Resonant (p,q)-equations with Robin boundary condition
| dc.contributor.author | Filippakis, Michael E. | |
| dc.contributor.author | Papageorgiou, Nikolaos S. | |
| dc.date.accessioned | 2021-12-15T16:19:38Z | |
| dc.date.available | 2021-12-15T16:19:38Z | |
| dc.date.issued | 2018-01-02 | |
| dc.description.abstract | We consider a nonlinear nonhomogeneous Robin problem that has the sum of a p-Laplacian and a q-Laplacian (a (p,q)-equation). The reaction term is a Caratheodory function which is resonant at ±∞ with respect to any nonprincipal variational eigenvalue of the Robin p-Laplacian. Using variational methods and Morse theory (critical groups), we show the existence of at least three nontrivial smooth solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 24 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Filippakis, M. E., & Papageorgiou, N. S. (2018). Resonant (p,q)-equations with Robin boundary condition. Electronic Journal of Differential Equations, 2018(01), pp. 1-24. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15056 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | (p,q)-Laplace differential operator | |
| dc.subject | Resonance | |
| dc.subject | Critical groups | |
| dc.subject | Multiple solutions | |
| dc.subject | Nonlinear regularity | |
| dc.title | Resonant (p,q)-equations with Robin boundary condition | |
| dc.type | Article |