Results 11 to 20 of about 2,678,864 (92)
Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian
In this note we prove that solutions of a φ-Laplacian operator on the entire space ℝN are locally regular (Hölder continuous), positive and vanish at infinity. Mild restrictions are imposed on the right-hand side of the equation. For example, we assume a
Arriagada Waldo, Huentutripay Jorge
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Let (𝒳, d, μ) be a space of homogeneous type, in the sense of Coifman and Weiss, with the upper dimension ω. Assume that η ∈(0, 1) is the smoothness index of the wavelets on 𝒳 constructed by Auscher and Hytönen.
Zhou Xilin, He Ziyi, Yang Dachun
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(ω, c)- Pseudo almost periodic distributions
The paper is a study of the (w, c) −pseudo almost periodicity in the setting of Sobolev-Schwartz distributions. We introduce the space of (w, c) −pseudo almost periodic distributions and give their principal properties.
Khalladi Mohammed Taha+1 more
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Applications of one inequality to measures of non-compactness and narrow operators
We consider a generalization of an inequality from papers by Yu. A. Dubinskii, J.L. Lions and E. Magenes. This inequality is of great importance for the proof of solvability of nonlinear elliptic and parabolic equations. In contrast to their works, we do
N. A. Erzakova
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Weak compactness and Orlicz spaces [PDF]
We give new proofs that some Banach spaces have Pe lczynski’s property (V ). Mathematics Subject Classification. Primary: 46B20; Secondary: 46E30 Key-words. M -ideal; Morse-Transue space; Orlicz space; Pe lczynski’s property (V ).
P. Lefèvre+3 more
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Dual complements for domains of ℂ^n
Let Ω ⊂ Cn be a bounded, strictly convex domain and ̃ Ω be its dual complement. Very few such domains with fully described dual complements have been known.
L. Aĭzenberg, E. Liflyand, A. Nekvinda
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Plant Secondary Metabolites as Defense Tools against Herbivores for Sustainable Crop Protection
Plants have evolved several adaptive strategies through physiological changes in response to herbivore attacks. Plant secondary metabolites (PSMs) are synthesized to provide defensive functions and regulate defense signaling pathways to safeguard plants ...
Pratap A. Divekar+13 more
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Sharp norm estimates for the classical heat equation [PDF]
Sharp estimates of solutions of the classical heat equation are proved in $L^p$ norms on the real line.
arxiv
Weighted composition operator on two-dimensional Lorentz spaces
The boundedness, compactness, closed range and invertibility of the weighted composition operator on two-dimensional Lorentz spaces are characterized. Mathematics subject classification (2010): Primary 47B33, 47B38, Secondary 46E30.
R. E. Castillo, H. Chaparro
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Linking Plant Secondary Metabolites and Plant Microbiomes: A Review
Plant secondary metabolites (PSMs) play many roles including defense against pathogens, pests, and herbivores; response to environmental stresses, and mediating organismal interactions.
Zhiqian Pang+7 more
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