Publications
Article · Kazakh mathematical journal. · October 14, 2026
On Sobolev and Poincaré Inequalities on Stratified Sets
N. S. Dairbekov, O. M. Penkin
Abstract
On a set Ω ⊂ ℝᴺ, composed of finitely many manifolds of various dimensions which adjoin one another in a special way, — a stratified set — we establish analogs of the Sobolev and Poincaré inequalities for functions in Sobolev type spaces in which the exponents depend on certain characteristics reflecting the internal geometric structure of Ω.
Geometric Analysis and Curvature FlowsNonlinear Partial Differential EquationsAdvanced Harmonic Analysis ResearchSobolev inequalitiesPoincaré inequalitystratified sets
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