Zobrazeno 1 - 10
of 13 529
pro vyhledávání: '"A A Grushin"'
In this paper, we study three kinds of nonlinear degenerate elliptic equations containing the Grushin operator. First, we prove radial symmetry and a decay rate at infinity of solutions to such a Grushin equation by using the moving plane method in c
Externí odkaz:
http://arxiv.org/abs/2412.08039
Autor:
Burq, Nicolas, Latocca, Mickaël
We prove Strichartz estimates for a class of Baouendi--Grushin operators acting either on the Euclidean space or a product of the type $\mathbb{R}^{d_1} \times M$, where $(M,g)$ is a smooth compact manifold with no boundary. We then give an applicati
Externí odkaz:
http://arxiv.org/abs/2411.19808
In this paper, we establish a Liouville theorem for solutions to the Lane Emden equation involving Baouendi Grushin operators. We focus on solutions that are stable outside a compact set. Specifically, we prove that when p is smaller than the Joseph
Externí odkaz:
http://arxiv.org/abs/2411.06354
The Grushin Laplacian $- \Delta_\alpha $ is a degenerate elliptic operator in $\mathbb{R}^{h+k}$ that degenerates on $\{0\} \times \mathbb{R}^k$. We consider weak solutions of $- \Delta_\alpha u= Vu$ in an open bounded connected domain $\Omega$ with
Externí odkaz:
http://arxiv.org/abs/2410.12637
Autor:
Wei, Yawei, Zhou, Xiaodong
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. Then, we provide an exact expression for the kernel space of linear operator
Externí odkaz:
http://arxiv.org/abs/2407.18399
Autor:
Borza, Samuël, Tashiro, Kenshiro
We provide new examples of sub-Riemannian manifolds with boundary equipped with a smooth measure that satisfy the $\mathsf{RCD}(K , N)$ condition. They are constructed by equipping the half-plane, the hemisphere and the hyperbolic half-plane with a t
Externí odkaz:
http://arxiv.org/abs/2409.11177
For $N\ge 3$ we study the following semipositone problem $$ -\Delta_\gamma u = g(z) f_a(u) \quad \hbox{in $\mathbb{R}^N$}, $$ where $\Delta_\gamma$ is the Grushin operator $$ \Delta_ \gamma u(z) = \Delta_x u(z) + \vert x \vert^{2\gamma} \Delta_y u (z
Externí odkaz:
http://arxiv.org/abs/2407.10742
In this paper, we consider a critical Grushin-type problem, which is closely related to the prescribed Webster scalar curvature problems on the CR sphere with cylindrically symmetric curvature. We first prove a non-degeneracy result through local Poh
Externí odkaz:
http://arxiv.org/abs/2407.02084
Autor:
Oliveira, Geronimo, Viana, Arlúcio
In this work, we study the heat equation with Grushin's operator. We present an expression for its heat kernel and get regularity properties and decay on $L^p$ spaces for both heat Kernel and semigroup associated to Grushin's operator. Next, we use t
Externí odkaz:
http://arxiv.org/abs/2409.06578
Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator
Autor:
Dukenbayeva, Aishabibi
In this note, we study a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear pseudo-parabolic equation for the Baouendi-Grushin operator. The approach is based on the concavity argument and th
Externí odkaz:
http://arxiv.org/abs/2405.13222