A Neumann problem with the q-Laplacian on a solid torus in the critical of supercritical case
| dc.contributor.author | Cotsiolis, Athanase | |
| dc.contributor.author | Labropoulos, Nikos | |
| dc.date.accessioned | 2021-08-18T18:37:56Z | |
| dc.date.available | 2021-08-18T18:37:56Z | |
| dc.date.issued | 2007-11-30 | |
| dc.description.abstract | Following the work of Ding [21] we study the existence of a non-trivial positive solution to the nonlinear Neumann problem Δqu + α(x)uq-1 = λƒ(x)up-1, u > 0 on T, ∇u|q-2 ∂u/∂v + b(x)uq-1 = λg(x)up̃-1 on ∂T, p = 2q/2-q > 6, p̃ = q/2-q > 4, 3/2 < q < 2, on a solid torus of ℝ3. When data are invariant under the group G = O(2) x I ⊂ O(3), we find solutions that exhibit no radial symmetries. First we find the best constants in the Sobolev inequalities for the supercritical case (the critical of supercritical). | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Cotsiolis, A., & Labropoulos, N. (2007). A Neumann problem with the q-Laplacian on a solid torus in the critical of supercritical case. <i>Electronic Journal of Differential Equations, 2007</i>(164), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14378 | |
| 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Neumann problem | |
| dc.subject | q-Laplacian | |
| dc.subject | Solid torus | |
| dc.subject | No radial symmetry | |
| dc.subject | Critical of supercritical exponent | |
| dc.title | A Neumann problem with the q-Laplacian on a solid torus in the critical of supercritical case | |
| dc.type | Article |