# Everywhere differentiability of infinity harmonic functions

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We prove unique continuation properties for solutions of the evolution SchrÃ¶dinger equation with time dependent potentials. As an application of our method we also obtain results concerning the possible concentration profiles of blow up solutions and the possible profiles of the traveling...

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- The Dirichlet Problem for a Class of Quasilinear Elliptic Equation. Pengcheng Niu; Zixia Yuan // International Journal of Computational & Applied Mathematics;2007, Vol. 2 Issue 1, p43
The aim of this paper is to study solutions in Wloc1,p (Î©) âˆ© C (...) for Dirichlet problem of p-Laplace equations (1 < p â‰¤ n)with nonhomogeneous term. Using the explicit construction of local barrier functions and Perron method, we prove the existence of solutions under the...