Critical points of solutions of degenerate elliptic equations in the plane
| dc.creator | Cecchini, Simone | |
| dc.creator | Magnanini, Rolando | |
| dc.date | 2008-12-22 | |
| dc.date.accessioned | 2026-07-07T12:21:16Z | |
| dc.date.available | 2026-07-07T12:21:16Z | |
| dc.description | We study the minimizer u of a convex functional in the plane which is not Gâteaux-differentiable. Namely, we show that the set of critical points of any C^1-smooth minimizer can not have isolated points. Also, by means of some appropriate approximating scheme and viscosity solutions, we determine an Euler-Lagrange equation that u must satisfy. By applying the same approximating scheme, we can pair u with a function v which may be regarded as the stream function of u in a suitable generalized sense. | |
| dc.description | 1 figure | |
| dc.identifier | https://arxiv.org/abs/0812.4244 | |
| dc.identifier | http://arxiv.org/abs/0812.4244 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213313 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B05, 35B38, 35J20, 35J60 | |
| dc.title | Critical points of solutions of degenerate elliptic equations in the plane | |
| dc.type | text |