A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space

Abstract

We show that a system of quasilinear degenerate elliptic inequalities does not have non-trivial solutions for a certain range of parameters in the system. The proof relies on a suitable choice of the test function in the weak formulation of the inequalities.

Keywords

• Elliptic systems
• nonexistence.