Sobolev inequalities and isolation results for harmonic maps

DOI10.1006/JFAN.1996.0082zbMath0868.53027OpenAlexW1984287865MaRDI QIDQ1815488

Said Ilias

Publication date: 8 July 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.0082

zbMATH Keywords

semilinear elliptic equationsRicci curvatureharmonic mapsSobolev inequalityconvex boundary

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Harmonic maps, etc. (58E20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (8)

Uniqueness results on a geometric PDE in Riemannian and CR geometry revisited ⋮ Some isolation results for \(f\)-harmonic maps on weighted Riemannian manifolds with boundary ⋮ Uniqueness results on surfaces with boundary ⋮ Liouville type theorems for positive harmonic functions on the unit ball with a nonlinear boundary condition ⋮ Sobolev inequalities on a weighted Riemannian manifold of positive Bakry-Émery curvature and convex boundary ⋮ Uniqueness results on CR manifolds ⋮ On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below ⋮ Integral estimates for energy densities of non-constant harmonic maps

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