Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (5): 1015-1024.
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YAO Yanyan, XU Jing, GAO Hongliang
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Abstract: By using the principle of time maps, we study the exact multiplicity and bifurcation diagrams of positive solutions of Dirichlet problem for a prescried mean curvature equation in the onedimensional Minkowski space, where λ>0 and L>0 are parameters. We obtain the results that the above problem has no positive solution, exactly one positive solution and exactly two positive solutions when the nonlinear terms f(u)=u(eu-1) and f(u)=eu-1, respectively.
Key words: Minkowski space, mean curvature, time maps, exact multiplicity of positive solution, Dirichlet problem
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YAO Yanyan, XU Jing, GAO Hongliang. Exact Multiplicity of Positive Solutions of Dirichlet Problems with Special Nonlinear Terms[J].Journal of Jilin University Science Edition, 2021, 59(5): 1015-1024.
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