Zobrazeno 1 - 10
of 225
pro vyhledávání: '"31b30"'
Publikováno v:
Nonlinear Anal. Model. Control 29:4 (2024), 762-782
The aim of this paper is to study existence results for a singular problem involving the $p$-biharmonic operator and the Hardy potential. More precisely, by combining monotonicity arguments with the variational method, the existence of solutions is e
Externí odkaz:
http://arxiv.org/abs/2406.18982
Autor:
Fetcu, Dorel
We consider biconservative surfaces in Sol3, find their local equations, and then show that all biharmonic surfaces in this space are minimal.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/2404.18056
Autor:
Chen, Bang-Yen
A submanifold $\phi:M\to \mathbb E^{m}$ is called {\it biharmonic} if it satisfies $\Delta^{2}\phi=0$ identically, according to the author. On the other hand, G.-Y. Jiang studied biharmonic maps between Riemannian manifolds as critical points of the
Externí odkaz:
http://arxiv.org/abs/2401.03273
Autor:
Michelat, Alexis
Furthering the development of Da Lio-Gianocca-Rivi\`ere's Morse stability theory (arXiv:2212.03124) that was first applied to harmonic maps between manifolds and later extended to the case of Willmore immersions (arXiv:2306.04608-04609), we generalis
Externí odkaz:
http://arxiv.org/abs/2312.07494
There are two Rellich inequalities for the bilaplacian, that is for $\int (\Delta u)^2dx$, the one involving $|\nabla u|$ and the other involving $|u|$ at the RHS. In this article we consider these inequalities with sharp constants and obtain sharp S
Externí odkaz:
http://arxiv.org/abs/2312.00433
Publikováno v:
Electron. J. Differential Equations 2023 (2023), art. 61, 12 pp
This paper is concerned with existence results for the singular $p$-biharmonic problem involving the Hardy potential and the critical Hardy-Sobolev exponent. More precisely, by using variational methods combined with the Mountain pass theorem and the
Externí odkaz:
http://arxiv.org/abs/2309.11465
We consider a linearized partial data Calder\'on problem for biharmonic operators extending the analogous result for harmonic operators. We construct special solutions and utilize Segal-Bargmann transform to recover lower order perturbations.
Externí odkaz:
http://arxiv.org/abs/2308.15296
In this article, we study an inverse problem with local data for a linear polyharmonic operator with several lower order tensorial perturbations. We consider our domain to have an inaccessible portion of the boundary where neither the input can be pr
Externí odkaz:
http://arxiv.org/abs/2307.10608
In this work, following the Discrete de Rham (DDR) paradigm, we develop an arbitrary-order discrete divdiv complex on general polyhedral meshes. The construction rests 1) on discrete spaces that are spanned by vectors of polynomials whose components
Externí odkaz:
http://arxiv.org/abs/2305.05729
We consider the Segre embedding of the product $\mathbb{C}P^p\times\mathbb{C}P^q$ into $\mathbb{C}P^{p+q+pq}$ and study the biharmonicity of $M^p\times\mathbb{C}P^q$ and $M^p_1\times M^q_2$ as submanifolds of $\mathbb{C}P^{p+q+pq}$, where $M$ and $M_
Externí odkaz:
http://arxiv.org/abs/2305.00409