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| Title: | On the Neumann (p, q)-eigenvalue problem in Hölder singular domains |
| Authors: | Garain, Prashanta |
| Keywords: | 30C65;35A01;35J92;35P15;35P30;46E35 |
| Issue Date: | 2024 |
| Publisher: | Springer Science and Business Media Deutschland GmbH |
| Citation: | Garain, P., Pchelintsev, V., & Ukhlov, A. (2024). On the Neumann (p, q)-eigenvalue problem in Hölder singular domains. Calculus of Variations and Partial Differential Equations. Scopus. https://doi.org/10.1007/s00526-024-02788-4 |
| Abstract: | In the article we study the Neumann (p, q)-eigenvalue problems in bounded Hölder γ-singular domains Ωγ⊂Rn. In the case 1< p< ∞ and 1< q< pγ∗ we prove solvability of this eigenvalue problem and existence of the minimizer of the associated variational problem. In addition, we establish some regularity results of the eigenfunctions and some estimates of (p, q)-eigenvalues. © The Author(s) 2024. |
| URI: | https://doi.org/10.1007/s00526-024-02788-4 https://dspace.iiti.ac.in/handle/123456789/14510 |
| ISSN: | 0944-2669 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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