Fractional Schrodinger-Poisson equations with general nonlinearities
Electronic Journal of Differential Equations, 2016 In this article we study the existence of positive solutions and ground state solutions for a class of fractional Schrodinger-Poisson equations in R^3 with general nonlinearity.
Ronaldo C. Duarte, Marco A. S. Souto
doaj
Constructing polynomial systems with many positive solutions using tropical geometry [PDF]
arXiv, 2017 The number of positive solutions of a system of two polynomials in two variables defined in the field of real numbers with a total of five distinct monomials cannot exceed 15. All previously known examples have at most 5 positive solutions. Tropical geometry is a powerful tool to construct polynomial systems with many positive solutions.
arxiv
Remarks on positive solutions to nonlinear problems and numerical methods [PDF]
arXiv, 2019 The existence of positive solutions to the system of ordinary differential equations related to the Belousov-Zhabotinsky reaction is established. The key idea is to use successive approximation of solutions, ensuring its positivity. To obtain the positivity and invariant region for numerical solutions, the system is discretized as difference equations ...
arxiv
Making tau amyloid models in vitro: a crucial and underestimated challenge
FEBS Letters, EarlyView.This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley +1 more source
Unraveling Mycobacterium tuberculosis acid resistance and pH homeostasis mechanisms
FEBS Letters, EarlyView.Mycobacterium tuberculosis exhibits a remarkable resilience to acid stress. In this Review, we discuss some of the molecular mechanisms and metabolic pathways used by the tubercle bacilli to adapt and resist host‐mediated acid stress. Mycobacterium tuberculosis (Mtb) is a successful pathogen that has developed a variety of strategies to survive and ...
Janïs Laudouze +3 more
wiley +1 more source
Bounded and large radially symmetric solutions for some (p,q)-Laplacian stationary systems
Electronic Journal of Differential Equations, 2012 This article concerns radially symmetric positive solutions of second-order quasilinear elliptic systems. In terms of the growth of the variable potential functions, we establish conditions such that the solutions are either bounded or blow up at ...
Adel Ben Dkhil, Noureddine Zeddini
doaj
A positive solution to a conjecture of A. Katok for diffeomorphism case [PDF]
arXiv, 2008 In this paper, using Pesin theory and Liao theory, we give a positive solution to a conjecture of A. Katok.
arxiv
Multiple solutions for a Schrödinger-Bopp-Podolsky system with positive potentials [PDF]
arXiv, 2020 In the paper we prove existence of solutions for a Schr\"odinger-Bopp-Podolsky system under positive potentials. We use the Ljusternick-Schnirelmann and Morse Theories to get multiple solutions with a priori given ``interaction energy''.
arxiv
The power of microRNA regulation—insights into immunity and metabolism
FEBS Letters, EarlyView.MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto +2 more
wiley +1 more source
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