Remarks on least energy solutions for quasilinear elliptic problems in ℝN
| dc.contributor.author | do O, Joao Marcos | |
| dc.contributor.author | Medeiros, Everaldo S. | |
| dc.date.accessioned | 2021-01-08T16:39:34Z | |
| dc.date.available | 2021-01-08T16:39:34Z | |
| dc.date.issued | 2003-08-11 | |
| dc.description.abstract | In this work we establish some properties of the solutions to the quasilinear second-order problem -∆pw = g(w) in ℝN where ∆pu = div(|∇u|p-2 ∇u) is the p-Laplacian operator and 1 < p ≤ N. We study a mountain pass characterization of least energy solutions of this problem. Without assuming the monotonicity of the function t1-pg(t), we show that the Mountain-Pass value gives the least energy level. We also prove the exponential decay of the derivatives of the solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | do O, J. M., & Medeiros, E. S. (2003). Remarks on least energy solutions for quasilinear elliptic problems in ℝN. <i>Electronic Journal of Differential Equations, 2003</i>(83), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13091 | |
| 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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Variational methods | |
| dc.subject | Minimax methods | |
| dc.subject | Superlinear elliptic problems | |
| dc.subject | p-Laplacian | |
| dc.subject | Ground-states | |
| dc.subject | Mountain-pass solutions | |
| dc.title | Remarks on least energy solutions for quasilinear elliptic problems in ℝN | |
| dc.type | Article |