Ground State Solutions of Schrödinger-Kirchhoff Equations with Potentials Vanishing at Infinity
In this paper, we deal with the following Schrödinger-Kirchhoff equation with potentials vanishing at infinity: −ε2a+εb∫ℝ3∇u2Δu+Vxu=Kxup−1u in ℝ3and u>0,u∈H1ℝ3, where Vx~x−α and Kx~x−β with 0<α<2, and β>0. We first prove the existence of positive ground state solutions uε∈H1ℝ3 under the...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/8829268 |