SOLUTIONS TO ELLIPTIC SYSTEMS INVOLVING DOUBLY CRITICAL NONLINEARITIES AND HARDY-TYPE POTENTIALS
In this article, an elliptic system is investigated, which involves Hardy-type potentials, critical Sobolev-type nonlinearities, and critical Hardy-Sobolev-type nonlinearities. By a variational global-compactness argument, the Palais-Smale sequences of related approximation problems is analyzed and...
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| Veröffentlicht in: | Acta mathematica scientia 2015-03, Vol.35 (2), p.423-438 |
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| container_end_page | 438 |
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| container_title | Acta mathematica scientia |
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| creator | 康东升 罗婧 史晓琳 |
| description | In this article, an elliptic system is investigated, which involves Hardy-type potentials, critical Sobolev-type nonlinearities, and critical Hardy-Sobolev-type nonlinearities. By a variational global-compactness argument, the Palais-Smale sequences of related approximation problems is analyzed and the existence of infinitely many solutions to the system is established. |
| doi_str_mv | 10.1016/S0252-9602(15)60013-3 |
| format | Article |
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| ispartof | Acta mathematica scientia, 2015-03, Vol.35 (2), p.423-438 |
| issn | 0252-9602 1572-9087 |
| language | eng |
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| source | Elsevier ScienceDirect Journals; Alma/SFX Local Collection |
| subjects | 35J50 35J60 critical nonlinearity Elliptic system global compactness Hardy inequality solution 临界期 无穷多 椭圆型方程组 椭圆形 系统 索伯列夫 逼近问题 非线性 |
| title | SOLUTIONS TO ELLIPTIC SYSTEMS INVOLVING DOUBLY CRITICAL NONLINEARITIES AND HARDY-TYPE POTENTIALS |
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