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帶有凸凹非線性項平均曲率半正問題正解的分支曲線

2023-04-29 00:00:00王鑫鑫高紅亮

摘要:研究一維Minkowski空間中帶有凸凹非線性項給定平均曲率方程Dirichlet問題

參考文獻:

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[2] COELHO I,CORSATO C,OBERSNEL F,et al.Positive solutions of the Dirichlet problem for the one-dimensional Minkowski-curvature equation[J].Advanced Nonlinear Studies,2012,12:621-638.

[3] BEREANU C,JEBELEAN P,TORRES P J.Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space[J].Journal of Functional Analysis,2013,264(1):270-287.

[4] BEREANU C,JEBELEAN P,TORRES P J.Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowskip space[J].Journal of Functional Analysis,2013,265(4):644-659.

[5] COELHO I,CORSATO C,RIVETTI S.Positive radial solutions of the dirichlet problem for the minkowski-curvature equation in a ball[J].Topologi-cal Methods in Nonlinear Analysis,2014,44(1):23-39.

[6] MA R Y,GAO H L,LU Y Q.Global structure of radial positive solutions for a prescribed mean curvature problem in a ball[J].Journal of Functional Analysis,2016,270(7):2430-2455.

[7] DAI G W.Bifurcation and positive solutions for problem with mean curvature operator in Minkowski space[J].Calculus of Variations amp; Partial Differential Equations,2016,55(4):72.

[8] ZHANG X M,FENG M Q.Bifurcation diagrams and exact multiplicity of positive solutions of one-dimensional prescribed mean curvature equation in Minkowski space[J].Communications in Contemporary Mathematics,2018.21(3):111-137.

[9] HUANG S Y.Bifurcation curves of positive solutions for the Minkowski-curvature problem with cubic nonlinearity[J].Electronic Journal of Qualitative Theory of Differential Equations,2021,2021(41):1-29.

[10]HUANG S Y.Global bifurcation and exact multiplicity of positive solutions for the one-dimensional minkowski-curvature problem with sign-changing nonlinearity[J].Communications on Pure amp; applied Analysis,2019,18(6):3267-3284.

[11] HUANG S Y.Global bifurcation diagrams for liouville–bratu–gelfand problem with minkowski-curvature operator[J].Journal of Dynamics and Differential Equations,2021,2021(3):1-16.

[12] HUANG S Y.Exact multiplicity and bifurcation curves of positive solutions of a one-dimensional Minkowski-curvature problem and its application[J].Communications on Pure and Applied Analysis,2018,17(3):1271–1294.

[13] HUANG S Y.Classification and evolution of bifurcation curves for the one-dimensional minkowski-curvature problem and its applications[J].Journal of Differential Equations,2018,264(9):5977-6011.

[責任編輯:趙慧霞]

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