Computing the best constant in the Sobolev inequality for a ball (Q5741688)

scientific article; zbMATH DE number 7055083

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English	Computing the best constant in the Sobolev inequality for a ball	scientific article; zbMATH DE number 7055083

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instance of

scholarly article

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title

Computing the best constant in the Sobolev inequality for a ball (English)

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author

Júlio César do Espírito Santo

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15 May 2019

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zbMATH Keywords

$p$-Laplacian

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minimizer

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/00036811.2017.1422723

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cites work

Q3771040

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Rearrangements and convexity of level sets in PDE

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Symmetry results for functions yielding best constants in Sobolev-type inequalities.

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An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem

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Q5187776

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Absolute continuity of the best Sobolev constant

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Problèmes isoperimetriques et espaces de Sobolev

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Best constant in Sobolev inequality

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Estimates of the principal eigenvalue of the $p$-Laplacian

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Asymptotics for the principal eigenvalue of the $p$-Laplacian on the ball as $p$ approaches 1

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Estimation on the first eigenvalue for some nonlinear Dirichlet eigenvalue problems

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Positive Solutions for the p-Laplacian and Bounds for its First Eigenvalue

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On the eigenvalues of the $p$-Laplacian with varying $p$

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The $\infty$-eigenvalue problem

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Q5488142

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Finite volume schemes for the p-Laplacian on Cartesian meshes

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Computing the first eigenpair of the $p$-Laplacian via inverse iteration of sublinear supersolutions

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Computing the first eigenvalue of the $p$-Laplacian via the inverse power method

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Computing eigenvalues and Fučik-spectrum of the radially symmetric $p$-Laplacian

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Computing the first eigenpair of the $p$-Laplacian in annuli

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High order iterative methods without derivatives for solving nonlinear equations

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Numerical approximation of the first eigenpair of the<i>p</i>-laplacian using finite elements and the penalty method

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A note on the asymptotic behavior of positive solutions for some elliptic equation

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On a problem of Huang concerning best constants in Sobolev embeddings

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Regularity results for the best-Sobolev-constant function

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Remarks on the behavior of the best Sobolev constants

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Counting peaks of solutions to some quasilinear elliptic equations with large exponents

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Asymptotics for the best Sobolev constants and their extremal functions

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Computing the $\sin_p$ function via the inverse power method

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Existence and multiplicity of positive solutions for the $p$-Laplacian with nonlocal coefficient

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Inequalities for quasiconformal mappings in space

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Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.

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Q2714717

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Boundary regularity for solutions of degenerate elliptic equations

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Quasilinear elliptic equations with nearly critical growth

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Identifiers

zbMATH Open document ID

1418.35198

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DOI

10.1080/00036811.2017.1422723

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5741688