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Resolvents in Semi-linear Harmonic Spaces
Authors:van Gool  Frans
Affiliation:(1) Faculty of Applied Physics, Section Computational Physics, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands
Abstract:We will show that the semi-linear potential kernels defined in [4] have a resolvent associated with them. Furthermore, the bounded excessive functions of this resolvent correspond to the bounded hyperharmonic functions as they do in linear potential theory.
Keywords:Nonlinear potential theory  resolvents  semi-linear perturbations  excessive functions
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