# Boundary blow-up for a Brezis-Peletier problem on a singular domain

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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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Given a symmetric Riemannian manifold (M, g), we show some results of genericity for non degenerate sign changing solutions of singularly perturbed nonlinear elliptic problems with respect to the parameters: the positive number âˆˆ and the symmetric metric g. Using these results we obtain a...

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In this article, we consider degenerate and singular elliptic systems of the form -div(hâ‚ (x)âˆ‡u) = bâ‚ (x)|u|r-2u + Fu(x, u, v) in Î©, -div(hâ‚‚ (x)âˆ‡v) = bâ‚‚ (x)|v|r-2v + Fv(x, u, v) in Î©, where is Î© a bounded domain in RN, N â‰¥ 2, with smooth...

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This paper concerns the homogenization of two nonlinear models for chemical reactive flows through the exterior of a domain containing periodically distributed reactive solid grains (or reactive obstacles). In the first model, the chemical reactions take place on the walls of the grains, while...