An alternative approach to critical PDEs
| dc.contributor.author | Labropoulos, Nikos | |
| dc.date.accessioned | 2022-06-03T16:51:22Z | |
| dc.date.available | 2022-06-03T16:51:22Z | |
| dc.date.issued | 2017-06-23 | |
| dc.description.abstract | In this article, we use an alternative method to prove the existence of an infinite sequence of distinct, non-radial nodal G-invariant solutions for critical nonlinear elliptic problems defined in the whole the Euclidean space. Our proof is via approximation of the problem on symmetric bounded domains. The base model problem of interest originating from Physics is stated below: -∆u = |u|4/n-2u, u ∈ C2 (ℝn), n ≥ 3. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Labropoulos, N. (2017). An alternative approach to critical PDEs. Electronic Journal of Differential Equations, 2017(150), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15843 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Laplacian | |
| dc.subject | Non-radial solution | |
| dc.subject | Critical exponent | |
| dc.title | An alternative approach to critical PDEs | |
| dc.type | Article |