scholarly journals A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle

2021 ◽  
Vol 20 (1) ◽  
pp. 145-158
Author(s):  
Gloria Paoli ◽  
◽  
Gianpaolo Piscitelli ◽  
Rossanno Sannipoli ◽  
Keyword(s):  
Eigenvalue Problem ◽  
Stability Result ◽  
Laplacian Eigenvalue

scholarly journals Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem

2018 ◽  
Vol 79 (2) ◽  
pp. 914-934
Author(s):  
Qilong Zhai ◽  
Hehu Xie ◽  
Ran Zhang ◽  
Zhimin Zhang
Keyword(s):  
Eigenvalue Problem ◽  
Galerkin Methods ◽  
Weak Galerkin ◽  
Laplacian Eigenvalue

scholarly journals Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Q-Heung Choi ◽  
Tacksun Jung
Keyword(s):  
Eigenvalue Problem ◽  
Boundary Value Problems ◽  
Sobolev Spaces ◽  
Contraction Mapping ◽  
Boundary Value ◽  
Degree Theory ◽  
Contraction Mapping Principle ◽  
Source Terms ◽  
Laplacian Eigenvalue ◽  
Jumping Nonlinearities

AbstractWe investigate the multiplicity of solutions for problems involving the fractional N-Laplacian. We obtain three theorems depending on the source terms in which the nonlinearities cross some eigenvalues. We obtain these results by direct computations with the eigenvalues and the corresponding eigenfunctions for the fractional N-Laplacian eigenvalue problem in the fractional Orlicz–Sobolev spaces, the contraction mapping principle on the fractional Orlicz–Sobolev spaces and Leray–Schauder degree theory.

Generalized Prüfer Angle and Variational Methods for p-Laplacian Eigenvalue Problems on the Half-Line

2008 ◽  
Vol 51 (3) ◽  
pp. 565-579 ◽  
Author(s):  
Paul Binding ◽  
Patrick J. Browne
Keyword(s):  
Eigenvalue Problem ◽  
Variational Methods ◽  
Eigenvalue Problems ◽  
Variational Principles ◽  
Nonlinear Eigenvalue Problem ◽  
Half Line ◽  
Laplacian Eigenvalue ◽  
Prüfer Angle ◽  
Image Position ◽  
And Variational Principles

AbstractThe nonlinear eigenvalue problemfor 0 ≤ x < ∞, fixed p ∈ (1, ∞), and with y′(0)/y(0) specified, is studied under conditions on q related to those of Brinck and Molanov. Topics include Sturmian results, connections between problems on finite intervals and the half-line, and variational principles.

The inverse nodal problem and the Ambarzumyan problem for the p-Laplacian

2009 ◽  
Vol 139 (6) ◽  
pp. 1261-1273 ◽  
Author(s):  
C. K. Law ◽  
Wei-Cheng Lian ◽  
Wei-Chuan Wang
Keyword(s):  
Asymptotic Expansion ◽  
Eigenvalue Problem ◽  
Laplacian Eigenvalue ◽  
One Dimensional ◽  
Inverse Nodal Problem ◽  
Nodal Problem ◽  
The One ◽  
Prüfer Substitution

We study the issues of the reconstruction and stability of the inverse nodal problem for the one-dimensional p-Laplacian eigenvalue problem. A key step is the application of a modified Prüfer substitution to derive a detailed asymptotic expansion for the eigenvalues and nodal lengths. Two associated Ambarzumyan problems are also solved.

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