Remarks on a class of quasilinear elliptic systems involving the (p,q)-Laplacian
| dc.contributor.author | Zhang, Guoqing | |
| dc.contributor.author | Liu, Xiping | |
| dc.contributor.author | Liu, Sanyang | |
| dc.date.accessioned | 2021-05-18T18:42:28Z | |
| dc.date.available | 2021-05-18T18:42:28Z | |
| dc.date.issued | 2005-02-08 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13591 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Nehari manifold | |
| dc.subject | (p,q)-Laplacian | |
| dc.subject | Variational methods | |
| dc.title | Remarks on a class of quasilinear elliptic systems involving the (p,q)-Laplacian | |
| dc.type | Article |