Existence of weak solutions for nonlinear elliptic systems on ℝN
dc.contributor.author | El-Zahrani, Eada A. | |
dc.contributor.author | Serag, Hassan M. | |
dc.date.accessioned | 2021-07-16T20:33:17Z | |
dc.date.available | 2021-07-16T20:33:17Z | |
dc.date.issued | 2006-07-06 | |
dc.description.abstract | In this paper, we consider the nonlinear elliptic system -Δpu = α(x)|u|p-2 u - b(x)|u|α|v|βv + ƒ, -Δqv = -c(x)|u|α|v|βu + d(x)|v|q-2 v + g, lim|x|→∞ u = lim|x|→∞ v = 0 u, v > 0 on a bounded and unbounded domains of ℝN, where Δp denotes the p-Laplacian. The existence of weak solutions for these systems is proved using the theory of monotone operators. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 10 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | El-Zahrani, E. A., & Serag, H. M. (2006). Existence of weak solutions for nonlinear elliptic systems on ℝN. <i>Electronic Journal of Differential Equations, 2006</i>(69), pp. 1-10. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/13942 | |
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 | Weak solutions | |
dc.subject | Nonlinear elliptic systems | |
dc.subject | p-Laplacian | |
dc.subject | Monotone operators | |
dc.title | Existence of weak solutions for nonlinear elliptic systems on ℝN | |
dc.type | Article |