Principal eigenvalue of a very badly degenerate operator and applications
From MaRDI portal
Publication:883343
DOI10.1016/j.jde.2007.01.020zbMath1132.35066OpenAlexW1991369319WikidataQ109406490 ScholiaQ109406490MaRDI QIDQ883343
Publication date: 4 June 2007
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2007.01.020
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)
Related Items
The eigenvalue problem for a class of degenerate operators related to the normalized \(p\)-Laplacian ⋮ Harnack inequality and principal eigentheory for general infinity Laplacian operators with gradient in \(\mathbb{R}^N\) and applications ⋮ A Porous Medium Equation Involving the Infinity-Laplacian. Viscosity Solutions and Asymptotic Behavior ⋮ The sublinear problem for the 1-homogeneous 𝑝-Laplacian ⋮ Concavity maximum principle for viscosity solutions of singular equations ⋮ A lower bound for the principal eigenvalue of fully nonlinear elliptic operators ⋮ The limit as \(p\rightarrow \infty \) for the eigenvalue problem of the 1-homogeneous \(p\)-Laplacian ⋮ Liouville Theorems for infinity Laplacian with gradient and KPP type equation ⋮ How I met the normalized \(p\)-Laplacian \(\Delta_p^N\) and what we know now about mean values and concavity properties ⋮ Degenerate homogeneous parabolic equations associated with the infinity-Laplacian ⋮ A family of degenerate elliptic operators: maximum principle and its consequences ⋮ The Gelfand problem for the infinity Laplacian ⋮ Asymptotic boundary estimates to infinity Laplace equations with \(\Gamma\)-varying nonlinearity ⋮ A weighted eigenvalue problem of the degenerate operator associated with infinity Laplacian ⋮ Asymptotic mean value properties for the \(p\)-Laplacian ⋮ Asymptotic estimates of boundary blow-up solutions to the infinity Laplace equations ⋮ The principal eigenvalue of the ∞-Laplacian with the Neumann boundary condition ⋮ The first eigenvalue of the \(p-\)Laplacian on quantum graphs ⋮ Separable infinity harmonic functions in cones ⋮ On the geometry of the \(p\)-Laplacian operator ⋮ The Brunn-Minkowski inequality for the principal eigenvalue of fully nonlinear homogeneous elliptic operators ⋮ Eigenvalues for Radially Symmetric Fully Nonlinear Operators ⋮ Regularity and uniqueness of the first eigenfunction for singular fully nonlinear operators ⋮ Eigenvalues for radially symmetric fully nonlinear singular or degenerate operators ⋮ A boundary-value problem for normalized Finsler infinity-Laplacian equations with singular nonhomogeneous terms ⋮ A mixed problem for the infinity Laplacian via tug-of-war games ⋮ Asymptotic behavior of viscosity solutions for a degenerate parabolic equation associated with the infinity-Laplacian ⋮ On the first eigenvalue of the normalized 𝑝-Laplacian ⋮ ZERO ORDER PERTURBATIONS TO FULLY NONLINEAR EQUATIONS: COMPARISON, EXISTENCE AND UNIQUENESS ⋮ Principal eigenvalues and an anti-maximum principle for homogeneous fully nonlinear elliptic equations ⋮ Eigenvalue and Dirichlet problem for fully-nonlinear operators in non-smooth domains ⋮ Stability and distributed control of degenerate diffusion equations ⋮ On the viscosity solutions of eigenvalue problems for a class of nonlinear elliptic equations ⋮ A weighted eigenvalue problem of the biased infinity Laplacian * ⋮ Maximum principle and generalized principal eigenvalue for degenerate elliptic operators ⋮ Generalized principal eigenvalues on \({\mathbb{R}}^d\) of second order elliptic operators with rough nonlocal kernels ⋮ A singular boundary value problem for a degenerate elliptic PDE
Cites Work
- Unnamed Item
- Unnamed Item
- Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
- Existence of a positive solution to a ``semilinear equation involving Pucci's operator in a convex domain.
- Nonlinear eigenvalues and bifurcation problems for Pucci's operators
- On the higher eigenvalues for the \(\infty\)-eigenvalue problem
- The \(\infty\)-eigenvalue problem
- Limit as \(p\to \infty \) of \(p\)-Laplace eigenvalue problems and \(L^\infty \)-inequality of the Poincaré type.
- Positive radial solutions to a {\` semilinear\'} equation involving the Pucci's operator
- Comparison principle and Liouville type results for singular fully nonlinear operators
- First eigenvalue and maximum principle for fully nonlinear singular operators
- Eigenvalue, maximum principle and regularity for fully non linear homogeneous operators
- On the evolution governed by the infinity Laplacian
- Extension of functions satisfying Lipschitz conditions
- On the principal eigenvalues and the Dirichlet problem for fully nonlinear operators
- Tug-of-war and the infinity Laplacian
- User’s guide to viscosity solutions of second order partial differential equations
- The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
- An axiomatic approach to image interpolation
- A tour of the theory of absolutely minimizing functions
- The infinity Laplacian, Aronsson's equation and their generalizations
- Asymptotic behaviour of nonlinear eigenvalue problems involving $p$-Laplacian-type operators