Sobolev inequalities for fractional Neumann Laplacians on half spaces

DOI10.1515/acv-2018-0020zbMath1459.35100OpenAlexW2896482971WikidataQ129103939 ScholiaQ129103939MaRDI QIDQ2225138

Roberta Musina, Alexander I. Nazarov

Publication date: 5 February 2021

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv-2018-0020

zbMATH Keywords

Sobolev constantsfractional Neumann Laplacians

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (5)

On fractional higher-order Dirichlet boundary value problems: Between the Laplacian and the bilaplacian ⋮ The effect of curvature in fractional Hardy–Sobolev inequality involving the spectral Dirichlet Laplacian ⋮ Minimizers for the fractional Sobolev inequality on domains ⋮ On a Rayleigh-Faber-Krahn Inequality for the Regional Fractional Laplacian ⋮ Solvability of a critical semilinear problem with the spectral Neumann fractional Laplacian

Cites Work

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• Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents
• Nonlocal problems with Neumann boundary conditions
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Integration by parts formula for regional fractional Laplacian
• On a Sobolev-type inequality related to the weighted \(p\)-Laplace operator
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
• Fractional Hardy-Sobolev inequalities on half spaces
• Minimizers for the fractional Sobolev inequality on domains
• Best constants for Sobolev inequalities for higher order fractional derivatives
• The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets
• A fractional Dirichlet-to-Neumann operator on bounded Lipschitz domains
• The \(p\)-Laplace operator with the nonlocal Robin boundary conditions on arbitrary open sets
• Dirichlet and Neumann problems to critical Emden-Fowler type equations
• The role of the mean curvature in semilinear neumann problem involving critical exponent
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Fractional Hardy–Sobolev type inequalities for half spaces and John domains
• A Neumann problem with critical exponent in nonconvex domains and Lin-Ni’s conjecture
• Sharp Hardy–Littlewood–Sobolev Inequality on the Upper Half Space
• Strong maximum principles for fractional Laplacians
• SHARP CONSTANTS IN THE POINCARÉ, STEKLOV AND RELATED INEQUALITIES (A SURVEY)
• Minimum Value for c in the Sobolev Inequality $\| {\phi ^3 } \|\leqq c\| {\nabla \phi } \|^3 $
• BOUNDARY PROBLEMS FOR FRACTIONAL LAPLACIANS
• Nonlocal equations in bounded domains: a survey

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