Zobrazeno 1 - 10
of 184
pro vyhledávání: '"Xia Changyu"'
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 557-570 (2023)
We prove Li-Yau-Kröger-type bounds for Neumann-type eigenvalues of the biharmonic operator on bounded domains in a Euclidean space. We also prove sharp estimates for lower order eigenvalues of a biharmonic Steklov problem and of the Laplacian, which
Externí odkaz:
https://doaj.org/article/b6046cfbf3df48d19ea6b3cddb683e1d
Autor:
Fang, Fuquan, Xia, Changyu
Publikováno v:
Pacific J. Math. 317 (2022) 297-316
New isoperimetric inequalities for lower order eigenvalues of the Laplacian on closed hypersurfaces, of the biharmonic Steklov problems and of the Wentzell-Laplace on bounded domains in a Euclidean space are proven. Some open questions for further st
Externí odkaz:
http://arxiv.org/abs/2110.01869
In the present paper we study some kinds of the problems for the bi-drifting Laplacian operator and get some sharp lower bounds for the first eigenvalue for these eigenvalue problems on compact manifolds with boundary (also called a smooth metric mea
Externí odkaz:
http://arxiv.org/abs/1903.06728
We prove Li-Yau-Kr\"oger type bounds for Neumann-type eigenvalues of the poly-harmonic operator and of the biharmonic operator on bounded domains in a Euclidean space. We also prove sharp estimates for lower order eigenvalues of a biharmonic Steklov
Externí odkaz:
http://arxiv.org/abs/1902.08998
Autor:
Wang, Qiaoling, Xia, Changyu
In this paper, we prove an isoperimetric inequality for lower order eigenvalues of the Dirichlet Laplacian on bounded domains of a Euclidean space which strengthens the well-known Ashbaugh-Beguria inequality conjectured by Payne-P\'olya-Weinberger on
Externí odkaz:
http://arxiv.org/abs/1810.09415
Autor:
Xia, Changyu
This paper considers overdetermined boundary problems. Firstly, we give a proof to the Payne-Schaefer conjecture about an overdetermined problem of sixth order in the two dimensional case and under an additional condition for the case of dimension no
Externí odkaz:
http://arxiv.org/abs/1809.09511
Autor:
Wang, Qiaoling, Xia, Changyu
In this paper, we prove an isoperimetric inequality for lower order eigenvalues of the free membrane problem on bounded domains of a Euclidean space or a hyperbolic space which strengthens the well-known Szeg\"o-Weinberger inequality and supports str
Externí odkaz:
http://arxiv.org/abs/1808.09520
Autor:
Xia, Changyu, Wang, Qiaoling
In this paper we prove the Pohozaev identity for the weighted anisotropic $p$-Laplace operator. As an application of our identity, we deduce the nonexistence of nontrivial solutions of the Dirichlet problem for the weighted anisotropic $p$-Laplacian
Externí odkaz:
http://arxiv.org/abs/1805.02299
Autor:
Wang, Qiaoling, Xia, Changyu
We obtain sharp lower bounds for the first eigenvalue of four types of eigenvalue problem defined by the bi-Laplace operator on compact manifolds with boundary and determine all the eigenvalues and the corresponding eigenfunctions of a Wentzell-type
Externí odkaz:
http://arxiv.org/abs/1802.05502
In this paper, we prove that if a metric measure space satisfies the volume doubling condition and the Caffarelli-Kohn-Nirenberg inequality with same exponent n(n>1), then it has exactly n-dimensional volume growth. As application, we obtain geometri
Externí odkaz:
http://arxiv.org/abs/1711.04836