Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space

Abstract

We prove the existence of a solution to a quasilinear system of degenerate equations, when the datum is in a Marcinkiewicz space. The main assumption asks the off-diagonal coefficients to have support in the union of a geometric progression of squares.

Keywords

• degenerate elliptic system
• marcinkiewicz space
• existence of solution