Sharp conditions for the existence of infinitely many positive solutions to $ q $-$ k $-Hessian equation and systems
In this paper, only under the $ q $-$ k $-Keller–Osserman conditions, we consider the existence and global estimates of innumerable radial $ q $-$ k $-convex positive solutions to the $ q $-$ k $-Hessian equation and systems. Our conditions are strictly weaker than those in previous papers.
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| Language: | English |
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AIMS Press
2024-08-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024234 |
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| author | Haitao Wan Yongxiu Shi |
| author_facet | Haitao Wan Yongxiu Shi |
| author_sort | Haitao Wan |
| collection | DOAJ |
| description | In this paper, only under the $ q $-$ k $-Keller–Osserman conditions, we consider the existence and global estimates of innumerable radial $ q $-$ k $-convex positive solutions to the $ q $-$ k $-Hessian equation and systems. Our conditions are strictly weaker than those in previous papers. |
| format | Article |
| id | doaj-art-2b0b949acfe141bda49196f50df4ed70 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-2b0b949acfe141bda49196f50df4ed702025-01-23T07:51:27ZengAIMS PressElectronic Research Archive2688-15942024-08-013285090510810.3934/era.2024234Sharp conditions for the existence of infinitely many positive solutions to $ q $-$ k $-Hessian equation and systemsHaitao Wan0Yongxiu Shi1School of Mathematics and Information Science, Shandong Technology and Business University, Yantai 264005, ChinaSchool of Mathematics and Information Science, Shandong Technology and Business University, Yantai 264005, ChinaIn this paper, only under the $ q $-$ k $-Keller–Osserman conditions, we consider the existence and global estimates of innumerable radial $ q $-$ k $-convex positive solutions to the $ q $-$ k $-Hessian equation and systems. Our conditions are strictly weaker than those in previous papers.https://www.aimspress.com/article/doi/10.3934/era.2024234$ q $-$ k $-hessian problemsradial $ q $-$ k $-convex solutionsthe existence of solutions |
| spellingShingle | Haitao Wan Yongxiu Shi Sharp conditions for the existence of infinitely many positive solutions to $ q $-$ k $-Hessian equation and systems Electronic Research Archive $ q $-$ k $-hessian problems radial $ q $-$ k $-convex solutions the existence of solutions |
| title | Sharp conditions for the existence of infinitely many positive solutions to $ q $-$ k $-Hessian equation and systems |
| title_full | Sharp conditions for the existence of infinitely many positive solutions to $ q $-$ k $-Hessian equation and systems |
| title_fullStr | Sharp conditions for the existence of infinitely many positive solutions to $ q $-$ k $-Hessian equation and systems |
| title_full_unstemmed | Sharp conditions for the existence of infinitely many positive solutions to $ q $-$ k $-Hessian equation and systems |
| title_short | Sharp conditions for the existence of infinitely many positive solutions to $ q $-$ k $-Hessian equation and systems |
| title_sort | sharp conditions for the existence of infinitely many positive solutions to q k hessian equation and systems |
| topic | $ q $-$ k $-hessian problems radial $ q $-$ k $-convex solutions the existence of solutions |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024234 |
| work_keys_str_mv | AT haitaowan sharpconditionsfortheexistenceofinfinitelymanypositivesolutionstoqkhessianequationandsystems AT yongxiushi sharpconditionsfortheexistenceofinfinitelymanypositivesolutionstoqkhessianequationandsystems |