On first and second order planar elliptic equations with degeneracies

DOI10.1090/S0065-9266-2011-00634-9zbMath1250.35114arXiv0910.0539OpenAlexW2094519475MaRDI QIDQ2882486

Abdelhamid Meziani

Publication date: 6 May 2012

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

Full work available at URL: https://arxiv.org/abs/0910.0539

zbMATH Keywords

asymptotic behaviorfundamental matrixnormalizationkernelsvector fieldssemilineardegenerate ellipticspectral values

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Nonlinear higher-order PDEs (35G20) Linear first-order PDEs (35F05)

Related Items (12)

Normalization, optimal regularity, and solvability in Gevrey classes of vector fields near trapped orbits ⋮ A Łojasiewicz inequality in hypocomplex structures of ℝ² ⋮ Solvability of a first order differential operator on the two-torus ⋮ A Runge theorem for generalized analytic functions ⋮ Global solvability of real analytic complex vector fields in two variables ⋮ Properties of solutions of a class of hypocomplex vector fields ⋮ The Riemann–Hilbert problem for elliptic vector fields with degeneracies ⋮ Class of hypocomplex structures on the two-dimensional torus ⋮ Properties of solutions of a class of planar elliptic operators with degeneracies ⋮ Normalization and solvability of vector fields near trapped orbits ⋮ Cauchy integral operator in complex structures with degeneracies ⋮ Regularity of solutions to a Vekua-type equation on compact Lie groups

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