Quasilinear elliptic systems in divergence form with weak monotonicity and nonlinear physical data
| dc.contributor.author | Augsburger, Fabien | |
| dc.contributor.author | Hungerbuhler, Norbert | |
| dc.date.accessioned | 2021-05-17T18:19:08Z | |
| dc.date.available | 2021-05-17T18:19:08Z | |
| dc.date.issued | 2004-12-07 | |
| dc.description.abstract | We study the quasilinear elliptic system -div σ(x, u, Du) = v(x) + ƒ(x, u) + div g(x, u) on a bounded domain of ℝn with homogeneous Dirichlet boundary conditions. This system corresponds to a diffusion problem with a source v in a moving and dissolving substance, where the motion is described by g and the dissolution by ƒ. We prove existence of a weak solution of this system under classical regularity, growth, and coercivity conditions for σ, but with only very mild monotonicity assumptions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Augsburger, F., & Hungerbühler, N. (2004). Quasilinear elliptic systems in divergence form with weak monotonicity and nonlinear physical data. <i>Electronic Journal of Differential Equations, 2004</i>(144), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13565 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Young measure | |
| dc.subject | Noninear elliptic systems | |
| dc.title | Quasilinear elliptic systems in divergence form with weak monotonicity and nonlinear physical data | |
| dc.type | Article |