Elliptic Equations with One-sided Critical Growth
| dc.contributor.author | Calanchi, Marta | |
| dc.contributor.author | Ruf, Bernhard | |
| dc.date.accessioned | 2020-08-18T21:51:28Z | |
| dc.date.available | 2020-08-18T21:51:28Z | |
| dc.date.issued | 2002-10-18 | |
| dc.description.abstract | We consider elliptic equations in bounded domains Ω ⊂ ℝN with nonlinearities which have critical growth at +∞ and linear growth λ at -∞, with λ > λ1, the first eigenvalue of the Laplacian. We prove that such equations have at least two solutions for certain forcing terms provided N ≥ 6. In dimensions N = 3, 4, 5 an additional lower order growth term has to be added to the nonlinearity, similarity as in the famous result of Brezis-Nirenberg for equations with critical growth. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Calanchi, M., & Ruf, B. (2002). Elliptic equations with one-sided critical growth. Electronic Journal of Differential Equations, 2002(89), pp. 1-21. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12422 | |
| 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, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Nonlinear elliptic equation | |
| dc.subject | Critical growth | |
| dc.subject | Linking structure | |
| dc.title | Elliptic Equations with One-sided Critical Growth | |
| dc.type | Article |