Existence and Multiplicity Results for Nonlinear Elliptic Problems in ℝN with an Indefinite Functional
| dc.contributor.author | Costa, David G. | |
| dc.contributor.author | Guo, Yuxia | |
| dc.contributor.author | Ramos, Miguel | |
| dc.date.accessioned | 2020-07-15T17:41:24Z | |
| dc.date.available | 2020-07-15T17:41:24Z | |
| dc.date.issued | 2002-03-04 | |
| dc.description.abstract | We prove the existence of a nontrivial solution for the nonlinear elliptic problem -∆u = λh(x)u + α(x)g(u) in ℝN, where g is superlinear near zero and near infinity, α(x) changes sign, λ is positive, and h(x) ≥ 0 is a weight function. For g odd, we prove the existence of an infinite number of solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Costa, D. G., Guo, Y., & Ramos, M. (2002). Existence and multiplicity results for nonlinear elliptic problems in RN with an indefinite functional. <i>Electronic Journal of Differential Equations, 2002</i>(25), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12089 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| 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 | Superlinear elliptic problems | |
| dc.subject | Morse index | |
| dc.subject | Minimax methods | |
| dc.title | Existence and Multiplicity Results for Nonlinear Elliptic Problems in ℝN with an Indefinite Functional | |
| dc.type | Article |