On the Spectrum of the Weighted p-Biharmonic Operator with Weight

被引：0

作者：

Mohamed Talbi

Najib Tsouli

机构：

[1] University MOHAMMED I,Department of Mathematics and Computer Faculty of Sciences

来源：

Mediterranean Journal of Mathematics | 2007年 / 4卷

关键词：

Primary 35P30; Secondary 34C23; p-Biharmonic operator; principal eigenvalue;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this work we give a non decreasing sequence of positive eigenvalues of the weighted p-biharmonic operator with weight and with Navier boundary conditions, then we study the simplicity and the isolation of the first positive eigenvalue. Finally, we study the one dimensional case.

引用

页码：73 / 86

页数：13

共 50 条

[21] On the p-Biharmonic Operator with Critical Sobolev Exponent and Nonlinear Steklov Boundary Condition
El Khalil, Abdelouahed
Alaoui, My Driss Morchid
Touzani, Abdelfattah
INTERNATIONAL JOURNAL OF ANALYSIS, 2014,
[22] Existence and Nonexistence for Boundary Problem Involving the p-Biharmonic Operator and Singular Nonlinearities
El Mokhtar, Mohammed El Mokhtar Ould
JOURNAL OF FUNCTION SPACES, 2023, 2023
[23] Existence and multiplicity of solutions for a singular problem involving the p-biharmonic operator in RN
Dhifli, Abdelwaheb
Alsaedi, Ramzi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 499 (02)
[24] On the p-harmonic and p-biharmonic maps
Mohammed Cherif A.
Journal of Geometry, 2018, 109 (3)
[25] On simplicity of spectra of p-biharmonic equations
Benedikt, J
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 58 (7-8) : 835 - 853
[26] Uniqueness theorem for p-biharmonic equations
Benedikt, Jiri
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2002,
[27] Entire solutions for a class of elliptic equations involving p-biharmonic operator and Rellich potentials
Bhakta, Mousomi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 423 (02) : 1570 - 1579
[28] CONTINUOUS DEPENDENCE OF EIGENVALUES OF p-BIHARMONIC PROBLEMS ON p
Benedikt, Jiri
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (03) : 1469 - 1486
[29] Eigenvalues of the p(x)-biharmonic operator with indefinite weight
Ge, Bin
Zhou, Qing-Mei
Wu, Yu-Hu
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (03): : 1007 - 1021
[30] Eigenvalues of the p(x)-biharmonic operator with indefinite weight
Bin Ge
Qing-Mei Zhou
Yu-Hu Wu
Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 1007 - 1021

← 1 2 3 4 5 →