Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents in RN
This paper deals with a class of quasilinear elliptic systems involving singular potentials and critical Sobolev exponents in RN. By using the symmetric criticality principle of Palais and variational methods, we prove several existence and multiplicity results of G-symmetric solutions under certain...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/430976 |
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| _version_ | 1832547437448790016 |
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| author | Zhiying Deng Yisheng Huang |
| author_facet | Zhiying Deng Yisheng Huang |
| author_sort | Zhiying Deng |
| collection | DOAJ |
| description | This paper deals with a class of quasilinear elliptic systems involving
singular potentials and critical Sobolev exponents in RN. By using the symmetric
criticality principle of Palais and variational methods, we prove several existence and
multiplicity results of G-symmetric solutions under certain appropriate hypotheses on
the potentials and parameters. |
| format | Article |
| id | doaj-art-6912439739d642f9814fd543d85eddc4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6912439739d642f9814fd543d85eddc42025-02-03T06:44:38ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/430976430976Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents in RNZhiying Deng0Yisheng Huang1School of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaDepartment of Mathematics, Soochow University, Suzhou, Jiangsu 215006, ChinaThis paper deals with a class of quasilinear elliptic systems involving singular potentials and critical Sobolev exponents in RN. By using the symmetric criticality principle of Palais and variational methods, we prove several existence and multiplicity results of G-symmetric solutions under certain appropriate hypotheses on the potentials and parameters.http://dx.doi.org/10.1155/2014/430976 |
| spellingShingle | Zhiying Deng Yisheng Huang Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents in RN Abstract and Applied Analysis |
| title | Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents in RN |
| title_full | Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents in RN |
| title_fullStr | Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents in RN |
| title_full_unstemmed | Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents in RN |
| title_short | Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents in RN |
| title_sort | multiple symmetric results for quasilinear elliptic systems involving singular potentials and critical sobolev exponents in rn |
| url | http://dx.doi.org/10.1155/2014/430976 |
| work_keys_str_mv | AT zhiyingdeng multiplesymmetricresultsforquasilinearellipticsystemsinvolvingsingularpotentialsandcriticalsobolevexponentsinrn AT yishenghuang multiplesymmetricresultsforquasilinearellipticsystemsinvolvingsingularpotentialsandcriticalsobolevexponentsinrn |