Asymmetric Robin boundary-value problems with p-Laplacian and indefinite potential
dc.contributor.author | Marano, Salvatore | |
dc.contributor.author | Papageorgiou, Nikolaos S. | |
dc.date.accessioned | 2022-02-14T20:06:07Z | |
dc.date.available | 2022-02-14T20:06:07Z | |
dc.date.issued | 2018-06-18 | |
dc.description.abstract | Four nontrivial smooth solutions to a Robin boundary-value problem with p-Laplacian, indefinite potential, and asymmetric nonlinearity super-linear at infinity are obtained, all with sign information. The semilinear case is also investigated, producing a nonzero fifth solution. Our proofs use variational methods, truncation techniques, and Morse theory. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 21 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Marano, S. A., & Papageorgiou, N. S. (2018). Asymmetric Robin boundary-value problems with p-Laplacian and indefinite potential. <i>Electronic Journal of Differential Equations, 2018</i>(127), pp. 1-21. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15327 | |
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 | Robin boundary condition | |
dc.subject | p-Laplacian | |
dc.subject | Indefinite potential | |
dc.subject | Asymmetric reaction | |
dc.subject | Superlinear at infinity | |
dc.subject | Resonance | |
dc.subject | Multiple solutions | |
dc.title | Asymmetric Robin boundary-value problems with p-Laplacian and indefinite potential | |
dc.type | Article |