On the 2-dimensional dual Minkowski problem
We study the 2-dimensional dual Minkowski problem, which is the following nonlinear problem on unit circle u” + u = g(θ)u−1(u2+u’2)(2−k)/2, θ ∈ S for any given positive continuous function g(θ) with 2π/m-periodic. We prove that it is solvable for all k ∈ (1, +∞) and m ∈ {3,4,5···}....
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
Academic Press
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/55020 |
| _version_ | 1848759527152812032 |
|---|---|
| author | Jiang, Y. Wu, Yong Hong |
| author_facet | Jiang, Y. Wu, Yong Hong |
| author_sort | Jiang, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We study the 2-dimensional dual Minkowski problem, which is the following nonlinear problem on unit circle u” + u = g(θ)u−1(u2+u’2)(2−k)/2, θ ∈ S for any given positive continuous function g(θ) with 2π/m-periodic. We prove that it is solvable for all k ∈ (1, +∞) and m ∈ {3,4,5···}. |
| first_indexed | 2025-11-14T10:01:18Z |
| format | Journal Article |
| id | curtin-20.500.11937-55020 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:01:18Z |
| publishDate | 2017 |
| publisher | Academic Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-550202017-11-13T06:51:43Z On the 2-dimensional dual Minkowski problem Jiang, Y. Wu, Yong Hong We study the 2-dimensional dual Minkowski problem, which is the following nonlinear problem on unit circle u” + u = g(θ)u−1(u2+u’2)(2−k)/2, θ ∈ S for any given positive continuous function g(θ) with 2π/m-periodic. We prove that it is solvable for all k ∈ (1, +∞) and m ∈ {3,4,5···}. 2017 Journal Article http://hdl.handle.net/20.500.11937/55020 10.1016/j.jde.2017.04.033 Academic Press restricted |
| spellingShingle | Jiang, Y. Wu, Yong Hong On the 2-dimensional dual Minkowski problem |
| title | On the 2-dimensional dual Minkowski problem |
| title_full | On the 2-dimensional dual Minkowski problem |
| title_fullStr | On the 2-dimensional dual Minkowski problem |
| title_full_unstemmed | On the 2-dimensional dual Minkowski problem |
| title_short | On the 2-dimensional dual Minkowski problem |
| title_sort | on the 2-dimensional dual minkowski problem |
| url | http://hdl.handle.net/20.500.11937/55020 |