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math.AP2012
On the existence and uniqueness of p-harmonious functions
Hannes Luiro, Mikko Parviainen, Eero Saksman
We give a self-contained and short proof for the existence, uniqueness and measurability of so called -harmonious functions. The proofs only use elementary analytic tools. As a…
math.AP2012
On the Hamilton-Jacobi Equation and Infimal Convolution in the Framework of Sobolev-functions
Hannes Luiro
We study the regularity properties of the Hamilton-Jacobi flow equation and infimal convolution in the case where initial datum function is continuous and lies in given Sobolev-spa…