On fractional Laplacians – 3

DOI10.1051/cocv/2015032zbMath1354.35179OpenAlexW2418625787MaRDI QIDQ2994675

Roberta Musina, Alexander I. Nazarov

Publication date: 3 August 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2015032

zbMATH Keywords

Sobolev inequalitycritical dimensionsfractional Laplace operatorsNavier and Dirichlet boundary conditions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Applications of functional analysis to differential and integral equations (46N20) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items

Multiplicity of positive solutions to the boundary-value problems for fractional Laplacians, Fractional Laplacians : a short survey, A New Type of Identification Problems: Optimizing the Fractional Order in a Nonlocal Evolution Equation, On the attainability of the best constant in fractional Hardy-Sobolev inequalities involving the spectral Dirichlet Laplacian, Eigenvalue bounds of mixed Steklov problems, The effect of curvature in fractional Hardy–Sobolev inequality involving the spectral Dirichlet Laplacian, Pointwise regularity for fractional equations, Positive ground state solutions for quasicritical the fractional Klein–Gordon–Maxwell system with potential vanishing at infinity, Positive solutions for semilinear fractional elliptic problems involving an inverse fractional operator

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