This thesis is concerned with second order elliptic equations with cenain second
order boundary conditions which are called Venttsel boundary conditions. This sort of
boundary condition originally came from probability theory. An example of such a
boundary value problem of PDE also arises from a model in three dimensional water
wave theory. Venttsel boundary conditions contain Dirichlet, Neumann, oblique and
mixed boundary conditions as special cases, and from the probability point of view...[Show more]
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