| dc.contributor | 應數系 | |
| dc.creator (作者) | 郭岳承 | |
| dc.creator (作者) | Kuo, Yueh-Cheng;Chen, Ching-yu;Wang, Kuan-Hsiang;Wu, Tsung-fang | |
| dc.date (日期) | 2021-11 | |
| dc.date.accessioned | 24-May-2024 11:34:27 (UTC+8) | - |
| dc.date.available | 24-May-2024 11:34:27 (UTC+8) | - |
| dc.date.issued (上傳時間) | 24-May-2024 11:34:27 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/151278 | - |
| dc.description.abstract (摘要) | The existence and multiplicity of solutions for a class of non-local elliptic boundary value problems with superlinear source functions are investigated in this paper. Using variational methods, we examine the changes arise in the solution behaviors as a result of the non-local effect. Comparisons are made of the results here with those of the elliptic boundary value problem in the absence of the non-local term under the same prescribed conditions to highlight this effect of non-locality on the solution behaviors. Our results here demonstrate that the complexity of the solution structures is significantly increased in the presence of the non-local effect with the possibility ranging from no permissible positive solution to three positive solutions and, contrary to those obtained in the absence of the non-local term, the solution profiles also vary depending on the superlinearity of the source functions. | |
| dc.format.extent | 106 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, Vol.116, Article number 45 | |
| dc.subject (關鍵詞) | Kirchhoff-type equations; Mountain pass theorem; Positive solutions; Eigenvalue problem | |
| dc.title (題名) | On non-local nonlinear elliptic equations involving an eigenvalue problem | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1007/s13398-021-01190-5 | |
| dc.doi.uri (DOI) | https://doi.org/10.1007/s13398-021-01190-5 | |
