Positive solutions for nonlinear Robin problems
| dc.contributor.author | Averna, Diego | |
| dc.contributor.author | Papageorgiou, Nikolaos S. | |
| dc.contributor.author | Tornatore, Elisabetta | |
| dc.date.accessioned | 2022-06-10T19:14:16Z | |
| dc.date.available | 2022-06-10T19:14:16Z | |
| dc.date.issued | 2017-09-06 | |
| dc.description.abstract | We consider a parametric Robin problem driven by the p-Laplacian with an indefinite potential and with a superlinear reaction term which does not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions. We prove a bifurcation-type theorem describing the nonexistence, existence and multiplicity of positive solutions as the parameter varies. We also show the existence of a minimal positive solution ũλ and establish the monotonicity and continuity of the map λ → ũλ. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 25 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Averna, D., Papageorgiou, N. S., & Tornatore, E. (2017). Positive solutions for nonlinear Robin problems. Electronic Journal of Differential Equations, 2017(204), pp. 1-25. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15898 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Robin boundary condition | |
| dc.subject | Superlinear reaction | |
| dc.subject | Truncation and comparison techniques | |
| dc.subject | Bifurcation-type result | |
| dc.subject | Minimax positive solution | |
| dc.title | Positive solutions for nonlinear Robin problems | |
| dc.type | Article |