Results 101 to 110 of about 366,215 (335)
A parameter transformation of the anisotropic Matérn covariance function
Canadian Journal of Statistics, EarlyView.Abstract We describe a polar coordinate transformation of the anisotropy parameters of the Matérn covariance function, which provides two benefits over the standard parameterization. First, it identifies a single point (the origin) with the special case of isotropy.
Kamal Rai, Patrick E. Brown
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Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms. [PDF]
Entropy (Basel), 2022 Li Y, Ma W.
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Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
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To the uniqueness problem for nonlinear elliptic equations
Nonlinear Analysis: Theory, Methods & Applications, 2003 We prove existence, boundedness and uniqueness of solutions to nonlinear elliptic boundary of second order under nonstandard assumptions with respect to the coefficients.
Gajewski, Herbert, Skrypnik, Igor V.
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Phonon Engineering of Micro‐ and Nanophononic Crystals and Acoustic Metamaterials: A Review
Small Science, Volume 3, Issue 1, January 2023., 2023 Phononic crystals and acoustic metamaterials with phonon wave manipulation capabilities have attracted considerable attention. This review summarizes the progress and identifies gaps in phonon engineering at the micro‐ and nanoscales using phononic crystals and metamaterials due to their potential significance in modern electronic applications.
Jihong Ma
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Deep Underground Science and Engineering, EarlyView.This paper studies the distribution characteristics of the current in situ stress field in northeast Yunnan Province by using multisource stress data, including in situ stress measurements, focal mechanism solutions, and borehole damage information, and comprehensively determines the in situ stress magnitude and direction in the mining area.
Hui Wang +6 more
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Bounds and compactness for solutions of second-order elliptic equations
Electronic Journal of Differential Equations, 2012 In this article, we establish some connections between Sobolev spaces and nonlinear singular elliptic problems, to obtain bounds and compactness results for solutions of second-order elliptic equations.
Carlos C. Aranda
doaj
Singular nonlinear elliptic equations in Rn
Abstract and Applied Analysis, 1998 This paper deals with existence, uniqueness and regularity of positive generalized solutions of singular nonlinear equations of the form −Δu+a(x)u=h(x)u−γ in Rn where a,h are given, not necessarily continuous functions, and γ is a positive number.
C. O. Alves, J. V. Goncalves, L. A. Maia
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A unique solution to a nonlinear elliptic equation
Journal of Mathematical Analysis and Applications, 2010 AbstractThe purpose of this paper is to prove the existence of a unique, classical solution u:Ω→R to the nonlinear elliptic partial differential equation −∇⋅(a(u(x))∇u(x))=f(x) under periodic boundary conditions, where u(x0)=u0 at x0∈Ω, with Ω=TN, the N-dimensional torus, and N=2,3.
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Nonlinear elliptic equations with subhomogeneous potentials
Nonlinear Analysis: Theory, Methods & Applications, 2010 Abstract We prove the existence of nonnegative symmetric solutions to the semilinear elliptic equation − △ u + V ( | y 1 | , … , | y k | ) u = g ( u ) in R N where x = ( z , y 1 , … , y k ) ∈ R N 0 × R N 1 × ⋯ × R N
BADIALE, Marino, S. Rolando
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