Zhang, GuoqingLiu, XipingLiu, Sanyang2021-05-182021-05-182005-02-08Zhang, 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. 1-10.1072-6691https://hdl.handle.net/10877/13591We 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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalNehari manifold(p,q)-LaplacianVariational methodsArticle