LYAPUNOV-TYPE INEQUALITIES FOR PARTIAL DIFFERENTIAL EQUATIONS
Pablo L. De Nápoli, Napoli, Juan Pablo Pinasco · 2016
Abstract. In this work we present a Lyapunov inequality for linear and quasi-linear elliptic differential operators in N−dimensional domains Ω. We also con-sider singular and degenerate elliptic problems with Ap coefficients involving the p−Laplace operator with zero Dirichlet boundary condition. As an application of the inequalities obtained, we derive lower bounds for the first eigenvalue of the p−Laplacian, and compare them with the usual ones in the literature. 1.