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- W4220924338 abstract "This paper is devoted to dealing with the following nonlinear Kirchhoff type problem with general convolution nonlinearity and variable potential: $$left{begin{array}{ll} -({a + bint_{{R^3}} | nabla u{|^2}dx})Delta u + V(x)u =(I_{alpha}ast F(u))f(u),quad text{in} R^3, u in H^{1} (R^{3}), end{array}right.$$ where $a>0$, $bgeq0$ are constants, $Vin C^1(R^3,[0,+infty))$, $fin C(R,R)$, $F(t)=int_{0}^{t}f(s)ds$, $I_{alpha}:R^{3}rightarrow R$ is the Riesz potential, $alphain(0,3)$. By applying some new analytical tricks introduced by [X.H. Tang, S.T. Chen, Adv. Nonlinear Anal. 9 (2020) 413-437], the existence results of ground state solutions of Pohov{z}aev type for the above Kirchhoff type problem are obtained under some mild assumptions on $V$ and the general “Berestycki-Lions assumptions” on the nonlinearity $f$. Our results generalize and improve the ones in [P. Chen, X.C. Liu, J. Math. Anal. Appl. 473 (2019) 587-608.] and other related results in the literature." @default.
- W4220924338 created "2022-04-03" @default.
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- W4220924338 date "2022-03-08" @default.
- W4220924338 modified "2023-09-27" @default.
- W4220924338 title "Ground state solutions of Pohov{z}aev type for Kirchhoff type problems with general convolution nonlinearity and variable potential" @default.
- W4220924338 doi "https://doi.org/10.22541/au.164677149.91746826/v1" @default.
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