Results 41 to 50 of about 1,270,686 (341)
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
Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, we prove the existence of at least two nontrivial solutions for a nonlinear elliptic problem involving p(x)-Laplacian-like operator and nonsmooth potentials.
Qing-Mei Zhou
doaj +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
Electronic Journal of Differential Equations, 2018 In this article, we study the Kirchhoff type problem $$ -\Big(a+\epsilon\int_{\mathbb{R}^3} K(x)|\nabla u|^2dx\Big)\hbox{div} (K(x)\nabla u)=\lambda K(x)f(x)|u|^{q-2}u+K(x)|u|^{4}u, $$ where $x\in \mathbb{R}^3$, $10$.
Xiaotao Qian, Jianqing Chen
doaj
Multiplicity results for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Using the mountain pass theorem combined with the Ekeland variational principle, we obtain at least two distinct, non-trivial weak solutions for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities.
Nguyen Thanh Chung
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Multiple Solutions in Fluid Dynamics
Nonlinear Analysis: Modelling and Control, 2009 The principle of multiple solutions of the Navier-Stokes and energy equations discussed in this paper is not directed at any particular problems in fluid dynamics and heat transfer, or at any specific applications. The non-uniqueness principle states that the Reynolds number, above its critical value, is insufficient to uniquely determine a flow field ...
openaire +3 more sources
FEBS Letters, EarlyView.Toll‐like receptors (TLRs) are important in the innate immune system. This study explores the zinc‐binding ability of the TLR2 TIR domain (TLR2TIR). We found that TLR2TIR binds zinc with nanomolar affinity through its cysteine residues. Two of them, C673 and C713, are vital for receptor activation, indicating that zinc may play a role in initiating ...
Vladislav A. Lushpa +8 more
wiley +1 more source
Electronic Journal of Differential Equations, 2018 In this article we study the perturbed fractional Schrodinger equation involving oscillatory terms $$\displaylines{ (-\Delta)^{\alpha} u+u =Q(x)\Big(f(u)+\epsilon g(u)\Big), \quad x\in \mathbb{R}^N\cr u\geq 0, }$$ where $\alpha\in (0, 1)$ and $N>
Chao Ji, Fei Fang
doaj
Existence of multiple solutions for a class of nonhomogeneous problems with critical growth
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we study the existence and multiplicity of solutions for $(p_1(x),p_2(x))$-equation with critical growth. The technical approach is mainly based on the variational method combined with the genus theory.
Mohammed Massar
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Multiple solutions for systems of multi-point boundary value problems [PDF]
Opuscula Mathematica, 2013 In this paper, we establish the existence of at least three solutions of the multi-point boundary value system \[\left\{\begin{array}{ll} -(\phi_{p_i}(u'_{i}))'=\lambda F_{u_{i}}(x,u_{1},\ldots,u_{n}),\ t\in(0,1),\\ u_{i}(0)=\sum_{j=1}^m a_ju_i(x_j ...
John R. Graef +2 more
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