Ground State Solutions for the Choquard Equation With the Lower Critical Exponent and Riesz Fractional Laplacian
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DOI: 10.1002/mma.10894
Abstract: In this study, we explore both the nonexistence and existence of a nonzero solution for the following Choquard equation (CE): −∆u+𝒱(ϰ)u=−∆D0−α2*|u|αN+1|u|αN−1u,inℝN,u∈H1ℝN, where α∈(0,N),N≥3,$$ \alpha \in \left(0,N\right),N\ge 3, $$ * represents the convolution within ℝN$$ {\mathbb{R}}^N… read more here.
Keywords: equation; riesz fractional; ground state; exponent ... See more keywords
Bifurcation results for a fractional elliptic equation with critical exponent in $$\mathbb {R}^n$$Rn
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DOI: 10.1007/s00229-016-0878-3
Abstract: In this paper we study some nonlinear elliptic equations in $${\mathbb R}^n$$Rn obtained as a perturbation of the problem with the fractional critical Sobolev exponent, that is $$\begin{aligned} (-\Delta )^s u = \varepsilon \,h\,u_+^q + u_+^p… read more here.
Keywords: bifurcation results; fractional elliptic; results fractional; elliptic equation ... See more keywords
A Characterization of Superalgebras with Pseudoinvolution of Exponent 2
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DOI: 10.1007/s10468-020-09996-4
Abstract: Let A be a superalgebra endowed with a pseudoinvolution ∗ over an algebraically closed field of characteristic zero. If A satisfies an ordinary non-trivial identity, then its graded ∗-codimension sequence $c_{n}^{*}(A)$ , n = 1,2,…, is… read more here.
Keywords: superalgebras pseudoinvolution; exponent; pseudoinvolution exponent; characterization superalgebras ... See more keywords
Theoretical and numerical study of the blow up in a nonlinear viscoelastic problem with variable-exponent and arbitrary positive energy
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DOI: 10.1007/s10473-022-0107-y
Abstract: In this paper, we consider the following nonlinear viscoelastic wave equation with variable exponents: $$u_{tt}-\Delta u+\int_{0}^{t} g(t-\tau)\Delta u(x,\tau)\rm{d}\tau+\mu u_{t}=\vert u\vert^{p(x)-2}u,$$ u t t − Δ u + ∫ 0 t g ( t − τ… read more here.
Keywords: energy; arbitrary positive; blow; theoretical numerical ... See more keywords
Choosing the Allometric Exponent in Covariate Model Building
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DOI: 10.1007/s40262-018-0667-0
Abstract: BackgroundAllometric scaling is often used to describe the covariate model linking total body weight (WT) to clearance (CL); however, there is no consensus on how to select its value.ObjectivesThe aims of this study were to… read more here.
Keywords: allometric exponent; covariate model; exponent; study ... See more keywords
Lelong numbers of m-subharmonic functions
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DOI: 10.1016/j.jmaa.2018.06.055
Abstract: In this paper we study the existence of Lelong numbers of $m-$subharmonic currents of bidimension $(p,p)$ on an open subset of $\Bbb C^n$, when $m+p\geq n$. In the special case of $m-$subharmonic function $\varphi$, we… read more here.
Keywords: lelong numbers; numbers subharmonic; exponent; subharmonic functions ... See more keywords
Postural stability assessment in flatfoot subjects trough lyapunov exponent analysis
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DOI: 10.1093/eurpub/ckab120.113
Abstract: Flatfoot subjects presents an increase plantar foot area related to a plantar pressure feedback impairment. The Lyapunov Exponent is considered a nonlinear parameter used to characterize a signal chaotic behavior measuring the information rate loss… read more here.
Keywords: lyapunov exponent; analysis; condition; exponent ... See more keywords
Critical exponent ν of the Ising model in three dimensions with long-range correlated site disorder analyzed with Monte Carlo techniques
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DOI: 10.1103/physrevb.102.174206
Abstract: We study the critical behavior of the Ising model in three dimensions on a lattice with site disorder by using Monte Carlo simulations. The disorder is either uncorrelated or long-range correlated with correlation function that… read more here.
Keywords: exponent; range; long range; ensuremath ... See more keywords
Eulerian-Lagrangian scaling of the Lyapunov exponent in homogeneous turbulence
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DOI: 10.1103/zv93-zkkv
Abstract: We present a heuristic derivation of the maximal Lyapunov exponent $\gamma$ of homogeneous turbulence which yields two new relations, a sweeping relation and the scaling of the uncertainty field's integral length $L_{\Delta}$. These relations and… read more here.
Keywords: homogeneous turbulence; exponent; lyapunov exponent; lagrangian scaling ... See more keywords
Multiscale Structure Tensor for Improved Feature Extraction and Image Regularization
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DOI: 10.1109/tip.2019.2924799
Abstract: Regularization methods are used widely in image selective smoothing and edge preserving restoration of noisy images. Traditional methods utilize image gradients within regularization function for controlling the smoothing and can produce artifacts when noise levels… read more here.
Keywords: regularization; exponent; structure tensor; image ... See more keywords
EFFECTS OF DIFFERENT DEVELOPMENT STAGES AND STRESS GRADIENT ON DENSITY-BIOMASS EXPONENT AND SIZE INEQUALITY OF HALOXYLON AMMODENDRON (C.A. MEY)
Sign Up to like & getrecommendations! Published in 2019 at "Applied Ecology and Environmental Research"
DOI: 10.15666/aeer/1706_1466514677
Abstract: Quantifying the biomass–density (M–N) exponent and size inequality in plant communities has become a long-standing issue in both theoretical and empirical studies. The biomass–density (M–N) exponent and size inequality of the tree populations have not… read more here.
Keywords: size inequality; exponent; development; density ... See more keywords