A refined bound on the dimension of ℝN for an elliptic system involving critical terms with infinitely many solutions
In this paper, we extend the result of Yan and Yang [16] on equations to an elliptic system involving critical Sobolev and Hardy–Sobolev exponents in bounded domains satisfying some geometric condition. In addition, we weaken the conditions on the dimension N and on the potential a(x){a(x)} set in...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-02-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2015-0164 |
| Summary: | In this paper, we extend the result of Yan and Yang [16] on equations to an elliptic system involving critical Sobolev and Hardy–Sobolev exponents in bounded domains satisfying some geometric condition.
In addition, we weaken the conditions on the dimension N and on the potential a(x){a(x)} set in [16]. Our main result asserts, by a variational global-compactness argument, that
the condition on the dimension N can be refined from N≥7{N\geq 7} to N>max(4,⌊2s⌋+2){N>\max(4,\lfloor 2s\rfloor+2)}, where 0<s<2{0<s<2} and still end up with infinitely many solutions. |
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| ISSN: | 2191-9496 2191-950X |