Multiplicity of Solutions to a Potential Operator Equation and Its Applications
We consider the multiplicity of solutions for operator equation involving homogeneous potential operators. With the help of Nehari manifold and fibering maps, we prove that such equation has at least two nontrivial solutions. Furthermore, we apply this result to prove the existence of two nonnegativ...
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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/10.1155/2014/947139 |
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| _version_ | 1850179352755437568 |
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| author | Jincheng Huang |
| author_facet | Jincheng Huang |
| author_sort | Jincheng Huang |
| collection | DOAJ |
| description | We consider the multiplicity of solutions for operator equation involving homogeneous potential operators. With the help of Nehari manifold and fibering maps, we prove that such equation has at least two nontrivial solutions. Furthermore, we apply this result to prove the existence of two nonnegative solutions for three types of quasilinear elliptic systems involving (p, q)-Laplacian operator and concave-convex nonlinearities. |
| format | Article |
| id | doaj-art-9e7749046c5d4e3baac8ade6dac2a01f |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9e7749046c5d4e3baac8ade6dac2a01f2025-08-20T02:18:32ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/947139947139Multiplicity of Solutions to a Potential Operator Equation and Its ApplicationsJincheng Huang0College of Sciences, Hohai University, Nanjing 210098, ChinaWe consider the multiplicity of solutions for operator equation involving homogeneous potential operators. With the help of Nehari manifold and fibering maps, we prove that such equation has at least two nontrivial solutions. Furthermore, we apply this result to prove the existence of two nonnegative solutions for three types of quasilinear elliptic systems involving (p, q)-Laplacian operator and concave-convex nonlinearities.http://dx.doi.org/10.1155/2014/947139 |
| spellingShingle | Jincheng Huang Multiplicity of Solutions to a Potential Operator Equation and Its Applications Abstract and Applied Analysis |
| title | Multiplicity of Solutions to a Potential Operator Equation and Its Applications |
| title_full | Multiplicity of Solutions to a Potential Operator Equation and Its Applications |
| title_fullStr | Multiplicity of Solutions to a Potential Operator Equation and Its Applications |
| title_full_unstemmed | Multiplicity of Solutions to a Potential Operator Equation and Its Applications |
| title_short | Multiplicity of Solutions to a Potential Operator Equation and Its Applications |
| title_sort | multiplicity of solutions to a potential operator equation and its applications |
| url | http://dx.doi.org/10.1155/2014/947139 |
| work_keys_str_mv | AT jinchenghuang multiplicityofsolutionstoapotentialoperatorequationanditsapplications |