On the solution of elliptic partial differential equations with an unbounded Dirichlet integral

Nečas, J.

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The Dirichlet problem for a singular elliptic equation

Nguyen Phuong Các (1976)

Annales de l'institut Fourier

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We study the solvability of the Dirichlet problem for a linear elliptic operator of the second order in which the coefficients of the first order derivatives become infinite on a portion of the boundary. The study makes use of Schauder’s estimates and suitably constructed barriers.