Results 81 to 90 of about 4,824,817 (357)
A Picone identity for variable exponent operators and applications [PDF]
Advances in Nonlinear Analysis, 2019 Abstract In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u| p(x)−2 ∇ u). Our extension provides a new version of the Diaz-Saa inequality and new uniqueness results to some quasilinear elliptic equations with variable exponents.
Arora, Rakesh +2 more
openaire +5 more sources
Molecular and functional profiling unravels targetable vulnerabilities in colorectal cancer
Molecular Oncology, EarlyView.We used whole exome and RNA‐sequencing to profile divergent genomic and transcriptomic landscapes of microsatellite stable (MSS) and microsatellite instable (MSI) colorectal cancer. Alterations were classified using a computational score for integrative cancer variant annotation and prioritization.
Efstathios‐Iason Vlachavas +15 more
wiley +1 more source
On the solution of evolution p(.)-Bilaplace equation with variable
Boletim da Sociedade Paranaense de Matemática, 2022 A high-order parabolic p(.)-Bilaplace equation with variable exponent is studied. The well-posedness at each time step of the problem in suitable Lebesgue Sobolev spaces with variable exponent with the help of nonlinear monotone operators theory is ...
Abderrazek Chaoui, Manal Djaghout
doaj +1 more source
Local regularity for nonlocal equations with variable exponents
Mathematische Nachrichten, 2023 AbstractIn this paper, we study local regularity properties of minimizers of nonlocal variational functionals with variable exponents and weak solutions to the corresponding Euler–Lagrange equations. We show that weak solutions are locally bounded when the variable exponent p is only assumed to be continuous and bounded.
Jamil Chaker, Minhyun Kim
openaire +2 more sources
Molecular Oncology, EarlyView.This study investigates an alternative approach to reactivating the oncosuppressor p53 in cancer. A short peptide targeting the association of the two p53 inhibitors, MDM2 and MDM4, induces an otherwise therapeutically active p53 with unique features that promote cell death and potentially reduce toxicity towards proliferating nontumor cells.
Sonia Valentini +10 more
wiley +1 more source
Molecular Oncology, EarlyView.This article advocates integrating temporal dynamics into cancer research. Rather than relying on static snapshots, researchers should increasingly consider adopting dynamic methods—such as live imaging, temporal omics, and liquid biopsies—to track how tumors evolve over time.
Gautier Follain +3 more
wiley +1 more source
Variable Exponent Function Spaces related to a Sublinear Expectation
Abstract and Applied Analysis, 2020 In this paper, variable exponent function spaces Lp·, Lbp·, and Lcp· are introduced in the framework of sublinear expectation, and some basic and important properties of these spaces are given.
Bochi Xu
doaj +1 more source
FEBS Open Bio, EarlyView.Heterologous expression of membrane transporters in cultured cells is essential for functional characterization, but is sometimes limited by low activity. Our study compares the HDAC inhibitors butyrate, VPA and SAHA to enhance transport activity. We propose to replace butyrate by SAHA: it is equally effective, devoid of repulsive odor, costs less, and
Svenja Flögel +4 more
wiley +1 more source
A new class of double phase variable exponent problems: Existence and uniqueness [PDF]
Journal of Differential Equations, 2021 Ángel Crespo-Blanco +3 more
semanticscholar +1 more source
Comparative study of adenosine 3′‐pyrophosphokinase domains of MuF polymorphic toxins
FEBS Open Bio, EarlyView.With the ultimate goal of understanding the association of toxin‐immunity modules to temperate phages, we characterized toxins from three prophages and examined cross‐protection from immunity proteins. The toxins exhibit adenosine 3′‐pyrophosphokinase activity and are toxic in Escherichia coli.
Eloïse M. Paulet +6 more
wiley +1 more source