Existence of solutions for some nonlinear elliptic equations
dc.contributor.author | Anane, Aomar | |
dc.contributor.author | Chakrone, Omar | |
dc.contributor.author | Chehabi, Mohammed | |
dc.date.accessioned | 2021-07-16T19:21:10Z | |
dc.date.available | 2021-07-16T19:21:10Z | |
dc.date.issued | 2006-05-19 | |
dc.description.abstract | In this paper, we study the existence of solutions to the following nonlinear elliptic problem in a bounded subset Ω of ℝN: -Δpu = ƒ(x, u, ∇u) + μ in Ω, u = 0 on ∂Ω, where μ is a Radon measure on Ω which is zero on sets of p-capacity zero, ƒ : Ω x ℝ x ℝN → ℝ is a Carathéodory function that satisfies certain conditions with respect to the one dimensional spectrum. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 13 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Anane, A., Chakrone, O., & Chehabi, M. (2006). Existence of solutions for some nonlinear elliptic equations. Electronic Journal of Differential Equations, 2006(63), pp. 1-13. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/13936 | |
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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Boundary value problem | |
dc.subject | Truncation | |
dc.subject | p-Laplacian | |
dc.subject | Spectrum | |
dc.title | Existence of solutions for some nonlinear elliptic equations | |
dc.type | Article |