A note on local minimizers of energy on complete manifolds

DOI10.12775/TMNA.2022.013MaRDI QIDQ2688173

José I. Santos, Márcio Batista

Publication date: 2 March 2023

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-60/issue-2/A-note-on-local-minimizers-of-energy-on-complete-manifolds/10.12775/TMNA.2022.013.full

zbMATH Keywords

stabilitymanifoldsminimizer

Mathematics Subject Classification ID

Rigidity results (53C24) PDEs on manifolds (35R01)

Related Items (1)

Symmetry of solutions to semilinear PDEs on Riemannian domains

Cites Work

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• Analysis of weighted Laplacian and applications to Ricci solitons
• On De Giorgi's conjecture in dimension \(N\geq 9\)
• Sectional curvature for Riemannian manifolds with density
• Comparison geometry for the Bakry-Emery Ricci tensor
• On a conjecture of De Giorgi and some related problems
• On De Giorgi's conjecture in dimensions 4 and 5
• Parabolicity of manifolds
• Stable solutions of the Allen-Cahn equation in dimension 8 and minimal cones
• Regularity of flat level sets in phase transitions
• Geometry of manifolds with densities
• Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
• Variétés kählériennes à première classe de Chern non negative et variétés riemanniennes à courbure de Ricci généralisée non negative. (Kählerian manifolds of non-negative first Chern class and Riemannian manifolds with non-negative generalized Ricci curvature)
• Constant mean curvature surfaces in homogeneously regular 3-manifolds
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete surfaces with constant mean curvature
• Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi
• Conformal invariants associated to a measure
• Splitting Theorems, Symmetry Results and Overdetermined Problems for Riemannian Manifolds

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