Vector analysis on symmetric manifolds and Sobolev inequalities

DOI10.1007/s12215-022-00792-1OpenAlexW4289745216WikidataQ114221062 ScholiaQ114221062MaRDI QIDQ2089945

Nikos Labropoulos

Publication date: 24 October 2022

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00792-1

zbMATH Keywords

Sobolev inequalitiessolid torusbest constantssymmetric manifoldssupercritical elliptic PDEs

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Group actions and symmetry properties (58D19) Best constants in approximation theory (41A44) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the best constants in Sobolev inequalities on the solid torus in the limit case \(p = 1\)
• A geometric characterization of a sharp Hardy inequality
• Doubly optimal homogeneous trace Sobolev inequality in a solid torus
• Exponential elliptic boundary value problems on a solid torus in the critical of supercritical case
• Sharp Nash inequalities on manifolds with boundary in the presence of symmetries
• Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
• Sharp Hardy inequalities on the solid torus
• Problèmes de Neumann non linéaires sur les variétés riemanniennes
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Best constants in Sobolev inequalities on manifolds with boundary in the presence of symmetries and applications
• Problèmes isoperimetriques et espaces de Sobolev
• The best constants problem in Sobolev inequalities
• Sobolev spaces in the presence of symmetries
• Best constants in Sobolev trace inequalities
• Optimal constants in critical Sobolev inequalities on Riemannian manifolds in the presence of symmetries
• Best constants in Sobolev inequalities on Riemannian manifolds in the presence of symmetries
• Analytical approach of the symmetry: sharp supercritical Hardy-Sobolev inequalities and applications
• The best constant for the Sobolev trace embedding from \(W^{1,1}(\Omega)\) into \(L^1(\partial\Omega)\)
• The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds
• Nonlinear elliptic equations with supercritical Sobolev exponent
• Best constants in the Sobolev imbedding theorem
• On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth
• Ledoux-type rigidity results on manifolds with boundary in the presence of symmetries
• A strong maximum principle for some quasilinear elliptic equations
• Quasilinear elliptic equations involving critical Sobolev exponents
• The sharp Sobolev trace inequality in a limiting case
• The 𝐴𝐵 program in geometric analysis: sharp Sobolev inequalities and related problems

This page was built for publication: Vector analysis on symmetric manifolds and Sobolev inequalities