Dual variational formulas for the first Dirichlet eigenvalue on half-line

Mu-Fa Chen

Type: Article

Publication Date: 2003-01-01

Citations: 14

DOI: https://doi.org/10.1360/02ys0126

View Publication

Locations

Science in China Series A Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Analytic proof of dual variational formula for the first eigenvalue in dimension one	1999	Mu-Fa Chen
+	New Variational Formulas for the First Eigenvalue	2005
+	Complete Continuity of Eigen-Pairs of Weighted Dirichlet Eigenvalue Problem	2018	Zhiyuan Wen Meihua Yang Meirong Zhang
+	Variational formulas and approximation theorems for the first eigenvalue in dimension one	2001	Mu-Fa Chen
+ PDF Chat	Correction to: A monotonicity result for the first Steklov–Dirichlet Laplacian eigenvalue	2023	Nunzia Gavitone Gianpaolo Piscitelli
+ PDF Chat	The dual eigenvalue problems for p-Laplacian	2013	Yan-Hsiou Cheng Wei-Cheng Lian Wei‐Chuan Wang
+	Inequalities between Dirichlet and Neumann Eigenvalues	1989	Howard A. Levine Hans F. Weinberger
+	Bounds on eigenvalues of Dirichlet Laplacian	2006	Qing-Ming Cheng Hongcang Yang
+	The first Dirichlet eigenvalue and the width	2024	Guoyi Xu
+	Some inequalities between Dirichlet and neumann eigenvalues	1991	Leonid Friedlander
+	Lower and upper functions in a singular Dirichlet problem with ø-Laplacian	2015	Irena Rachůnková Jakub Stryja
+	A lower bound for first eigenvalue with mixed boundary condition	2004	Xin-An Ren Hongwei Xu
+ PDF Chat	GENERAL FORMULAE FOR THE LOWER BOUND OF THE FIRST TWO DIRICHLET EIGENVALUES	1999	Feng‐Yu Wang
+	A Variational Approach to the Fredholm Alternative for the p-Laplacian near the First Eigenvalue	2006	Peter Takáč
+	On the second eigenvalue of the dirichlet laplacian	1992	Leonid Friedlander
+	Minimax formula for the principal eigenvalue of a Dirichlet problem and application	2007	Jean–Pierre Gossez T. Godoy S. Paczka
+ PDF Chat	On the Minimization of Dirichlet Eigenvalues of the Laplace Operator	2011	M. van den Berg Mette Iversen
+	Functions of Dirichlet eigenvalues	2006
+	Functions of Dirichlet eigenvalues	2006
+	On the first eigenvalue and eigenfunction of the Laplacian with mixed boundary conditions	2025	Nausica Aldeghi Jonathan Rohleder

Works That Cite This (9)

Action	Title	Year	Authors
+ PDF Chat	The first eigenvalue of one‐dimensional elliptic operators with killing	2024	K. Y. Dai Xiaobin Sun Jian Wang Yingchao Xie
+ PDF Chat	Speed of stability for birth-death processes	2010	Mu-Fa Chen
+ PDF Chat	Logarithmic Sobolev and Poincaré inequalities for the circular Cauchy distribution	2014	Yutao Ma Zhengliang Zhang
+	Spectral gap of Boltzmann measures on unit circle	2021	Yutao Ma Zhengliang Zhang
+	Speed of stability for birth--death processes	2010	Mu-Fa Chen
+ PDF Chat	Discrete weighted Hardy inequalities with different kinds of boundary conditions	2016	Zhong Wei Liao
+ PDF Chat	Lower bounds of principal eigenvalue in dimension one	2012	Mu-Fa Chen
+	On the spectral gap of Boltzmann measures on the unit sphere	2020	Biao Li Yutao Ma Zhengliang Zhang
+ PDF Chat	Bilateral Hardy-type inequalities	2012	Mu Fa Chen

Works Cited by This (6)

Action	Title	Year	Authors
+	Explicit bounds of the first eigenvalue	2000	Mu-Fa Chen
+	Variational formulas and approximation theorems for the first eigenvalue in dimension one	2001	Mu-Fa Chen
+ PDF Chat	Estimation of spectral gap for elliptic operators	1997	Mu-Fa Chen Feng‐Yu Wang
+	Analytic proof of dual variational formula for the first eigenvalue in dimension one	1999	Mu-Fa Chen
+	Hardy-type inequalities	1990	Bohumı́r Opic Alois Kufner
+	On Spectral Theory of Elliptic Operators	2011	Yu. V. Egorov V. А. Kondratiev