Boundary Field Equation Methods For A Class Of Nonlinear Problems

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The Dirichlet Problem for the Laplacian in Bounded and Unbounded Domains

The Dirichlet Problem -?u=ƒ in G, u|?G=0 for the Laplacian in a domain GÌRn with boundary ?G is one of the basic problems in the theory of partial differential equations and it plays a fundamental role in mathematical physics and engineering.