Some constructions with solutions of variable coefficient elliptic equations
We give a characterization of pairs of functionsf, g on the boundary of a compact manifold, which are the Dirichlet and Neumann boundary values for a solution of some second-order linear divergence-form elliptic equation, and we apply this to some other related questions in potential theory.
Math Subject Classification31B35
Key Words and PhrasesCritical point divergence-form elliptic equation
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