Results 11 to 20 of about 187,605 (363)
Separating Polynomial $$\chi $$-Boundedness from $$\chi $$-Boundedness
AbstractExtending the idea from the recent paper by Carbonero, Hompe, Moore, and Spirkl, for every function $$f:\mathbb {N}\rightarrow \mathbb {N}\cup \{\infty \}$$ f : N → N ∪ {
Briański, Marcin +2 more
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$R$ -Boundedness versus $\gamma$ -boundedness
It is well-known that in Banach spaces with finite cotype, the $R$-bounded and $\gamma$-bounded families of operators coincide. If in addition $X$ is a Banach lattice, then these notions can be expressed as square function estimates. It is also clear that $R$-boundedness implies $\gamma$-boundedness.
Kwapień, Stanislaw +2 more
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Local Boundedness and Harnack Inequality for Solutions of Linear Nonuniformly Elliptic Equations [PDF]
We study local regularity properties for solutions of linear, nonuniformly elliptic equations. Assuming certain integrability conditions on the coefficient field, we prove local boundedness and Harnack inequality.
P. Bella, Mathias Schäffner
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Global classical solutions for a class of reaction-diffusion system with density-suppressed motility
This paper is concerned with a class of reaction-diffusion system with density-suppressed motility $ \begin{equation*} \begin{cases} u_{t} = \Delta(\gamma(v) u)+\alpha u F(w), & x \in \Omega, \quad t>0, \\ v_{t} = D \Delta v+u-v, & x \in \
Wenbin Lyu, Zhi-An Wang
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Growth conditions and regularity, an optimal local boundedness result [PDF]
We prove local boundedness of local minimizers of scalar integral functionals [Formula: see text], [Formula: see text] where the integrand satisfies [Formula: see text]-growth of the form [Formula: see text] under the optimal relation [Formula: see text].
J. Hirsch, Mathias Schaffner
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Being wheelchair‐bound and being bedridden: Two concept analyses
Aim Analysis of the concepts and development of a conceptual definition of being wheelchair‐bound and being bedridden. Design Concept analysis. Methods Walker and Avant´s concept analysis method was used.
Johannes Schirghuber, Berta Schrems
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This paper studies the dynamic behavior of a class of fractional-order antisymmetric Lotka–Volterra systems. The influences of the order of derivative on the boundedness and stability are characterized by analyzing the first-order and ...
Mengrui Xu
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Dynamics of General Class of Difference Equations and Population Model with Two Age Classes
In this paper, we study the qualitative behavior of solutions for a general class of difference equations. The criteria of local and global stability, boundedness and periodicity character (with period 2 k ) of the solution are established ...
Osama Moaaz +3 more
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We explore the dynamics of adhering to rational difference formula \begin{equation*} \Psi_{m+1}=\frac{\Psi_{m-3}\Psi_{m-5}}{\Psi_{m-1} \left( \pm1\pm \Psi_{m-3}\Psi_{m-5} \right) } \quad m \in \mathbb{N}_{0} \end{equation*} where the initials $\Psi_{-5}$
Ibrahim Tarek Fawzi Abdelhamid +2 more
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A note on the boundedness of sublinear operators on grand variable Herz spaces
In this paper, we introduce grand variable Herz type spaces using discrete grand spaces and prove the boundedness of sublinear operators on these spaces.
Hammad Nafis, H. Rafeiro, M. A. Zaighum
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