this study, we present the MultiScale Cell‐Cell Interactive Spatial Transcriptomics Analysis method, which unites the strengths of spatially resolved deep learning techniques with a topological representation of multi‐scale cell‐cell similarity relations.
Sean Cottrell, Guo‐Wei Wei
wiley +1 more source
Interactional Features of (RO)4Ti Species and Their Zr and Hf Analogues
Angewandte Chemie, EarlyView.Computational and experimental studies reveal that Group 4 tetroxides form a new type of σ‐hole interaction with N and O nucleophiles, which we propose to name “titan bonds” (TnBs). These insights into Ti, Zr, and Hf interactions may aid in the rational design of more selective catalysts for aldol and oxidation reactions. Abstract Tetroxides of Group 4
Elisabetta Venturin +7 more
wiley +2 more sources
Global branching for discontinuous problems involving the p-Laplacian
Electronic Journal of Differential Equations, 2013 In this article, we study elliptic problems with discontinuous nonlinearities involving the p-Laplacian both in bounded and unbounded domains. We prove that there exists a global branch of positive solutions under some suitable assumptions of the ...
Guowei Dai, Ruyun Ma
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Dynamic Synthesis of Multi‐Modal Representations for CITE‐seq Data Integration and Analysis
Advanced Science, EarlyView.The accurate integration of CITE‐seq modalities faces challenges due to complex RNA‐protein nonlinear interactions and computational inefficiencies. A lightweight framework that adaptively fuses RNA and ADT modalities, and refines them through fine‐grained learning is developed to address this issue.
Yinan Shi +5 more
wiley +1 more source
A Modular Approach to Asymmetric Mg(I) Complexes Using a Unique Cyclopentadienyl Mg(I) Complex
Angewandte Chemie, EarlyView.Like changing the tire of a car: The synthesis of a unique MgI complex with a Cp* ligand enabled facile ligand exchange by salt metathesis, giving access to a first aryloxide‐stabilized MgI complex. This concept paves the way for the syntheses of a large variety of asymmetric MgI dimers in which one of the MgI centres is stabilized by a non‐nitrogen ...
Hannah Stecher +6 more
wiley +2 more sources
Prufer transformation for the p-Laplacian
Electronic Journal of Differential Equations, 2010 Prufer transformation is a useful tool for study of second-order ordinary differential equations. There are many possible extensions of the original Prufer transformation. We focus on a transformation suitable for study of boundary value problems for
Jiri Benedikt, Petr Girg
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Asymmetric critical p-Laplacian problems [PDF]
Calculus of Variations and Partial Differential Equations, 2018 We obtain nontrivial solutions for two types of critical $p$-Laplacian problems with asymmetric nonlinearities in a smooth bounded domain in ${\mathbb R}^N,\, N \ge 2$. For $p < N$, we consider an asymmetric problem involving the critical Sobolev exponent $p^\ast = Np/(N - p)$.
Yang Yang, Kanishka Perera, Zhitao Zhang
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Advanced Science, EarlyView.BRIGHT is a newly developed live‐cell imaging system that integrates cascade amplification with background denoising through the bivalent binding capability and antigen‐dependent stability of a bivalent fluorescent nanobody targeting ALFA peptides.
Lei Feng +9 more
wiley +1 more source