Existence results for quasilinear elliptic systems in RN
| dc.contributor.author | Stavrakakis, N. M. | |
| dc.contributor.author | Zographopoulos, Nikolaos | |
| dc.date.accessioned | 2019-11-22T16:44:36Z | |
| dc.date.available | 2019-11-22T16:44:36Z | |
| dc.date.issued | 1999-10-04 | |
| dc.description.abstract | We prove existence results for the quasilinear elliptic system -∆pu = λα(x)|u|γ-2u + λb(x)|u|α-1|v|β+1u, -∆qv = λd(x)|v|δ-2v + λb(x)|u|α+1|v|β-1v, where γ and δ may reach the critical Sobolev exponents, and the coefficient functions α, b, and d may change sign. For the unperturbed system (α = 0, b = 0), we establish the existence and simplicity of a positive principal eigenvalue, under the assumption that u(x) > 0, v(x) > 0, and lim|x|→∞ u(x) = 0. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Stavrakakis, N. M., & Zographopoulos, N. B. (1999). Existence results for quasilinear elliptic systems in RN. Electronic Journal of Differential Equations, 1999(39), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/8877 | |
| 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 | p-Laplacian | |
| dc.subject | Nonlinear eigenvalue problems | |
| dc.subject | Homogeneous Sobolev spaces | |
| dc.subject | Maximum principle | |
| dc.subject | Palais-Smale Condition | |
| dc.title | Existence results for quasilinear elliptic systems in RN | |
| dc.type | Article |