Nonlinear Robin problems with unilateral constraints and dependence on the gradient
| dc.contributor.author | Papageorgiou, Nikolaos S. | |
| dc.contributor.author | Vetro, Calogero | |
| dc.contributor.author | Vetro, Francesca | |
| dc.date.accessioned | 2022-03-10T15:01:41Z | |
| dc.date.available | 2022-03-10T15:01:41Z | |
| dc.date.issued | 2018-11-13 | |
| dc.description.abstract | We consider a nonlinear Robin problem driven by the p-Laplacian, with unilateral constraints and a reaction term depending also on the gradient (convection term). Using a topological approach based on fixed point theory (the Leray-Schauder alternative principle) and approximating the original problem using the Moreau-Yosida approximations of the subdifferential term, we prove the existence of a smooth solution. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Papageorgiou, N. S., Vetro, C., & Vetro, F. (2018). Nonlinear Robin problems with unilateral constraints and dependence on the gradient. <i>Electronic Journal of Differential Equations, 2018</i>(182), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15478 | |
| 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-Laplacian | |
| dc.subject | Robin boundary condition | |
| dc.subject | Subdifferential term | |
| dc.subject | Convection term | |
| dc.subject | Nonlinear regularity | |
| dc.subject | Maximal monotone map | |
| dc.subject | Fixed point | |
| dc.title | Nonlinear Robin problems with unilateral constraints and dependence on the gradient | |
| dc.type | Article |