On the Dirichlet Problem for Quasilinear Elliptic Second Order Equations with Triple Degeneracy and Singularity in a Domain with a Boundary Conical Point
| dc.contributor.author | Borsuk, Michail | |
| dc.contributor.author | Portnyagin, Dmitriy | |
| dc.date.accessioned | 2019-09-24T13:13:28Z | |
| dc.date.available | 2019-09-24T13:13:28Z | |
| dc.date.issued | 1999-06-24 | |
| dc.description.abstract | In this article we prove boundedness and Holder continuity of weak solutions to the Dirichlet problem for a second order quasilinear elliptic equation with triple degeneracy and singularity. In particular, we study equations of the form - d/dxi (|x|τ|u|q|∇u|m−2uxi) + α0|x|τ/(x2n-1 + x2n)m/2 u|u|q+m-2 - µ|x|τ u|u|q-2|∇u|m = = ƒ0(x) - ∂ƒi / ∂xi, with α0 ≥ 0, q ≥ 0, 0 ≤ µ < 1, 1 < m ≤ n, and τ > m − n in a domain with a boundary conical point. We obtain the exact Hölder exponent of the solution near the conical point. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 25 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Borsuk, M., & Portnyagin, D. (1999). On the Dirichlet problem for quasilinear elliptic second order equations with triple degeneracy and singularity in a domain with a boundary conical point. <i>Electronic Journal of Differential Equations, 1999</i>(23), pp. 1-25. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/8647 | |
| dc.language.iso | en | |
| dc.publisher | Southwest 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, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Quasilinear elliptic degenerate equations | |
| dc.subject | Barrier functions | |
| dc.subject | Conical points | |
| dc.title | On the Dirichlet Problem for Quasilinear Elliptic Second Order Equations with Triple Degeneracy and Singularity in a Domain with a Boundary Conical Point | en_US |
| dc.type | Article |