Solutions to Perturbed Eigenvalue Problems of the p-Laplacian in R(N)
| dc.contributor.author | do O, Joao Marcos ( ) | |
| dc.date.accessioned | 2018-11-04T20:54:16Z | |
| dc.date.available | 2018-11-04T20:54:16Z | |
| dc.date.issued | 1997-07-15 | |
| dc.identifier.citation | Marcos, J. B. (1997). Solutions to perturbed eigenvalue problems of the p-Laplacian in R(N). Electronic Journal of Differential Equations, 1997(11), pp. 1-15. | en_US |
| 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 = ƒ(x, u) in ℝN. Under the assumptions that the primitive F(x, u) of ƒ(x, u) interacts only with the first eigenvalue, we look for solutions in the space D1,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 | en_US |
| dc.publisher | Southwest 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 |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. |
