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https://dspace.iiti.ac.in/handle/123456789/11867
| Title: | Mixed Local and Nonlocal Dirichlet (p, q)-Eigenvalue Problem |
| Authors: | Garain, Prashanta |
| Issue Date: | 2023 |
| Publisher: | Springer |
| Citation: | Garain, P., & Ukhlov, A. (2023). Mixed local and nonlocal dirichlet (p, q)-eigenvalue problem. Journal of Mathematical Sciences (United States), 270(6), 782-792. doi:10.1007/s10958-023-06389-y |
| Abstract: | We consider the spectral problem for the mixed local and nonlocal p-Laplace operator. We discuss the existence and regularity of eigenfunction of the associated Dirichlet (p, q)-eigenvalue problem in a bounded domain Ω ⊂ ℝN under the assumption that 1 < p < ∞ and 1 < q < p∗ where p∗ = Np/(N − p) if 1 < p < N and p∗ = ∞ if p ⩾ N. © 2023, Springer Nature Switzerland AG. |
| URI: | https://doi.org/10.1007/s10958-023-06389-y https://dspace.iiti.ac.in/handle/123456789/11867 |
| ISSN: | 1072-3374 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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