Multiple Solutions to Elliptic Equations on RN with Combined Nonlinearities
In this paper, we are concerned with the multiplicity of nontrivial radial solutions for the following elliptic equations (P)λ: -Δu+Vxu=λQxuq-2u+Qxfu,x∈RN; u(x)→0, as x→+∞, where 1<q<2,0<λ∈R,N≥3, V, and Q are radial positive functions, which can be vanishing or coercive at infinity, and f i...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/284953 |
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| _version_ | 1832564543383928832 |
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| author | Miaomiao Yang Anran Li |
| author_facet | Miaomiao Yang Anran Li |
| author_sort | Miaomiao Yang |
| collection | DOAJ |
| description | In this paper, we are concerned with the multiplicity of nontrivial radial solutions for the following elliptic equations (P)λ: -Δu+Vxu=λQxuq-2u+Qxfu,x∈RN; u(x)→0, as x→+∞, where 1<q<2,0<λ∈R,N≥3, V, and Q are radial positive functions, which can be vanishing or coercive at infinity, and f is asymptotically linear at infinity. |
| format | Article |
| id | doaj-art-704c67feeb5949809d65777bb35c680b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-704c67feeb5949809d65777bb35c680b2025-02-03T01:10:48ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/284953284953Multiple Solutions to Elliptic Equations on RN with Combined NonlinearitiesMiaomiao Yang0Anran Li1School of Science, Qilu University of Technology, Jinan, Shandong 250353, ChinaSchool of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, ChinaIn this paper, we are concerned with the multiplicity of nontrivial radial solutions for the following elliptic equations (P)λ: -Δu+Vxu=λQxuq-2u+Qxfu,x∈RN; u(x)→0, as x→+∞, where 1<q<2,0<λ∈R,N≥3, V, and Q are radial positive functions, which can be vanishing or coercive at infinity, and f is asymptotically linear at infinity.http://dx.doi.org/10.1155/2014/284953 |
| spellingShingle | Miaomiao Yang Anran Li Multiple Solutions to Elliptic Equations on RN with Combined Nonlinearities Abstract and Applied Analysis |
| title | Multiple Solutions to Elliptic Equations on RN with Combined Nonlinearities |
| title_full | Multiple Solutions to Elliptic Equations on RN with Combined Nonlinearities |
| title_fullStr | Multiple Solutions to Elliptic Equations on RN with Combined Nonlinearities |
| title_full_unstemmed | Multiple Solutions to Elliptic Equations on RN with Combined Nonlinearities |
| title_short | Multiple Solutions to Elliptic Equations on RN with Combined Nonlinearities |
| title_sort | multiple solutions to elliptic equations on rn with combined nonlinearities |
| url | http://dx.doi.org/10.1155/2014/284953 |
| work_keys_str_mv | AT miaomiaoyang multiplesolutionstoellipticequationsonrnwithcombinednonlinearities AT anranli multiplesolutionstoellipticequationsonrnwithcombinednonlinearities |