Blow-up solutions for fully nonlinear equations: Existence, asymptotic estimates and uniqueness
The primary objective of the paper is to study the existence, asymptotic boundary estimates and uniqueness of large solutions to fully nonlinear equations H(x,u,Du,D2u)=f(u)+h(x){H(x,u,Du,D^{2}u)=f(u)+h(x)} in bounded C2{C^{2}} domains Ω⊆ℝn{\Omega\subseteq\mathbb{R}^{n}}. Here H is a fully nonl...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2018-07-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2018-0134 |
| _version_ | 1818739627665653760 |
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| author | Mohammed Ahmed Rădulescu Vicenţiu D. Vitolo Antonio |
| author_facet | Mohammed Ahmed Rădulescu Vicenţiu D. Vitolo Antonio |
| author_sort | Mohammed Ahmed |
| collection | DOAJ |
| description | The primary objective of the paper is to study the existence, asymptotic boundary estimates and uniqueness of large solutions to fully nonlinear equations H(x,u,Du,D2u)=f(u)+h(x){H(x,u,Du,D^{2}u)=f(u)+h(x)} in bounded C2{C^{2}} domains Ω⊆ℝn{\Omega\subseteq\mathbb{R}^{n}}. Here H is a fully nonlinear uniformly elliptic differential operator, f is a non-decreasing function that satisfies appropriate growth conditions at infinity, and h is a continuous function on Ω that could be unbounded either from above or from below. The results contained herein provide substantial generalizations and improvements of results known in the literature. |
| first_indexed | 2024-12-18T01:27:51Z |
| format | Article |
| id | doaj.art-cd46de97e7344d9bb7f97732ce591332 |
| institution | Directory Open Access Journal |
| issn | 2191-950X |
| language | English |
| last_indexed | 2024-12-18T01:27:51Z |
| publishDate | 2018-07-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-cd46de97e7344d9bb7f97732ce5913322022-12-21T21:25:41ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2018-07-0191396410.1515/anona-2018-0134anona-2018-0134Blow-up solutions for fully nonlinear equations: Existence, asymptotic estimates and uniquenessMohammed Ahmed0Rădulescu Vicenţiu D.1Vitolo Antonio2Department of Mathematical Sciences, Ball State University, Muncie, IN 47306, USAInstitute of Mathematics, Physics and Mechanics, 1000Ljubljana, Slovenia; and Faculty of Applied Mathematics, AGH University of Science and Technology, 30-059 Kraków, Poland; and Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, RomaniaDepartment of Civil Engineering, Universitá di Salerno, 84084Fisciano(Salerno), ItalyThe primary objective of the paper is to study the existence, asymptotic boundary estimates and uniqueness of large solutions to fully nonlinear equations H(x,u,Du,D2u)=f(u)+h(x){H(x,u,Du,D^{2}u)=f(u)+h(x)} in bounded C2{C^{2}} domains Ω⊆ℝn{\Omega\subseteq\mathbb{R}^{n}}. Here H is a fully nonlinear uniformly elliptic differential operator, f is a non-decreasing function that satisfies appropriate growth conditions at infinity, and h is a continuous function on Ω that could be unbounded either from above or from below. The results contained herein provide substantial generalizations and improvements of results known in the literature.https://doi.org/10.1515/anona-2018-0134large solutionsexistence and uniquenessfully nonlinear elliptic equations35j60 35j70 |
| spellingShingle | Mohammed Ahmed Rădulescu Vicenţiu D. Vitolo Antonio Blow-up solutions for fully nonlinear equations: Existence, asymptotic estimates and uniqueness Advances in Nonlinear Analysis large solutions existence and uniqueness fully nonlinear elliptic equations 35j60 35j70 |
| title | Blow-up solutions for fully nonlinear equations: Existence, asymptotic estimates and uniqueness |
| title_full | Blow-up solutions for fully nonlinear equations: Existence, asymptotic estimates and uniqueness |
| title_fullStr | Blow-up solutions for fully nonlinear equations: Existence, asymptotic estimates and uniqueness |
| title_full_unstemmed | Blow-up solutions for fully nonlinear equations: Existence, asymptotic estimates and uniqueness |
| title_short | Blow-up solutions for fully nonlinear equations: Existence, asymptotic estimates and uniqueness |
| title_sort | blow up solutions for fully nonlinear equations existence asymptotic estimates and uniqueness |
| topic | large solutions existence and uniqueness fully nonlinear elliptic equations 35j60 35j70 |
| url | https://doi.org/10.1515/anona-2018-0134 |
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