Abstract
In this paper we initiate the study of the nonlinear one phase singular perturbation problem divNjru j p 2 ru OENu O; N1<p<1O in a domain ⁄ of R N. We prove uniform Lipschitz regularity of uniformly bounded solutions. Once this is done we can pass to the limit to obtain a solution to the stationary case of a combus- tion problem with a nonlinearity of power type. (The casepE 2 has been considered earlier by several authors.)
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