| dc.contributor.author | Marcos, Joao B. do O | |
| dc.date.accessioned | 2018-11-04T20:54:16Z | |
| dc.date.available | 2018-11-04T20:54:16Z | |
| dc.date.issued | 1997-07-15 | |
| dc.date.submitted | 1997-01-24 | |
| dc.identifier.citation | Marcos, J. B. (1997). Solutions to perturbed eigenvalue problems of the p-Laplacian in R(N). "Electronic Journal of Differential Equations," Vol. 1997, No. 11, pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/7767 | |
| dc.description.abstract | Using a variational approach, we investigate the existence of solutions for non-autonomous perturbations of the p-Laplacian eigenvalue problem
Δpu=f(x,u) in R(N).
Under the assumptions that the primitive F(x,u) of f(x,u) interacts only with the first eigenvalue, we look for solutions in the space D{1,p}({ RN). Furthermore, we assume a condition that measures how different the behavior of the function F(x,u) is from that of the p-power of u. | en_US |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 1997, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Mountain Pass Theorem | en_US |
| dc.subject | Palais-Smale Condition | en_US |
| dc.subject | First eigenvalue | en_US |
| dc.title | Solutions to Perturbed Eigenvalue Problems of the p-Laplacian in R(N) | en_US |
| txstate.documenttype | Article | |
| dc.rights.license | Creative Commons Attribution 4.0 International License [https://creativecommons.org/licenses/by/4.0/] | |
