Lower bounds for eigenvalues of the one-dimensional $p$-Laplacian

By Juan Pablo Pinasco. 2004

66 citations recorded by the source corpus.

We present sharp lower bounds for eigenvalues of the one-dimensional p-Laplace operator. The method of proof is rather elementary, based on a suitable generalization of the Lyapunov inequality.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5dbe8d9020048bfb08e36ae3a51d38fd33e44250

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In Applied Mathematics

1. Aydin Tiryaki
2. Mehmet Ünal
3. Devrim Çakmak

In Computational Theory and Mathematics

1. Aydin Tiryaki
2. Mehmet Ünal
3. Devrim Çakmak

In Mathematical Physics

1. Aydin Tiryaki
2. Mehmet Ünal
3. Devrim Çakmak

Citations in the corpus

• Lyapunov-type inequalities for nonlinear systems (2007, methodology): “Lyapunov-type inequalities for the half-linear equation, that is β = α in (6), were obtained independently by Lee et al. [16] and by Pinasco [21].”