Weighted Sobolev spaces and boundary behavior of solutions to degenerate hypoelliptic equations

DOI10.1007/BF02110147zbMath0878.46024OpenAlexW2315880237MaRDI QIDQ1921777

Sergei Vodop'yanov

Publication date: 11 December 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02110147

zbMATH Keywords

regularitypotential theoryvector fieldsWiener criterion\(p\)-admissibilityHörmander's conditionsimproper boundaryquasilinear degenerate hypoelliptic equation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (6)

Singular subelliptic equations and Sobolev inequalities on Carnot groups ⋮ Prime ends in the Heisenberg group $\mathbb{H}_{1}$ and the boundary behavior of quasiconformal mappings ⋮ Unnamed Item ⋮ Three-spheres theorems for subelliptic quasilinear equations in Carnot groups of Heisenberg-type ⋮ Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics ⋮ On semilinear equations with free boundary conditions on stratified Lie groups

Cites Work

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• The Wiener test for degenerate elliptic equations
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• Spectral synthesis in Sobolev spaces and uniqueness of solutions of the Dirichlet problem
• Spectral synthesis in Sobolev weighted spaces
• Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications
• Hypoelliptic second order differential equations
• Quasi topologies and rational approximation
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Approximation in L p by Solutions of Elliptic Partial Differential Equations

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