Electron. J. Diff. Equ., Vol. 2013 (2013), No. 128, pp. 1-10.

Lyapunov-type inequalities for nonlinear systems involving the $(p_1,p_2,\dots,p_n)$-Laplacian

Devrim Cakmak, Mustafa Fahri Aktas, Aydin Tiryaki

Abstract:
We prove some generalized Lyapunov-type inequalities for n-dimensional Dirichlet nonlinear systems. We extend the results obtained by Cakmak and Tiryaki [6] for a parameter $1<p_k<2$. As an application, we obtain lower bounds for the eigenvalues of the corresponding system.

Submitted August 20, 2012. Published May 27, 2013.
Math Subject Classifications: 26D10, 34A40, 34C10.
Key Words: Lyapunov-type inequality; lower bound; $(p_1,p_2,\dots,p_n)$-Laplacian.

Show me the PDF file (237 KB), TEX file, and other files for this article.

Devrim Cakmak
Gazi University, Faculty of Education
Department of Mathematics Education
06500 Teknikokullar, Ankara, Turkey
email: dcakmak@gazi.edu.tr
Mustafa Fahri Aktas
Gazi University, Faculty of Sciences
Department of Mathematics
06500 Teknikokullar, Ankara, Turkey
email: mfahri@gazi.edu.tr
Aydin Tiryaki
Izmir University, Faculty of Arts and Sciences
Department of Mathematics and Computer Sciences
35350 Uckuyular, Izmir, Turkey
email: aydin.tiryaki@izmir.edu.tr

Return to the EJDE web page