On the continuity of the free boundary in the problem Δ p u = − ( h ( x , y ) χ ( u )) x : Applicable Analysis: Vol 86, No 9

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Abstract

We consider a two-dimensional free boundary problem involving the p-Laplacian. We show that the free boundary is the graph x = φ(y) of a continuous function.

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We are grateful for the facilities and financial support by KFUPM.

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On the continuity of the free boundary in the problem Δ_pu = − (h(x, y)χ(u))_x

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On the continuity of the free boundary in the problem Δpu = − (h(x, y)χ(u))x

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On the continuity of the free boundary in the problem Δ_pu = − (h(x, y)χ(u))_x