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The Gelfand problem for the infinity Laplacian - MaRDI portal

The Gelfand problem for the infinity Laplacian (Q6195562)

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scientific article; zbMATH DE number 7817657

Language	Label	Description	Also known as
English	The Gelfand problem for the infinity Laplacian	scientific article; zbMATH DE number 7817657

Statements

scholarly article

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The Gelfand problem for the infinity Laplacian (English)

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Fernando Charro

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Mathematics in Engineering

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publication date

14 March 2024

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full work available at URL

https://arxiv.org/abs/2112.09247

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zbMATH Keywords

fully nonlinear

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infinity Laplacian

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Gelfand problem

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MaRDI profile type

MaRDI publication profile

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Existence and nonexistence results for quasilinear elliptic equations involving the \(p\)-Laplacian with a critical potential

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Existence of nonnegative viscosity solutions for a class of problems involving the \(\infty\)-Laplacian

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Remarks on sublinear elliptic equations

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Semi-stable and extremal solutions of reaction equations involving the \(p\)-Laplacian

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Surfaces with prescribed Gauss curvature

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Limits as \(p\rightarrow\infty \) of \(p\)-Laplacian problems with a superdiffusive power-type nonlinearity: positive and sign-changing solutions

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Limits as \(p \rightarrow \infty \) of \(p\)-Laplacian eigenvalue problems perturbed with a concave or convex term

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Limit Branch of Solutions as<i>p</i> → ∞ for a Family of Sub-Diffusive Problems Related to the<i>p</i>-Laplacian

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Limits as \(p\to \infty \) of \(p\)-Laplacian concave-convex problems

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User’s guide to viscosity solutions of second order partial differential equations

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Multiple bubbling for the exponential nonlinearity in the slightly supercritical case

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Limit as \(p\to \infty \) of \(p\)-Laplace eigenvalue problems and \(L^\infty \)-inequality of the Poincaré type.

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On an Emden-Fowler type equation

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Quasilinear problems with exponential growth in the reaction term

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Some problems in the theory of quasilinear equations

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\(p\)-Laplace operator and diameter of manifolds

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The Liouville-Bratu-Gelfand problem for radial operators

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Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient

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Quasilinear Dirichlet problems driven by positive sources

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Principal eigenvalue of a very badly degenerate operator and applications

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On the higher eigenvalues for the \(\infty\)-eigenvalue problem

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The \(\infty\)-eigenvalue problem

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On a familiy of torsional creep problems.

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On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0

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Addendum to On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0"

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On the Existence of Positive Solutions of Semilinear Elliptic Equations

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The convergence of nonnegative solutions for the family of problems −<i>Δ</i><sub><i>p</i></sub><i>u</i>=<i>λ</i>e<sup><i>u</i></sup>as<i>p</i>→<i>∞</i>

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Regularity of the extremal solution of some nonlinear elliptic problems involving the \(p\)-Laplacian

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Some properties of the ground states of the infinity Laplacian

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.3934/MINE.2023022

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Sitelinks

Mathematics(1 entry)

mardi Publication:6195562

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