A note on a degenerate elliptic equation with applications for lakes and seas

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.

Keywords

• Regularity result
• degenerate elliptic equation
• geophysics
• weighted Sobolev spaces
• splitting projection method.