Existence Solutions for a Class of Schrödinger-Maxwell Systems with Steep Well Potential
In this paper, we are concerned with the system of the Schrödinger-Maxwell equations −Δu+λVxu+bKxϕu=up−2u,in R3,−Δϕ=Kxu2,in R3, where λ,b>0 are constants, and 3<p<6. Under appropriate assumptions on V and K, we prove the existence of positive solutions in the case 3<p<4 via the trunca...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6791308 |
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| author | Guocui Yang Shengzhong Duan |
| author_facet | Guocui Yang Shengzhong Duan |
| author_sort | Guocui Yang |
| collection | DOAJ |
| description | In this paper, we are concerned with the system of the Schrödinger-Maxwell equations −Δu+λVxu+bKxϕu=up−2u,in R3,−Δϕ=Kxu2,in R3, where λ,b>0 are constants, and 3<p<6. Under appropriate assumptions on V and K, we prove the existence of positive solutions in the case 3<p<4 via the truncation technique. Moreover, suppose that V may change sign, we also obtain the multiplicity of solutions for the case 4<p<6. |
| format | Article |
| id | doaj-art-212765523c7f4376a39ad6709c55cdfa |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-212765523c7f4376a39ad6709c55cdfa2025-02-03T01:06:33ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6791308Existence Solutions for a Class of Schrödinger-Maxwell Systems with Steep Well PotentialGuocui Yang0Shengzhong Duan1Department of MathematicsDepartment of MathematicsIn this paper, we are concerned with the system of the Schrödinger-Maxwell equations −Δu+λVxu+bKxϕu=up−2u,in R3,−Δϕ=Kxu2,in R3, where λ,b>0 are constants, and 3<p<6. Under appropriate assumptions on V and K, we prove the existence of positive solutions in the case 3<p<4 via the truncation technique. Moreover, suppose that V may change sign, we also obtain the multiplicity of solutions for the case 4<p<6.http://dx.doi.org/10.1155/2022/6791308 |
| spellingShingle | Guocui Yang Shengzhong Duan Existence Solutions for a Class of Schrödinger-Maxwell Systems with Steep Well Potential Journal of Function Spaces |
| title | Existence Solutions for a Class of Schrödinger-Maxwell Systems with Steep Well Potential |
| title_full | Existence Solutions for a Class of Schrödinger-Maxwell Systems with Steep Well Potential |
| title_fullStr | Existence Solutions for a Class of Schrödinger-Maxwell Systems with Steep Well Potential |
| title_full_unstemmed | Existence Solutions for a Class of Schrödinger-Maxwell Systems with Steep Well Potential |
| title_short | Existence Solutions for a Class of Schrödinger-Maxwell Systems with Steep Well Potential |
| title_sort | existence solutions for a class of schrodinger maxwell systems with steep well potential |
| url | http://dx.doi.org/10.1155/2022/6791308 |
| work_keys_str_mv | AT guocuiyang existencesolutionsforaclassofschrodingermaxwellsystemswithsteepwellpotential AT shengzhongduan existencesolutionsforaclassofschrodingermaxwellsystemswithsteepwellpotential |