Solutions for p(x)-Laplace equations with critical frequency
| dc.contributor.author | Zhang, Xia | |
| dc.contributor.author | Zhang, Chao | |
| dc.contributor.author | Gao, Huimin | |
| dc.date.accessioned | 2022-01-04T18:19:17Z | |
| dc.date.available | 2022-01-04T18:19:17Z | |
| dc.date.issued | 2018-01-19 | |
| dc.description.abstract | This article concerns the p(x)-Laplace equations with critical frequency -div(|∇u|p(x)-2∇u) + V(x)|u|p(x)-2u = ƒ(x, u) in ℝN, where 1 < p- ≤ p(x) ≤ p+ < N. We study this equation with the potentials being zero. By using variational method, we obtain the existence of nonnegative solutions. Moreover, if ƒ(x, t) is odd in t, for any m ∈ ℕ we derive m pairs of nontrivial solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, X., Zhang, C., & Gao, H. (2018). Solutions for p(x)-Laplace equations with critical frequency. Electronic Journal of Differential Equations, 2018(31), pp. 1-20. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15087 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | variable exponent space | |
| dc.subject | p(x)-Laplace | |
| dc.subject | critical frequency | |
| dc.subject | weak solution | |
| dc.title | Solutions for p(x)-Laplace equations with critical frequency | |
| dc.type | Article |