Remarks on a class of quasilinear elliptic systems involving the (p,q)-Laplacian
Date
2005-02-08
Authors
Zhang, Guoqing
Liu, Xiping
Liu, Sanyang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We study the Nehari manifold for a class of quasilinear elliptic systems involving a pair of (p,q)-Laplacian operators and a parameter. We prove the existence of a nonnegative nonsemitrivial solution for the systems by discussing properties of the Nehari manifold, and so global bifurcation results are obtained. Thanks to Picone's identity, we also prove a nonexistence result.
Description
Keywords
Nehari manifold, (p,q)-Laplacian, Variational methods
Citation
Zhang, G., Liu, X., & Liu, S. (2005). Remarks on a class of quasilinear elliptic systems involving the (p,q)-Laplacian. <i>Electronic Journal of Differential Equations, 2005</i>(20), pp. 1-10.
Rights
Attribution 4.0 International