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- W4320147855 abstract "At present, many achievements have been made in the research of Choquard equation. In this paper, some new conclusions about the Choqaurd type problems are obtained through the variational method. It is different from the other Choqaurd equations with critical exponent, in this study, we consider a kind of Choqaurd equations with doubly critical exponents and local perturbation at the same time. The key point of this paper is that Sobolev embedding from workspace to Lebesgue space is not compact. Therefore, it is almost impossible to use conventional methods to obtain the convergence of (PS)c sequences. In order to eliminate the difficulty, We use the Pohoˇzaev manifold to complete the proof of the existence of solutions for a class of Choquard equations. We also take some new tricks in this equation" @default.
- W4320147855 created "2023-02-13" @default.
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- W4320147855 date "2022-01-01" @default.
- W4320147855 modified "2023-10-07" @default.
- W4320147855 title "Ground state solution for a kind of Choquard equations with doubly critical exponents and local perturbation" @default.
- W4320147855 doi "https://doi.org/10.47509/ijmsor.2022.v02i02.06" @default.
- W4320147855 hasPublicationYear "2022" @default.
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