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Click on the DOI link below to access the article (may not be free).The main result of this paper concerns existence of classical solutions to the multi-layerBernoulli free boundary problem with nonlinear joining conditions and the p-Laplacian as gov-erning operator. The present treatment of the 2-layer case involves technical re¯nements of theone-layer case, studied earlier by two of the authors. The existence treatment of the multi-layercase is largely based on a reduction to the two-layer case, in which uniform separation of thefree boundaries plays a key role.Peer reviewe

The multi-layer free boundary problem for the p-Laplacian in convex domains