A note on a degenerate elliptic equation with applications for lakes and seas
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35Q30, 35B40, 76D05
Keywords: regularity result, degenerate elliptic equation, geophysics, weighted Sobolev spaces, splitting projection method
@article{EJDE_2004__2004__a108,
     author = {Bresch, Didier and Lemoine, Jerome and Guillen-Gonzalez, Francisco},
     title = {A note on a degenerate elliptic equation with applications for lakes and seas},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a108/}
}
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Bresch, Didier; Lemoine, Jerome; Guillen-Gonzalez, Francisco. A note on a degenerate elliptic equation with applications for lakes and seas. Electronic Journal of Differential Equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a108/