On the existence of periodic solutions to a p-Laplacian Allen-Cahn equation with Neumann boundary condition
This work is concerned with the periodic solution of a p-Laplacian Allen-Cahn equation with nonlocal terms associated with Neumann boundary conditions. Namely, the topological degree theorem is applied to prove the existence of a limit point to the auxiliary problem, which is also considered a nontr...
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| creator | Hameed, Raad A. Rasheed, Maan A. Achieng, Ogada E. Taha, Wafaa M. |
| description | This work is concerned with the periodic solution of a p-Laplacian Allen-Cahn equation with nonlocal terms associated with Neumann boundary conditions. Namely, the topological degree theorem is applied to prove the existence of a limit point to the auxiliary problem, which is also considered a nontrivial nonnegative time-periodic solution of the main studied problem. The results of this work can be extended to other similar equations with homogeneous Dirichlet or Neumann boundary conditions. |
| doi_str_mv | 10.1063/5.0093631 |
| format | Conference Proceeding |
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Namely, the topological degree theorem is applied to prove the existence of a limit point to the auxiliary problem, which is also considered a nontrivial nonnegative time-periodic solution of the main studied problem. The results of this work can be extended to other similar equations with homogeneous Dirichlet or Neumann boundary conditions.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0093631</doi><tpages>8</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0094-243X |
| ispartof | AIP Conference Proceedings, 2022, Vol.2398 (1) |
| issn | 0094-243X 1551-7616 |
| language | eng |
| recordid | cdi_proquest_journals_2728288646 |
| source | American Institute of Physics (AIP) Journals |
| subjects | Boundary conditions Dirichlet problem Existence theorems |
| title | On the existence of periodic solutions to a p-Laplacian Allen-Cahn equation with Neumann boundary condition |
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