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On fractional Laplacians – 3 (Q2994675)

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Language	Label	Description	Also known as
English	On fractional Laplacians – 3	scientific article

Statements

scholarly article

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On fractional Laplacians – 3 (English)

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Alexander I. Nazarov

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ESAIM: Control, Optimisation and Calculus of Variations

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publication date

3 August 2016

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zbMATH Keywords

fractional Laplace operators

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Navier and Dirichlet boundary conditions

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Sobolev inequality

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critical dimensions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1051/cocv/2015032

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On some critical problems for the fractional Laplacian operator

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates

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An Extension Problem Related to the Fractional Laplacian

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Classification of solutions for an integral equation

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Perturbations of a critical fractional equation

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Best constants for Sobolev inequalities for higher order fractional derivatives

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Hardy inequalities with optimal constants and remainder terms

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Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains

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Sharp Sobolev inequalities in critical dimensions.

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Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)

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A simple approach to Hardy inequalities

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On Fractional Laplacians

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Non-critical dimensions for critical problems involving fractional Laplacians

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On the Sobolev and Hardy constants for the fractional Navier Laplacian

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Critical exponents and critical dimensions of polyharmonic operators

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The Brezis-Nirenberg result for the fractional Laplacian

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A Brezis-Nirenberg result for non-local critical equations in low dimension

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Extension Problem and Harnack's Inequality for Some Fractional Operators

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The Brezis-Nirenberg type problem involving the square root of the Laplacian

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Best constant for the embedding of the space \(H^ 2\cap H^ 1_ 0(\Omega)\) into \(L^{2N/(N-4)}\Omega\)

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Identifiers

zbMATH Open document ID

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10.1051/cocv/2015032

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2994675

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