| dc.creator | Sajjadi, Seyed Mostafa | |
| dc.creator | Afrouzi, Ghasem Alizadeh | |
| dc.date | 2024-04-08 | |
| dc.date.accessioned | 2024-04-16T14:16:58Z | |
| dc.date.available | 2024-04-16T14:16:58Z | |
| dc.identifier | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3646 | |
| dc.identifier | 10.56754/0719-0646.2601.107 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/241523 | |
| dc.description | This paper is concerned with a class of fractional \(p(x,y)-\)Kirchhoff type problems with Dirichlet boundary data along with indefinite weight of the following form\begin{equation*}\left\lbrace\begin{array}{ll}M\left(\int_{Q}\frac{1}{p(x,y)}\frac{|u(x)-u(y)|^{p(x,y)}}{|x-y|^{N+sp(x,y)}}\,dx\,dy\right)\\(-\triangle_{p(x)})^s+|u(x)|^{q(x)-2}u(x) & \\=\lambda V(x)|u(x)|^{r(x)-2}u(x)& \text{in }\Omega,\\u=0, & \text{in }\mathbb{R}^N\Omega.\end{array}\right. \end{equation*}
By means of direct variational approach and Ekeland’s variational principle, we investigate the existence of nontrivial weak solutions for the above problem in case of the competition between the growth rates of functions \(p\) and \(r\) involved in above problem, this fact is essential in describing the set of eigenvalues of this problem. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3646/2355 | |
| dc.rights | Copyright (c) 2024 S. M. Sajjadi et al. | en-US |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 26 No. 1 (2024); 107–122 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 26 No. 1 (2024); 107–122 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Kirchhoff type problems | en-US |
| dc.subject | indefinite weight | en-US |
| dc.subject | Ekeland’s variational principle | en-US |
| dc.subject | variable exponent | en-US |
| dc.subject | fractional p(x, y)−Laplacian problems | en-US |
| dc.subject | 35R11 | en-US |
| dc.subject | 35D30 | en-US |
| dc.subject | 35J20 | en-US |
| dc.subject | 46E35 | en-US |
| dc.title | On a class of fractional \(p(x,y)-\)Kirchhoff type problems with indefinite weight | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
