Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 42, pp. 1-13.

Title: A note on a degenerate elliptic equation
       with applications for lakes and seas
       
Authors: Didier Bresch (Univ. Joseph Fourier, France)
         Jerome  Lemoine (Univ. Blaise Pascal et C.N.R.S., France)
	 Francisco Guillen-Gonzalez (Univ. de Sevilla, Spain)

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.
  
Submitted June 15, 2002. Published March 23, 2004.
Math Subject Classifications: 35Q30, 35B40, 76D05.
Key Words: Regularity result; degenerate elliptic equation; geophysics;
           weighted Sobolev spaces; splitting projection method.