Free boundary problems for the laplace equation: A priori estimates,existence theorems,asymptotic behaviours |
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| Authors: | A Dervieux H Kawarada H Fujita |
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| Abstract: | This work is devoted to Free Boundary Problems with Laplace equation Δu = f in the domain and the two conditions on the Free Boundary u = 1 and |grad u| = λ = const. In the model problems which we study, three cases arise: 1) f = 0, λ is given, 2) f = 0, λ is unknown and the length of the Free Boundary is given, 3) f ≠ 0, λ = 0 (Obstacle Problem). |
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