Some Properties of Palais-Smale Sequences with Applications to Elliptic Boundary-value Problems
| dc.contributor.author | Chen, Chao-Nien | |
| dc.contributor.author | Tzeng, Shyuh-yaur | |
| dc.date.accessioned | 2019-11-12T19:57:16Z | |
| dc.date.available | 2019-11-12T19:57:16Z | |
| dc.date.issued | 1999-05-14 | |
| dc.description.abstract | When using calculus of variations to study nonlinear elliptic boundary-value problems on unbounded domains, the Palais-Smale condition is not always satisfied. To overcome this difficulty, we analyze Palais-Smale sequences, and use their convergence to justify the existence of critical points for a functional. We show the existence of positive solutions using a minimax method and comparison arguments for semilinear elliptic equations. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 29 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chen, C. N., & Tzeng, S. Y. (1999). Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems. <i>Electronic Journal of Differential Equations, 1999</i>(17), pp. 1-29. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/8793 | |
| 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, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | elliptic equation | |
| dc.subject | Palais-Smale sequence | |
| dc.subject | minimax method | |
| dc.title | Some Properties of Palais-Smale Sequences with Applications to Elliptic Boundary-value Problems | |
| dc.type | Article |