Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth
In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-08-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2020-2098 |
| _version_ | 1798043398177816576 |
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| author | Lu Guozhen Shen Yansheng |
| author_facet | Lu Guozhen Shen Yansheng |
| author_sort | Lu Guozhen |
| collection | DOAJ |
| description | In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth: |
| first_indexed | 2024-04-11T22:48:30Z |
| format | Article |
| id | doaj.art-e948fc409b854069865240e22adb370f |
| institution | Directory Open Access Journal |
| issn | 1536-1365 2169-0375 |
| language | English |
| last_indexed | 2024-04-11T22:48:30Z |
| publishDate | 2020-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj.art-e948fc409b854069865240e22adb370f2022-12-22T03:58:39ZengDe GruyterAdvanced Nonlinear Studies1536-13652169-03752020-08-0120357959710.1515/ans-2020-2098Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev GrowthLu Guozhen0Shen Yansheng1Department of Mathematics, University of Connecticut, Storrs, CT 06269, USASchool of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing100875, P. R. ChinaIn this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:https://doi.org/10.1515/ans-2020-2098elliptic systemconcentration compactness principle35b33 35j50 39b72 45g15 |
| spellingShingle | Lu Guozhen Shen Yansheng Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth Advanced Nonlinear Studies elliptic system concentration compactness principle 35b33 35j50 39b72 45g15 |
| title | Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth |
| title_full | Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth |
| title_fullStr | Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth |
| title_full_unstemmed | Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth |
| title_short | Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth |
| title_sort | existence of solutions to fractional p laplacian systems with homogeneous nonlinearities of critical sobolev growth |
| topic | elliptic system concentration compactness principle 35b33 35j50 39b72 45g15 |
| url | https://doi.org/10.1515/ans-2020-2098 |
| work_keys_str_mv | AT luguozhen existenceofsolutionstofractionalplaplaciansystemswithhomogeneousnonlinearitiesofcriticalsobolevgrowth AT shenyansheng existenceofsolutionstofractionalplaplaciansystemswithhomogeneousnonlinearitiesofcriticalsobolevgrowth |