Zobrazeno 1 - 10
of 401
pro vyhledávání: '"35j30"'
Autor:
Buoso, Davide, Ferraresso, Francesco
Publikováno v:
Journal of Differential Equations, Volume 422, 2025, Pages 386-425, ISSN 0022-0396
We establish the convergence of the resolvent of the Reissner-Mindlin system in any dimension $N \geq 2$, with any of the physically relevant boundary conditions, to the resolvent of the biharmonic operator with suitably defined boundary conditions i
Externí odkaz:
http://arxiv.org/abs/2412.20094
The purpose of this article is to establish a sharp version of Adams' type inequality in a suitable higher order function space with singular weight in $\mathbb{R}^n$. In addition, we also provide the proof of a sharp singular concentration-compactne
Externí odkaz:
http://arxiv.org/abs/2412.11176
Autor:
Li, Jungang, Wang, Zhiwei
We study the following higher order Schr\"odinger equation on hyperbolic space $\mathbb{H}^n$: $P_m u +a(x) u = |u|^{q - 2}u,$ where $P_m$ is the $2m$ order GJMS operator, $q=\frac{2n}{n-2m}$, $a(x) \in L^{\frac{n}{2m}}(\mathbb{H}^n)$ is a nonnegativ
Externí odkaz:
http://arxiv.org/abs/2411.14719
We consider the Weak Galerkin finite element approximation of the Singularly Perturbed Biharmonic elliptic problem on a unit square domain with clamped boundary conditions. Shishkin mesh is used for domain discretization as the solution exhibits boun
Externí odkaz:
http://arxiv.org/abs/2409.07217
Autor:
Raske, David
It is well known that positive Green's operators are not necessarily positivity preserving. In this paper we investigate the matter of just how far from being positivity preserving a positive Green's operator can be. We will also identify a broad cla
Externí odkaz:
http://arxiv.org/abs/2408.17446
Embedding theorems for symmetric functions without zero boundary condition have been studied on flat Riemannian manifolds, such as the Euclidean space. However, these theorems have only been established on hyperbolic spaces for functions with zero bo
Externí odkaz:
http://arxiv.org/abs/2408.13599
Autor:
Carletti, Lorenzo
Let $(M,g)$ be a closed Riemannian manifold of dimension $n$, and $k\geq 1$ an integer such that $n>2k$. We show that there exists $B_0>0$ such that for all $u \in H^{k}(M)$, \[\|u\|_{L^{2^\sharp}(M)}^2 \leq K_0^2 \int_M |\Delta_g^{k/2} u|^2 \,dv_g +
Externí odkaz:
http://arxiv.org/abs/2408.09234
We revisit and extend a variety of inequalities related to power weighted Rellich and Hardy--Rellich inequalities, including an inequality due to Schmincke.
Comment: 37 pages, corrections made and slight reorganization of appendix
Comment: 37 pages, corrections made and slight reorganization of appendix
Externí odkaz:
http://arxiv.org/abs/2408.00013
Autor:
Shpakivskyi, Vitalii
An infinite-dimensional family of exact solutions of a three-dimensional biharmonic equation was constructed by the hypercomplex method.
Externí odkaz:
http://arxiv.org/abs/2407.09821
The principal purpose of this note is to prove a logarithmic refinement of the power weighted Hardy--Rellich inequality on $n$-dimensional balls, valid for the largest variety of underlying parameters and for all dimensions $n \in \mathbb{N}$, $n\geq
Externí odkaz:
http://arxiv.org/abs/2407.05212