On principal eigenvalues of measure differential equations and a patchy Neumann eigenvalue problem

2021 ◽  
Vol 286 ◽  
pp. 710-730
Author(s):  
Zhiyuan Wen
Keyword(s):  
Eigenvalue Problem ◽  
Differential Equations ◽  
Principal Eigenvalues ◽  
Neumann Eigenvalue

scholarly journals On a positive solution for $(p,q)$-Laplace equation with Nonlinear

2019 ◽  
Vol 38 (4) ◽  
pp. 219-133
Author(s):  
Abdellah Zerouali ◽  
Belhadj Karim ◽  
Omar Chakrone ◽  
Abdelmajid Boukhsas
Keyword(s):  
Eigenvalue Problem ◽  
Positive Solution ◽  
Laplace Equation ◽  
Existence Results ◽  
Indefinite Weight ◽  
Principal Eigenvalues ◽  
Steklov Eigenvalue ◽  
Indefinite Weights ◽  
Steklov Eigenvalue Problem

In the presentp aper, we study the existence and non-existence results of a positive solution for the Steklov eigenvalue problem driven by nonhomogeneous operator $(p,q)$-Laplacian with indefinite weights. We also prove that in the case where $\mu>0$ and with $1<q<p<\infty$ the results are completely different from those for the usua lSteklov eigenvalue problem involving the $p$-Laplacian with indefinite weight, which is retrieved when $\mu=0$. Precisely, we show that when $\mu>0$ there exists an interval of principal eigenvalues for our Steklov eigenvalue problem.

The neumann eigenvalue problem

1973 ◽  
Vol 3 (3) ◽  
pp. 213-240 ◽  
Author(s):  
Gaetano Fichera
Keyword(s):  
Eigenvalue Problem ◽  
Neumann Eigenvalue

scholarly journals Travelling wave solutions for rich flames of reactive suspensions

1988 ◽  
Vol 30 (1) ◽  
pp. 89-100 ◽  
Author(s):  
K. K. Tam
Keyword(s):  
Approximate Solution ◽  
Eigenvalue Problem ◽  
Differential Equations ◽  
Shooting Method ◽  
Nonlinear Eigenvalue Problem ◽  
Travelling Wave ◽  
Travelling Wave Solutions ◽  
Existence Of A Solution ◽  
Wave Solutions ◽  
The Given

AbstractThe modelling of the combustion of dust suspensions leads to a nonlinear eigenvalue problem for a system of ordinary differential equations defined over an infinite interval. The equations contain a number of parameters. In this study, the shooting method is used to prove the existence of a solution. Linearisation is then used to provide an approximate solution, from which an estimate of the eigenvalue and its dependence on the given parameters can be obtained.

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