Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent
We prove the existence and multiplicity of solutions for a nonhomogeneous elliptic equation involving decaying cylindrical potential and critical exponent.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2011-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/54/abstr.html |
| _version_ | 1818835592332443648 |
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| author | Mohammed Bouchekif Mohammed E. O. El Mokhtar |
| author_facet | Mohammed Bouchekif Mohammed E. O. El Mokhtar |
| author_sort | Mohammed Bouchekif |
| collection | DOAJ |
| description | We prove the existence and multiplicity of solutions for a nonhomogeneous elliptic equation involving decaying cylindrical potential and critical exponent. |
| first_indexed | 2024-12-19T02:53:10Z |
| format | Article |
| id | doaj.art-71d9bb8896d249ce8f64e0e537cb110e |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-19T02:53:10Z |
| publishDate | 2011-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-71d9bb8896d249ce8f64e0e537cb110e2022-12-21T20:38:30ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-04-01201154,110Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponentMohammed BouchekifMohammed E. O. El MokhtarWe prove the existence and multiplicity of solutions for a nonhomogeneous elliptic equation involving decaying cylindrical potential and critical exponent.http://ejde.math.txstate.edu/Volumes/2011/54/abstr.htmlHardy-Sobolev-Maz'ya inequalityPalais-Smale conditionNehari manifoldcritical exponent |
| spellingShingle | Mohammed Bouchekif Mohammed E. O. El Mokhtar Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent Electronic Journal of Differential Equations Hardy-Sobolev-Maz'ya inequality Palais-Smale condition Nehari manifold critical exponent |
| title | Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent |
| title_full | Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent |
| title_fullStr | Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent |
| title_full_unstemmed | Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent |
| title_short | Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent |
| title_sort | nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent |
| topic | Hardy-Sobolev-Maz'ya inequality Palais-Smale condition Nehari manifold critical exponent |
| url | http://ejde.math.txstate.edu/Volumes/2011/54/abstr.html |
| work_keys_str_mv | AT mohammedbouchekif nonhomogeneousellipticequationswithdecayingcylindricalpotentialandcriticalexponent AT mohammedeoelmokhtar nonhomogeneousellipticequationswithdecayingcylindricalpotentialandcriticalexponent |