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arXiv · 1304.6988

Lyapunov-type Inequalities for Partial Differential Equations

Pablo L. De Nápoli·Juan P. Pinasco
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Abstract

In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in $N-$dimensional domains $\Omega$. We also consider singular and degenerate elliptic problems with $A_p$ 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.

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Pablo L. De Nápoli, Juan P. Pinasco. 2013-04-25. Lyapunov-type Inequalities for Partial Differential Equations. https://arxiv.org/abs/1304.6988

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