The monotonicity of the principal frequency of the anisotropic \(p\)-Laplacian

DOI10.5802/CRMATH.348zbMath1498.35374OpenAlexW4297998680MaRDI QIDQ2080938

Mihai Mihăilescu, Denisa Stancu-Dumitru, Marian F. Bocea

Publication date: 12 October 2022

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.348

zbMATH Keywords

variational characterization for principal frequencies

Mathematics Subject Classification ID

Variational inequalities (49J40) Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Spectral theory; eigenvalue problems on manifolds (58C40) Variational methods for eigenvalues of operators (49R05) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• On nonlinear Rayleigh quotients
• Isoperimetric inequalities, Wulff shape and related questions for strongly nonlinear elliptic operators
• Note on a nonlinear eigenvalue problem
• The \(\infty\)-eigenvalue problem
• Limit as \(p\to \infty \) of \(p\)-Laplace eigenvalue problems and \(L^\infty \)-inequality of the Poincaré type.
• On the monotonicity of the principal frequency of the \(p\)-Laplacian
• On the second Dirichlet eigenvalue of some nonlinear anisotropic elliptic operators
• Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle
• The \(p\)-Laplace eigenvalue problem as \(p\to\infty\) in a Finsler metric
• On the eigenvalues of the $p$-Laplacian with varying $p$
• Minimization problems for inhomogeneous Rayleigh quotients
• Unnamed Item

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