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A note on a degenerate elliptic equation with applications for lakes and seasKeywords: Regularity result , degenerate elliptic equation , geophysics , weighted Sobolev spaces , splitting projection method. Abstract: In this paper, we give an intermediate regularity result on a degenerate elliptic equation with a weight blowing up on the boundary. This kind of equations is encountoured when modelling some phenomena linked to seas or lakes. We give some examples where such regularity is useful.
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