A resonance problem for the p-laplacian in ℝN
| dc.contributor.author | Izquierdo B., Gustavo | |
| dc.contributor.author | Lopez Garza, Gabriel | |
| dc.date.accessioned | 2021-06-22T16:07:38Z | |
| dc.date.available | 2021-06-22T16:07:38Z | |
| dc.date.issued | 2005-10-17 | |
| dc.description.abstract | We show the existence of a weak solution for the problem -∆pu = λ1h(x)|u|p-2 u + α(x)g(u) + ƒ(x), u ∈ D1,p (ℝN), where, 2 < p < N, λ1 is the first eigenvalue of the p-Laplacian on D1,p(ℝN) relative to the radially symmetric weight h(x) = h(|x|). In this problem, g(s) is a bounded function for all s ∈ ℝ, α ∈ L(p*)' (ℝN) ∩ L∞ (ℝN) and ƒ ∈ L(p*)' (ℝN). To establish an existence result, we employ the Saddle Point Theorem of Rabinowitz [9] and an improved Poincaré inequality from an article of Alziary, Fleckinger and Takáč [2]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Izquierdo B., G., & Lopez Garza, G. (2005). A resonance problem for the p-laplacian in ℝN. <i>Electronic Journal of Differential Equations, 2005</i>(112), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13784 | |
| 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, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Resonance | |
| dc.subject | p-Laplacian | |
| dc.subject | Improved Poincare inequality | |
| dc.title | A resonance problem for the p-laplacian in ℝN | en_US |
| dc.type | Article |