Strong resonance problems for the one-dimensional p-Laplacian
| dc.contributor.author | Bouchala, Jiri | |
| dc.date.accessioned | 2021-05-18T14:41:09Z | |
| dc.date.available | 2021-05-18T14:41:09Z | |
| dc.date.issued | 2005-01-05 | |
| dc.description.abstract | We study the existence of the weak solution of the nonlinear boundary-value problem -(|u'|p-2u')' = λ|u|p-2u + g(u) - h(x) in (0, π), u(0) = u(π) = 0, where p and λ are real numbers, p > 1, h ∈ Lp' (0, π) (p' = p/p-1) and the nonlinearity g : ℝ → ℝ is a continuous function of the Landesman-Lazer type. Our sufficiency conditions generalize the results published previously about the solvability of this problem. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bouchala, J. (2005). Strong resonance problems for the one-dimensional p-Laplacian. <i>Electronic Journal of Differential Equations, 2005</i>(08), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13579 | |
| 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 | p-Laplacian | |
| dc.subject | Resonance at the eigenvalues | |
| dc.subject | Landesman-Lazer type conditions | |
| dc.title | Strong resonance problems for the one-dimensional p-Laplacian | |
| dc.type | Article |