In this paper we consider a weakly coupled p-Laplacian system of a Bernoulli type free boundary problem, through minimization of a corresponding functional. We prove various properties of any local minimizer and the corresponding free boundary.
In this paper we study the following parabolic systemwith free boundary ∂{|u| > 0}. For 0 ≤ q < 1, we prove optimal growth rate for solutions u to the above system near free boundary points, and show that in a uniform neighbourhood of any a priori well-behaved free boundary point the free boundary is C 1,α in space directions and half-Lipschitz in the time direction.
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