Existence of solutions to nonlocal and singular elliptic problems via Galerkin method
| dc.contributor.author | Correa, Francisco Julio S. A. | |
| dc.contributor.author | Menezes, Silvano D. B. | |
| dc.date.accessioned | 2021-04-05T20:09:59Z | |
| dc.date.available | 2021-04-05T20:09:59Z | |
| dc.date.issued | 2004-02-11 | |
| dc.description.abstract | We study the existence of solutions to the nonlocal elliptic equation -M ( | |
| dc.description.abstract | u | |
| dc.description.abstract | 2) Δu = ƒ(x, u) with zero Dirichlet boundary conditions on a bounded and smooth domain of ℝn. We consider the M-linear case with ƒ ∈ H-1(Ω), and the sub-linear case ƒ(u) = uα, 0 < α < 1. Our main tool is the Galerkin method for both cases when M continuous and when M is discontinuous. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Corrêa, F. J. S. A., & Menezes, S. D. B. (2004). Existence of solutions to nonlocal and singular elliptic problems via Galerkin method. <i>Electronic Journal of Differential Equations, 2004</i>(19), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13338 | |
| 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, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Nonlocal elliptic problems | |
| dc.subject | Galerkin method | |
| dc.title | Existence of solutions to nonlocal and singular elliptic problems via Galerkin method | en_US |
| dc.type | Article |