Existence of solutions for critical fractional p-Laplacian equations with indefinite weights
dc.contributor.author | Cui, Na | |
dc.contributor.author | Sun, Hong-Rui | |
dc.date.accessioned | 2021-08-20T17:06:23Z | |
dc.date.available | 2021-08-20T17:06:23Z | |
dc.date.issued | 2021-03-05 | |
dc.description.abstract | This article concerns the critical fractional p-Laplacian equation with indefinite weights (-Δp)su = λg(x)|u|p-2 u + h(x)|u|p*s-2u in ℝN, where 0 < s < 1 < p < ∞, N > sp and p*s = Np/(N - sp), the weight functions g may be indefinite, and h changes sign. Specifically, based on the results of the asymptotic estimates for an extremal in the fractional Sobolov inequality and the discrete spectrum of fractional p-Laplacian operator, we establish an existence criterion for a nontrivial solution to this problem. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 17 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Cui, N., & Sun, H. R. (2021). Existence of solutions for critical fractional p-Laplacian equations with indefinite weights. <i>Electronic Journal of Differential Equations, 2021</i>(11), pp. 1-17. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14408 | |
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, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Fractional p-Laplacian | |
dc.subject | Critical exponent | |
dc.subject | Indefinite weight | |
dc.title | Existence of solutions for critical fractional p-Laplacian equations with indefinite weights | |
dc.type | Article |