On the monotonicity of the principal frequency of the \(p\)-Laplacian
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Publication:2225139
DOI10.1515/ACV-2018-0022zbMath1458.35294OpenAlexW2913953432MaRDI QIDQ2225139
Mihai Mihăilescu, Marian F. Bocea
Publication date: 5 February 2021
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/acv-2018-0022
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Periodic solutions to PDEs (35B10) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (6)
Monotonicity properties for the variational Dirichlet eigenvalues of the \(p\)-Laplace operator ⋮ The monotonicity of the \(p\)-torsional rigidity in convex domains ⋮ Asymptotic behavior and monotonicity of radial eigenvalues for the \(p\)-Laplacian ⋮ A monotonicity property of the \(p\)-torsional rigidity ⋮ The monotonicity of the principal frequency of the anisotropic \(p\)-Laplacian ⋮ On the monotonicity of the best constant of Morrey’s inequality in convex domains
Cites Work
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- 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 Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- On the eigenvalues of the $p$-Laplacian with varying $p$
- Minimization problems for inhomogeneous Rayleigh quotients
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