Existence for Elliptic Equation Involving Decaying Cylindrical Potentials with Subcritical and Critical Exponent
We consider the existence of nontrivial solutions to elliptic equations with decaying cylindrical potentials and subcritical exponent. We will obtain a local minimizer by using Ekeland’s variational principle.
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/494907 |
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| _version_ | 1832547587840802816 |
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| author | Mohammed El Mokhtar Ould El Mokhtar |
| author_facet | Mohammed El Mokhtar Ould El Mokhtar |
| author_sort | Mohammed El Mokhtar Ould El Mokhtar |
| collection | DOAJ |
| description | We consider the existence of nontrivial solutions to elliptic equations with decaying cylindrical potentials and subcritical exponent. We will obtain a local minimizer by using Ekeland’s variational principle. |
| format | Article |
| id | doaj-art-922152874239468a96be809640c642fd |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-922152874239468a96be809640c642fd2025-02-03T06:44:16ZengWileyInternational Journal of Differential Equations1687-96431687-96512015-01-01201510.1155/2015/494907494907Existence for Elliptic Equation Involving Decaying Cylindrical Potentials with Subcritical and Critical ExponentMohammed El Mokhtar Ould El Mokhtar0Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraidah 51452, Saudi ArabiaWe consider the existence of nontrivial solutions to elliptic equations with decaying cylindrical potentials and subcritical exponent. We will obtain a local minimizer by using Ekeland’s variational principle.http://dx.doi.org/10.1155/2015/494907 |
| spellingShingle | Mohammed El Mokhtar Ould El Mokhtar Existence for Elliptic Equation Involving Decaying Cylindrical Potentials with Subcritical and Critical Exponent International Journal of Differential Equations |
| title | Existence for Elliptic Equation Involving Decaying Cylindrical Potentials with Subcritical and Critical Exponent |
| title_full | Existence for Elliptic Equation Involving Decaying Cylindrical Potentials with Subcritical and Critical Exponent |
| title_fullStr | Existence for Elliptic Equation Involving Decaying Cylindrical Potentials with Subcritical and Critical Exponent |
| title_full_unstemmed | Existence for Elliptic Equation Involving Decaying Cylindrical Potentials with Subcritical and Critical Exponent |
| title_short | Existence for Elliptic Equation Involving Decaying Cylindrical Potentials with Subcritical and Critical Exponent |
| title_sort | existence for elliptic equation involving decaying cylindrical potentials with subcritical and critical exponent |
| url | http://dx.doi.org/10.1155/2015/494907 |
| work_keys_str_mv | AT mohammedelmokhtarouldelmokhtar existenceforellipticequationinvolvingdecayingcylindricalpotentialswithsubcriticalandcriticalexponent |