Existence of positive solutions for fractional Laplacian systems with critical growth
| dc.contributor.author | Correia, Jeziel N. | |
| dc.contributor.author | Oliveira, Claudionei | |
| dc.date.accessioned | 2023-05-15T19:46:29Z | |
| dc.date.available | 2023-05-15T19:46:29Z | |
| dc.date.issued | 2022-11-22 | |
| dc.description.abstract | In this article, we show the existence of positive solution to the nonlocal system (-Δ)s u + α(x)u = 1/2*s Hu(u, v) in ℝN, (-Δ)s v + b(x)v = 1/2*s Hv(u, v) in ℝN, u, v > 0 in ℝN, u, v ∈ Ds,2 (ℝN). We also prove a global compactness result for the associated energy functional similar to that due to Struwe in [26]. The basic tools are some information from a limit system with a(x) = b(x) = 0, a variant of the Lion's principle of concentration and compactness for fractional systems, and Brouwer degree theory. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 42 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Correia, J. N., & Oliveira, C. P. (2022). Existence of positive solutions for fractional Laplacian systems with critical growth. <i>Electronic Journal of Differential Equations, 2022</i>(79), pp. 1-42. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16803 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Fractional Laplacian | |
| dc.subject | Concentration-compactness | |
| dc.subject | Critical nonlinearity global compactness | |
| dc.title | Existence of positive solutions for fractional Laplacian systems with critical growth | |
| dc.type | Article |