The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents
Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev-Hardy exponent is proved. This result extends...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2019/6021293 |
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| author | M. Khiddi |
| author_facet | M. Khiddi |
| author_sort | M. Khiddi |
| collection | DOAJ |
| description | Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev-Hardy exponent is proved. This result extends several recent results on the topic. |
| format | Article |
| id | doaj-art-40503dd977a34f05a67e859e871e3592 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-40503dd977a34f05a67e859e871e35922025-02-03T06:48:38ZengWileyAbstract and Applied Analysis1085-33751687-04092019-01-01201910.1155/2019/60212936021293The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical ExponentsM. Khiddi0E.G.A.L, Dépt. Maths, Fac. Sciences, Université Ibn Tofail, BP.133, Kénitra, MoroccoVia the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev-Hardy exponent is proved. This result extends several recent results on the topic.http://dx.doi.org/10.1155/2019/6021293 |
| spellingShingle | M. Khiddi The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents Abstract and Applied Analysis |
| title | The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents |
| title_full | The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents |
| title_fullStr | The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents |
| title_full_unstemmed | The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents |
| title_short | The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents |
| title_sort | existence of positive solution for semilinear elliptic equations with multiple an inverse square potential and hardy sobolev critical exponents |
| url | http://dx.doi.org/10.1155/2019/6021293 |
| work_keys_str_mv | AT mkhiddi theexistenceofpositivesolutionforsemilinearellipticequationswithmultipleaninversesquarepotentialandhardysobolevcriticalexponents AT mkhiddi existenceofpositivesolutionforsemilinearellipticequationswithmultipleaninversesquarepotentialandhardysobolevcriticalexponents |