On Elliptic Equations in RN with Critical Exponents
| dc.contributor.author | Alves, C. O. ( ) | |
| dc.contributor.author | Goncalves, J. V. ( ) | |
| dc.contributor.author | Miyagaki, Olimpio H. (  0000-0002-5608-3760 ) | |
| dc.date.accessioned | 2018-08-24T19:56:04Z | |
| dc.date.available | 2018-08-24T19:56:04Z | |
| dc.date.issued | 1996-10-22 | |
| dc.identifier.citation | Alves, C. O., Goncalves, J. V., & Miyagaki, O. H. (1996). On elliptical equations in RN with critical exponents. Electronic Journal of Differential Equations, 1996(09), pp. 1-11. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/7609 | |
| dc.description.abstract | In this note we use variational arguments –namely Ekeland’s Principle and the Mountain Pass Theorem– to study the equation −∆u + α(x)u = λuq + u2*−1 in ℝN. The main concern is overcoming compactness difficulties due both to the unboundedness of the domain ℝN , and the presence of the critical exponent 2* = 2N / (N − 2). | en_US |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 1996, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Elliptic equations | en_US |
| dc.subject | Unbounded domains | en_US |
| dc.subject | Critical exponents | en_US |
| dc.subject | Variational methods | en_US |
| dc.title | On Elliptic Equations in RN with Critical Exponents | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
