Existence and Nonexistence Results for Classes of Singular Elliptic Problem
The singular semilinear elliptic problem -Δu+k(x)u-γ=λup in Ω, u>0 in Ω, u=0 on ∂Ω, is considered, where Ω is a bounded domain with smooth boundary in RN, k∈Clocα(Ω)∩C(Ω¯), and γ,p,λ are three positive constants. Some existence or nonexistence results are obtained for solutions of this problem by...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/435083 |
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| author | Peng Zhang Jia-Feng Liao |
| author_facet | Peng Zhang Jia-Feng Liao |
| author_sort | Peng Zhang |
| collection | DOAJ |
| description | The singular semilinear elliptic problem -Δu+k(x)u-γ=λup in Ω, u>0 in Ω, u=0 on ∂Ω, is considered, where Ω is a bounded domain with smooth boundary in RN, k∈Clocα(Ω)∩C(Ω¯), and γ,p,λ are three positive constants. Some existence or nonexistence results are obtained for solutions of this problem by the sub-supersolution method. |
| format | Article |
| id | doaj-art-e4712787318749d6bf9ed256e6e241ce |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e4712787318749d6bf9ed256e6e241ce2025-02-03T01:03:33ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/435083435083Existence and Nonexistence Results for Classes of Singular Elliptic ProblemPeng Zhang0Jia-Feng Liao1Department of Mathematics, Zunyi Normal College, Zunyi 563002, ChinaDepartment of Mathematics, Zunyi Normal College, Zunyi 563002, ChinaThe singular semilinear elliptic problem -Δu+k(x)u-γ=λup in Ω, u>0 in Ω, u=0 on ∂Ω, is considered, where Ω is a bounded domain with smooth boundary in RN, k∈Clocα(Ω)∩C(Ω¯), and γ,p,λ are three positive constants. Some existence or nonexistence results are obtained for solutions of this problem by the sub-supersolution method.http://dx.doi.org/10.1155/2010/435083 |
| spellingShingle | Peng Zhang Jia-Feng Liao Existence and Nonexistence Results for Classes of Singular Elliptic Problem Abstract and Applied Analysis |
| title | Existence and Nonexistence Results for Classes of Singular Elliptic Problem |
| title_full | Existence and Nonexistence Results for Classes of Singular Elliptic Problem |
| title_fullStr | Existence and Nonexistence Results for Classes of Singular Elliptic Problem |
| title_full_unstemmed | Existence and Nonexistence Results for Classes of Singular Elliptic Problem |
| title_short | Existence and Nonexistence Results for Classes of Singular Elliptic Problem |
| title_sort | existence and nonexistence results for classes of singular elliptic problem |
| url | http://dx.doi.org/10.1155/2010/435083 |
| work_keys_str_mv | AT pengzhang existenceandnonexistenceresultsforclassesofsingularellipticproblem AT jiafengliao existenceandnonexistenceresultsforclassesofsingularellipticproblem |