Results 51 to 60 of about 163,164 (293)
Advances in Difference Equations, 2021 In this paper, we firstly establish the existence and uniqueness of solutions of the operator equation A ( x , x ) + B ( x , x ) + C ( x ) + e = x $A(x,x)+ B(x,x)+C(x)+e = x$ , where A and B are two mixed monotone operators, C is a decreasing operator ...
Yanbin Sang +4 more
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Advances in Nonlinear Analysis, 2019 Abstract In this paper, we consider the nonlinear eigenvalue problem: $$\begin{array}{} \displaystyle \begin{cases} {\it\Delta}(|{\it\Delta} u|^{p(x)-2}{\it\Delta} u)= \lambda \frac{|u|^{q(x)-2}u}{{\delta(x)}^{2q(x)}} \;\; \mbox{in}\;\; {\it\Omega}, \\ u\in W_0^{2,p(x)}({\it\Omega}), \end{cases} \end{array}$$ where Ω is a regular bounded domain of ℝN,
Khalil Abdelouahed El +3 more
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Eigenvalue of Fractional Differential Equations with p-Laplacian Operator [PDF]
, 2013 We investigate the existence of positive solutions for the fractional order eigenvalue problem with p-Laplacian operator -tβ(φp(tαx))(t)=λf(t,x(t)), t∈(0,1), x(0)=0, tαx(0)=0, tγx(1)=∑j=1m-2ajtγx(ξj), where tβ, tα, tγ are the standard Riemann ...
Wenquan Wu, Xiangbing Zhou
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FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source
Symmetry results for the p(x)-Laplacian equation
Advances in Nonlinear Analysis, 2013 We consider the equation and the related Dirichlet problem. For axially symmetric domains we prove that, under suitable assumptions, there exist mountain-pass solutions which exhibit partial symmetry.
Montoro Luigi +2 more
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Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity
Boundary Value Problems, 2022 In this paper, we prove the existence of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity in an interval [ 0 , T ) $[0, T)$ by employing the Galerkin approximation method and compactness arguments.
N. Lakshmipriya +3 more
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Moroccan Journal of Pure and Applied Analysis, 2023 Abstract We investigate the existence of non-trivial weak solutions for the following p ( x )-Kirchhoff bi-nonlocal elliptic problem driven by both p ( x )-
Mohsine Jennane, My Driss Morchid Alaoui
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A maximal theorem for holomorphic semigroups. [PDF]
, 2004 Let X be a closed linear subspace of the Lebesgue space L^p(Omega ; mu); let -A be an invertible linear operator that is the generator of abounded holomorphic semigroup T_t on X.
Ian Doust +3 more
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Discrete Geometric Homogenisation and Inverse Homogenisation of an Elliptic Operator [PDF]
, 2008 We show how to parameterise a homogenised conductivity in R² by a scalar function s(x), despite the fact that the conductivity parameter in the related up-scaled elliptic operator is typically tensor valued.
Donaldson, Roger David
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Tau acetylation at K331 has limited impact on tau pathology in vivo
FEBS Letters, EarlyView.We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto +3 more
wiley +1 more source