Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024626 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 9 Pages |
Abstract
That a superposition of fundamental solutions to the p-Laplace Equation is p-superharmonic-even in the non-linear cases p>2-has been known since M. Crandall and J. Zhang published their paper Another Way to Say Harmonic in 2003. We give a simple proof and extend the result by means of an explicit formula for the p-Laplacian of the superposition.
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Authors
Karl K. Brustad,