Properties of solutions of a class of planar elliptic operators with degeneracies

DOI10.1090/S0002-9939-2011-10826-8zbMath1234.35110OpenAlexW2084776279MaRDI QIDQ3103269

Abdelhamid Meziani, Paulo L. Dattori da Silva

Publication date: 7 December 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10826-8

zbMATH Keywords

elliptic equationsnormalizationseries representation

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Series solutions to PDEs (35C10) Linear first-order PDEs (35F05)

Cites Work

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• Global properties of a class of vector fields in the plane
• \(C^k\)-solvability near the characteristic set for a class of planar complex vector fields of infinite type
• Nonexistence of global solutions for a class of complex vector fields on two-torus
• On first and second order planar elliptic equations with degeneracies
• Global Solvability for a Class of Complex Vector Fields on the Two-Torus
• Representation of solutions of a singular Cauchy–Riemann equation in the plane
• Properties of solutions of a planar second-order elliptic equation with a singularity
• Demarks about certain first-order linear pdf in two variables

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