Results 51 to 60 of about 453,228 (135)

The kernel space of linear operator on a class of Grushin equation [PDF]

In this paper, we concern the kernel of linear operator for a class of Grushin equation. First, we study the kernel space of linear operator for a general Grushin equation.
Wei, Yawei, Zhou, Xiaodong
core   +1 more source

Fundamental solutions to the p-Laplace equation in a class of Grushin vector fields

Electronic Journal of Differential Equations, 2011
We find the fundamental solution to the p-Laplace equation in a class of Grushin-type spaces. The singularity occurs at the sub-Riemannian points, which naturally corresponds to finding the fundamental solution of a generalized Grushin operator in ...
Thomas Bieske
doaj  

Riesz Transforms Associated with the Grushin Operator with Drift

Potential Analysis
We consider the Grushin operator with drift which is symmetric with respect to a measure having exponential growth. For the corresponding Riesz transforms, we study strong-type $(p, p)$, $1 < p < \infty$, and weak-type $(1, 1)$ boundedness.
Garg, Nishta, Garg, Rahul
openaire   +2 more sources

Bounds on Riesz Means of the Eigenvalues for Baouendi–Grushin Type Operators

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The aim of this paper is to consider spectral inequalities of a class of Baouendi–Grushin type operators in cylinders. Such operators are hypoelliptic and we obtain non‐Weyl type inequalities depending on the rate of the degeneracy. We also give an example where all eigenvalues and eigenfunctions are computed explicitly.
Alaa Aljahili, Ari Laptev, Shikha Binwal
wiley   +1 more source

Kelvin transform for Grushin operators and critical semilinear equations

Duke Mathematical Journal, 2006
The authors consider the positive entire solutions \(u(x,y)\) of the critical semilinear Grushin type semilinear problem \[ \Delta_x u + (\alpha + 1)^2 \delta_y u = -u^{\frac{Q+2}{Q-2}} \] \((x,y) \in \mathbb R^n = \mathbb R^m \times \mathbb R^k\), \(\alpha >0\) and \(Q = m+k(\alpha +1)\). The paper is divided into different parts.
R. Monti, MORBIDELLI, DANIELE
openaire   +4 more sources

Nonvariational and singular double phase problems for the Baouendi-Grushin operator

, 2021
In this paper we introduce a new double phase Baouendi-Grushin type operator with variable coefficients. We give basic properties of the corresponding functions space and prove a compactness result.
Rǎdulescu, Vicenţiu, Bahrouni, Anouar, Repovš, Dušan   +2 more
core   +1 more source

Discrete spectrum of the magnetic Laplacian on perturbed half‐planes

Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2529-2551, July 2024.
Abstract The existence of bound states for the magnetic Laplacian in unbounded domains can be quite challenging in the case of a homogeneous magnetic field. We provide an affirmative answer for almost flat corners and slightly curved half‐planes when the total curvature of the boundary is positive.
Virginie Bonnaillie‐Noël, Søren Fournais, Ayman Kachmar, Nicolas Raymond   +3 more
wiley   +1 more source

Structural studies of a serum amyloid A octamer that is primed to scaffold lipid nanodiscs

Protein Science, Volume 33, Issue 5, May 2024.
Abstract Serum amyloid A (SAA) is a highly conserved acute‐phase protein that plays roles in activating multiple pro‐inflammatory pathways during the acute inflammatory response and is commonly used as a biomarker of inflammation. It has been linked to beneficial roles in tissue repair through improved clearance of lipids and cholesterol from sites of ...
Asal Nady, Sean E. Reichheld, Simon Sharpe   +2 more
wiley   +1 more source

Design and development of robotic collaborative system for automated construction of reciprocal frame structures

Computer-Aided Civil and Infrastructure Engineering, Volume 39, Issue 10, Page 1550-1569, 15 May 2024.
Abstract Robotic technologies have shown their potential to improve efficiency, precision, and safety for construction tasks. In this paper, the concept of design for robotic construction (DfRC) is introduced, and robotic collaborative systems are developed for the construction of load‐carrying structures.
Cheav Por Chea, Yu Bai, Zhuomin Zhou
wiley   +1 more source

Existence and continuity of global attractors for a degenerate semilinear parabolic equation

Electronic Journal of Differential Equations, 2009
In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
Cung The Anh, Tran Dinh Ke
doaj