Nodal properties for p-Laplacian systems
Date
2017-03-28
Authors
Cheng, Yan-Hsiou
Wang, Wei-Chuan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider a system of differential equations involving the p-Laplacian. We prove the existence of oscillatory solutions with prescribed numbers of zeros, and show that the solutions satisfy the Dirichlet boundary conditions when the large parameters in the equations are suitable chosen. Our main tool in this work is a Prüfer-type substitution.
Description
Keywords
Quasilinear equation, p-Laplacian system, Prüfer substitution
Citation
Cheng, Y. H., & Wang, W. C. (2017). Nodal properties for p-Laplacian systems. <i>Electronic Journal of Differential Equations, 2017</i>(87), pp. 1-8.
Rights
Attribution 4.0 International