A weighted (p,2)-equation with double resonance
| dc.contributor.author | Liu, Zhenhai | |
| dc.contributor.author | Papageorgiou, Nikolaos S. | |
| dc.date.accessioned | 2023-05-23T20:26:25Z | |
| dc.date.available | 2023-05-23T20:26:25Z | |
| dc.date.issued | 2023-03-30 | |
| dc.description.abstract | We consider a Dirichlet problem driven by a weighted (p,2)-Laplacian with a reaction which is resonant both at $\pm\infty$ and at zero (double resonance). We prove a multiplicity theorem producing three nontivial smooth solutions with sign information and ordered. In the Appendix we develop the spectral properties of the weighted r-Laplace differential operator. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Liu, Z., & Papageorgiou, N. S. (2023). A weighted (p,2)-equation with double resonance. <i>Electronic Journal of Differential Equations, 2023</i>(30), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16865 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, 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, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Constant sign and nodal solutions | |
| dc.subject | Nonlinear regularity | |
| dc.subject | Nonlinear maximum principle | |
| dc.subject | Critical groups | |
| dc.subject | Spectrum of weighted r-Laplacian | |
| dc.subject | Double resonance | |
| dc.title | A weighted (p,2)-equation with double resonance | |
| dc.type | Article |