Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition

Abstract

Abstract The aim of this study is to prove Lyapunov-type inequalities for a quasilinear elliptic equation in R 2 $\mathbb{R}^{2}$ . Also the lower bound for the first positive eigenvalue of the boundary value problem is obtained.

Keywords

• Lyapunov-type inequalities
• elliptic equations
• Robin boundary conditions