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Nowadays people usually consider PDEs in weak formulations only, so I have a hard time finding statements about the existence of classical solutions of the Poisson equation with mixed Dirichlet-Neumann boundary conditions.
Maybe someone here can help me and point to a book or article where I can find sufficient conditions on the right hand side that guarantee the existence of a C^2 solution.
Maybe someone here can help me and point to a book or article where I can find sufficient conditions on the right hand side that guarantee the existence of a C^2 solution.