On the fundamental eigenvalue ratio of the \(p\)-Laplacian

DOI10.1016/j.bulsci.2006.03.016zbMath1127.35012arXivmath/0411013OpenAlexW2113284226MaRDI QIDQ2463625

Evans M. II. Harrell, Francois de Thelin, Jacqueline Fleckinger-Pellé

Publication date: 14 December 2007

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411013

zbMATH Keywords

\(p\)-Laplacianeigenvalue gapeigenvalue ratio

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

Related Items

On a p-Laplacian eigenvalue problem with supercritical exponent, The ratio of eigenvalues of the Dirichlet eigenvalue problem for equations with one-dimensional \(p\)-Laplacian, Eigenvalue estimate of the \(p\)-Laplace operator, A third solution to the eigenvalue problem with supercritical exponent, Extinction properties of solutions for a class of fast diffusive \(p\)-Laplacian equations

Cites Work

• On the first eigenvalue of the \(p\)-Laplacian in a Riemannian manifold
• The Fredholm alternative at the first eigenvalue for the one dimensional \(p\)-Laplacian
• On the higher eigenvalues for the \(\infty\)-eigenvalue problem
• First eigenvalue for the \(p\)-Laplace operator
• Proof of the Payne-Pólya-Weinberger conjecture
• Some geometric bounds on eigenvalue gaps
• On trace identities and universal eigenvalue estimates for some partial differential operators
• Numerical approximation of the first eigenpair of thep-laplacian using finite elements and the penalty method
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