Existence and Estimates of Solutions for Various Elliptic Equation Models
The thesis is devoted to studying the existence and estimates of solutions for various elliptic equations. We establish the partial Schauder estimates to a sub-elliptic equation by using a new estimate of the Newton potential. By using the truncated technique we establish the sufficient condition fo...
| Main Author: | |
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| Format: | Thesis |
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Curtin University
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/73548 |
| _version_ | 1848763037748559872 |
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| author | Jiang, Yongsheng |
| author_facet | Jiang, Yongsheng |
| author_sort | Jiang, Yongsheng |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The thesis is devoted to studying the existence and estimates of solutions for various elliptic equations. We establish the partial Schauder estimates to a sub-elliptic equation by using a new estimate of the Newton potential. By using the truncated technique we establish the sufficient condition for the existence of the solution to a nonlinear elliptic equation with negative exponent. A new variational functional is developed to study a 2-dimensional Minkowski problem. |
| first_indexed | 2025-11-14T10:57:06Z |
| format | Thesis |
| id | curtin-20.500.11937-73548 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:57:06Z |
| publishDate | 2017 |
| publisher | Curtin University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-735482019-01-09T00:29:04Z Existence and Estimates of Solutions for Various Elliptic Equation Models Jiang, Yongsheng The thesis is devoted to studying the existence and estimates of solutions for various elliptic equations. We establish the partial Schauder estimates to a sub-elliptic equation by using a new estimate of the Newton potential. By using the truncated technique we establish the sufficient condition for the existence of the solution to a nonlinear elliptic equation with negative exponent. A new variational functional is developed to study a 2-dimensional Minkowski problem. 2017 Thesis http://hdl.handle.net/20.500.11937/73548 Curtin University fulltext |
| spellingShingle | Jiang, Yongsheng Existence and Estimates of Solutions for Various Elliptic Equation Models |
| title | Existence and Estimates of Solutions for Various Elliptic Equation Models |
| title_full | Existence and Estimates of Solutions for Various Elliptic Equation Models |
| title_fullStr | Existence and Estimates of Solutions for Various Elliptic Equation Models |
| title_full_unstemmed | Existence and Estimates of Solutions for Various Elliptic Equation Models |
| title_short | Existence and Estimates of Solutions for Various Elliptic Equation Models |
| title_sort | existence and estimates of solutions for various elliptic equation models |
| url | http://hdl.handle.net/20.500.11937/73548 |