Results 71 to 80 of about 1,270,686 (341)

On the existence and multiplicity of solutions for a fourth order discrete BVP [PDF]

arXiv, 2013
We investigate the existence and multiplicity of solutions for fourth order discrete boundary value problems via critical point theory.
arxiv  

Spot‐14 and its paralog Spot‐14R regulate expression of metabolic and thermogenic pathway genes in murine brown and beige adipocytes

FEBS Letters, EarlyView.
Spot‐14 and Spot‐14R play distinct roles in regulating metabolism in brown and beige adipocytes. While both influence lipid and glucose pathways, Spot‐14 uniquely controls thermogenic gene expression. This dual regulation balances energy storage and heat production, highlighting potential therapeutic targets for obesity and metabolic disorders. Spot 14
Lidia Itzel Castro‐Rodríguez, Cristina Velez‐delValle, Claudia Patricia Hernández‐Mosqueira, Walid Kuri‐Harcuch   +3 more
wiley   +1 more source

Multiplicity of solutions to the sum of polyharmonic equations with critical Sobolev exponents

Electronic Journal of Differential Equations, 2015
In this article, we prove multiplicity of solutions for the sum of polyharmonic equation with critical Sobolev exponent. The proof is based upon the methods of weakly lower semi-continuous of the functionals and the Mountain Pass Lemma without (PS ...
Wei Liu, Gao Jia, Lu-Quian Guo
doaj  

Multiplicity of positive solutions for a critical quasilinear Neumann problem [PDF]

arXiv, 2016
We establish the multiplicity of positive solutions to a quasilinear Neumann problem in expanding balls and hemispheres with critical exponent in the boundary condition.
arxiv  

Interaction vesicles as emerging mediators of host‐pathogen molecular crosstalk and their implications for infection dynamics

FEBS Letters, EarlyView.
Interaction extracellular vesicles (iEVs) are hybrid vesicles formed through host‐pathogen communication. They facilitate immune evasion, transfer pathogens' molecules, increase host cell uptake, and enhance virulence. This Perspective article illustrates the multifunctional roles of iEVs and highlights their emerging relevance in infection dynamics ...
Bruna Sabatke, Izadora Volpato Rossi, Marcel I. Ramirez   +2 more
wiley   +1 more source

Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems

Advances in Nonlinear Analysis, 2020
The aim of this paper is to study the existence and multiplicity of solutions for a class of fractional Kirchho problems involving Choquard type nonlinearity and singular nonlinearity.
Wang Fuliang, Hu Die, Xiang Mingqi
doaj   +1 more source

On the asymptotic behavior of solutions to time-fractional elliptic equations driven a multiplicative white noise [PDF]

arXiv, 2020
This paper devoted to study of fractional elliptic equations driven a multiplicative noise. By combining the eigenfunction expansion method for symmetry elliptic operators, the variation of constant formula for strong solutions to scalar stochastic fractional differential equations, Ito's formula and establishing a new weighted norm associated with a ...
arxiv  

STAT3 expression is reduced in cardiac pericytes in HFpEF and its loss reduces cellular adhesion and induces pericyte senescence

FEBS Letters, EarlyView.
Heart failure with preserved ejection fraction (HFpEF) accounts for half of the heart failure cases. It is characterised by microvascular dysfunction, associated with reduced pericyte coverage and diminished STAT3 expression in pericytes. Loss of STAT3 impairs pericyte adhesion, promotes senescence, and activates a pro‐fibrotic gene program.
Leah Rebecca Vanicek, Ariane Fischer, Mariano Ruz Jurado, Anita Tamiato, Tara Procida‐Kowalski, Jochen Wilhelm, Dennis Hecker, Maximilian Merten, Felicitas Escher, Badder Kattih, Valentina Puntmann, David John, Marcel H. Schulz, Eike Nagel, Stefanie Dimmeler, Guillermo Luxán   +15 more
wiley   +1 more source

Multiple solutions of nonlinear partial functional differential equations and systems

Electronic Journal of Qualitative Theory of Differential Equations, 2019
We shall consider weak solutions of initial-boundary value problems for semilinear and nonlinear parabolic differential equations with certain nonlocal terms, further, systems of elliptic functional differential equations.
László Simon
doaj   +1 more source

Representation of solutions of the Gauss hypergeometric equation by the multiple polylogarithms, functional relations of the multiple polylogarithms and relations of the multiple zeta values [PDF]

arXiv, 2008
In this article, we express solutions of the Gauss hypergeometric equation as a series of the multiple polylogarithms by using iterated integral. This representation is the most simple case of a semisimple representation of solutions of the formal KZ equation.
arxiv