Up-to boundary regularity for a singular perturbation problem of p-Laplacian type |
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| Authors: | Aram L Karakhanyan |
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| Institution: | Center for Mathematics and Its Applications, The Australian National University, Canberra, ACT 0200, Australia |
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| Abstract: | In this paper we are interested in establishing up-to boundary uniform estimates for the one phase singular perturbation problem involving a nonlinear singular/degenerate elliptic operator. Our main result states: if Ω⊂Rn is a C1,α domain,  for some 0<α<1 and uε verifies |
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| Keywords: | Singular perturbation problem Free boundary problem p-Laplace operator Global gradient bounds |
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