Eigenvalue analysis for the \(p\)-Laplacian under convective perturbation

DOI10.1016/S0377-0427(99)00197-1zbMath0934.65082OpenAlexW2031671409MaRDI QIDQ1807767

M. Sanabria-García, Jorge García-Melián, José C. Sabina De Lis

Publication date: 27 April 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00197-1

zbMATH Keywords

eigenfunctionsDirichlet eigenvalue problemone-dimensional \(p\)-Laplacianconvective perturbation

Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Dirichlet problems for the \(p\)-Laplacian with a convection term ⋮ The convective eigenvalues of the one-dimensional \(p\)-Laplacian as \(p\rightarrow 1\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral analysis of nonlinear operators
• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• On the first eigenvalue of some quasilinear elliptic equations
• Global bifurcation from the eigenvalues of the \(p\)-Laplacian
• Sturm-Liouville theory for the radial \(\Delta_p\)-operator
• Maximum and comparison principles for operators involving the \(p\)-Laplacian
• Bifurcation Phenomena Associated to the p-Laplace Operator
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Asymptotic behaviour of the eigenvalues of the φ—laplacian
• Remarks on uniqueness results of the first eigenvalue of the p-Laplacian
• Addendum to On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0"
• Spectre d'ordre supérieur et problèmes de non-résonance

This page was built for publication: Eigenvalue analysis for the \(p\)-Laplacian under convective perturbation