A system of local/nonlocal p-Laplacians: The eigenvalue problem and its asymptotic limit as p → ∞
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Publication:5081928
DOI10.3233/ASY-211702MaRDI QIDQ5081928
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Publication date: 17 June 2022
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.05985
Elliptic equations and elliptic systems (35J99) Second-order elliptic systems (35J47) Quasilinear elliptic equations with (p)-Laplacian (35J92) Variational methods for eigenvalues of operators (49R99)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlocal diffusion and applications
- Existence results for fractional \(p\)-Laplacian problems via Morse theory
- Limit problems for a fractional \(p\)-Laplacian as \(p\to\infty\)
- The limit as \({p\to\infty}\) in the eigenvalue problem for a system of \(p\)-Laplacians
- Local behavior of fractional \(p\)-minimizers
- Nonuniqueness of infinity ground states
- Hitchhiker's guide to the fractional Sobolev spaces
- Remarks on the strong maximum principle.
- Sharp regularity estimates for quasi-linear elliptic dead core problems and applications
- Eigenvalues for systems of fractional \(p\)-Laplacians
- The \(\infty\)-eigenvalue problem
- A direct uniqueness proof for equations involving the \(p\)-Laplace operator
- Limit as \(p\to \infty \) of \(p\)-Laplace eigenvalue problems and \(L^\infty \)-inequality of the Poincaré type.
- Limits as \(p \rightarrow \infty \) of \(p\)-Laplacian eigenvalue problems perturbed with a concave or convex term
- A limiting problem for local/non-local \(p\)-Laplacians with concave-convex nonlinearities
- Eigenvalues for a combination between local and nonlocal \(p\)-Laplacians
- A limiting obstacle type problem for the inhomogeneous \(p\)-fractional Laplacian
- A limiting free boundary problem with gradient constraint and tug-of-war games
- The limit as \(p \to + \infty\) of the first eigenvalue for the \(p\)-Laplacian with mixed Dirichlet and Robin boundary conditions
- Eigenvalue problems for the \(p\)-Laplacian
- An optimal mass transport approach for limits of eigenvalue problems for the fractional \(p\)-Laplacian
- Fractional eigenvalues
- Non-local Diffusions, Drifts and Games
- Regularity properties for p−dead core problems and their asymptotic limit as p→∞
- A Hölder infinity Laplacian
- Nonlocal Operators with Applications to Image Processing
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- A First Course in Sobolev Spaces
- The ∞-Fucík spectrum
- The limit as $p\rightarrow \infty $ in free boundary problems with fractional $p$-Laplacians
- Recent progresses in the theory of nonlinear nonlocal problems
- On the second eigenvalue of combination between local and nonlocal 𝑝-Laplacian
- Fractional p-eigenvalues
- Some properties of the ground states of the infinity Laplacian
- Limit Branch of Solutions asp → ∞ for a Family of Sub-Diffusive Problems Related to thep-Laplacian
- Positive eigenfunctions for the p-Laplace operator revisited
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