R3 上帶有凹凸非線性項的Schrodinger-Poisson系統(tǒng)的無窮多解
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中圖分類號：0176.3 文獻(xiàn)標(biāo)識碼：A 文章編號：1674-0033（2025）04-0019-08
Abstract：A class of Schrodinger-Poisson systems with concave-convex nonlinear terms is studied，in which the potential function v（x）∈C（R3，R） doesnot have to satisfy the mandatory condition.Under more general concave convex nonlinear conditions，by introducing the variational framework and combining the detailedestimationofnon-local terms，the fountain theoreminthecritical point theory isutilized to prove that forany μ∈R system，there exist infinitely many high Π-Π energy solutions.This breaks through the mandatory restrictions on the potential function in traditional studies and establishes the existence theory of multiple property solutions applicable to a wider range of concave-convex nonlinear conditions. It further expands the understanding of the solutions of such complex systems.
Keywords：Schrodinger-Poisson system; Fountain Theorem; high energy solution
薛定諤-泊松系統(tǒng)由薛定諤方程和泊松方程耦合而成，用于描述量子力學(xué)中粒子在勢場中的復(fù)雜行為。（剩余10752字）