Solutions of the equation \(f_y u_x-f_xu_y=g\). (English) Zbl 0919.35031

Summary: We study locally, on a neighborhood of an isolated singular point, the existence of solutions of the partial differential equation \(f_y u_x-f_x u_y= g\), in the real analytic case. We suppose that the function \(f\) has a minimum at the origin.


35F05 Linear first-order PDEs
35A20 Analyticity in context of PDEs
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