Ground-State Solutions for a Class of N-Laplacian Equation with Critical Growth
We investigate the existence of ground-state solutions for a class of N-Laplacian equation with critical growth in ℝN. Our proof is based on a suitable Trudinger-Moser inequality, Pohozaev-Pucci-Serrin identity manifold, and mountain pass lemma.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/831468 |
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| _version_ | 1832556179891421184 |
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| author | Guoqing Zhang Jing Sun |
| author_facet | Guoqing Zhang Jing Sun |
| author_sort | Guoqing Zhang |
| collection | DOAJ |
| description | We investigate the existence of ground-state solutions for a class of N-Laplacian equation with critical growth in ℝN. Our proof is based on a suitable Trudinger-Moser inequality, Pohozaev-Pucci-Serrin identity manifold, and mountain pass lemma. |
| format | Article |
| id | doaj-art-4005b9e71fac47c38947e02cc00df02e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4005b9e71fac47c38947e02cc00df02e2025-02-03T05:46:09ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/831468831468Ground-State Solutions for a Class of N-Laplacian Equation with Critical GrowthGuoqing Zhang0Jing Sun1College of Science, University of Shanghai for Science and Technology, Shanghai 200093, ChinaCollege of Science, University of Shanghai for Science and Technology, Shanghai 200093, ChinaWe investigate the existence of ground-state solutions for a class of N-Laplacian equation with critical growth in ℝN. Our proof is based on a suitable Trudinger-Moser inequality, Pohozaev-Pucci-Serrin identity manifold, and mountain pass lemma.http://dx.doi.org/10.1155/2012/831468 |
| spellingShingle | Guoqing Zhang Jing Sun Ground-State Solutions for a Class of N-Laplacian Equation with Critical Growth Abstract and Applied Analysis |
| title | Ground-State Solutions for a Class of N-Laplacian Equation with Critical Growth |
| title_full | Ground-State Solutions for a Class of N-Laplacian Equation with Critical Growth |
| title_fullStr | Ground-State Solutions for a Class of N-Laplacian Equation with Critical Growth |
| title_full_unstemmed | Ground-State Solutions for a Class of N-Laplacian Equation with Critical Growth |
| title_short | Ground-State Solutions for a Class of N-Laplacian Equation with Critical Growth |
| title_sort | ground state solutions for a class of n laplacian equation with critical growth |
| url | http://dx.doi.org/10.1155/2012/831468 |
| work_keys_str_mv | AT guoqingzhang groundstatesolutionsforaclassofnlaplacianequationwithcriticalgrowth AT jingsun groundstatesolutionsforaclassofnlaplacianequationwithcriticalgrowth |