Existence of Weak Solutions of Linear Subelliptic Dirichlet Problems with Rough Coefficients

DOI10.4153/CJM-2012-029-1zbMath1270.35207arXiv1108.0035OpenAlexW2963747870MaRDI QIDQ3143315

Scott Rodney

Publication date: 29 November 2012

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0035

zbMATH Keywords

degenerate Sobolev spacesdegenerate quadratic formslocal Poincaré and Sobolev inequalities

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Subelliptic equations (35H20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Existence of weak solutions to degenerate \(p\)-Laplacian equations and integral formulas ⋮ The fundamental gap of a kind of sub-elliptic operator ⋮ Bounded weak solutions to elliptic PDE with data in Orlicz spaces ⋮ Existence and spectral theory for weak solutions of Neumann and Dirichlet problems for linear degenerate elliptic operators with rough coefficients

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