Positive and nodal solutions for nonlinear nonhomogeneous parametric Neumann problems
dc.contributor.author | Papageorgiou, Nikolaos S. | |
dc.contributor.author | Vetro, Catogero | |
dc.contributor.author | Vetro, Francesca | |
dc.date.accessioned | 2021-09-21T14:36:05Z | |
dc.date.available | 2021-09-21T14:36:05Z | |
dc.date.issued | 2020-01-24 | |
dc.description.abstract | We consider a parametric Neumann problem driven by a nonlinear nonhomogeneous differential operator plus an indefinite potential term. The reaction term is superlinear but does not satisfy the Ambrosetti-Rabinowitz condition. First we prove a bifurcation-type result describing in a precise way the dependence of the set of positive solutions on the parameter λ > 0. We also show the existence of a smallest positive solution. Similar results hold for the negative solutions and in this case we have a biggest negative solution. Finally using the extremal constant sign solutions we produce a smooth nodal solution. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 20 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Papageorgiou, N. S., Vetro, C., & Vetro, F. (2020). Positive and nodal solutions for nonlinear nonhomogeneous parametric Neumann problems. Electronic Journal of Differential Equations, 2020(12), pp. 1-20. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14516 | |
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, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Nonlinear nonhomogeneous differential operator | |
dc.subject | Nonlinear Regularity Theory | |
dc.subject | Nonlinear maximum principle | |
dc.subject | Strong comparison | |
dc.subject | Bifurcation-type theorem | |
dc.subject | Nodal solution | |
dc.subject | Critical group | |
dc.title | Positive and nodal solutions for nonlinear nonhomogeneous parametric Neumann problems | |
dc.type | Article |