Ground state solutions for p-biharmonic equations
dc.contributor.author | Liu, Xiaonan ( ) | |
dc.contributor.author | Chen, Haibo ( ) | |
dc.contributor.author | Almuaalemi, Belal ( ) | |
dc.date.accessioned | 2022-03-28T17:20:12Z | |
dc.date.available | 2022-03-28T17:20:12Z | |
dc.date.issued | 2017-02-14 | |
dc.identifier.citation | Liu, X., Chen, H., & Almuaalemi, B. (2017). Ground state solutions for p-biharmonic equations. Electronic Journal of Differential Equations, 2017(45), pp. 1-9. | en_US |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/15569 | |
dc.description.abstract | In this article we study the p-biharmonic equation ∆2pu + V(x)|u|p-2u = ƒ(x, u), x ∈ ℝN, where ∆2pu = ∆(|∆u|p-2 ∆u) is the p-biharmonic operator. When V(x) and ƒ(x, u) satisfy some conditions, we prove that the above equations have Nehari-type ground state solutions. | |
dc.format | Text | |
dc.format.extent | 9 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.language.iso | en | en_US |
dc.publisher | Texas State University, Department of Mathematics | en_US |
dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | p-biharmonic equations | en_US |
dc.subject | Nehari manifold | en_US |
dc.subject | Ground state solution | en_US |
dc.title | Ground state solutions for p-biharmonic equations | en_US |
dc.type | publishedVersion | |
txstate.documenttype | Article | |
dc.rights.license | ![]() This work is licensed under a Creative Commons Attribution 4.0 International License. |