Results 1 to 10 of about 5,086 (95)
Existence and multiplicity of radially symmetric k-admissible solutions for a k-Hessian equation
Boundary Value Problems, 2022 In this paper, we show that the radially symmetric k-admissible solutions set of a k-Hessian equation Dirichlet problem with homogeneous boundary condition contains a reversed S-shaped connected component.
Liangying Miao, Zhiqian He
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Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the $k$-Hessian operator. We also give some interesting qualitative properties of solutions.
Mohamed Ben Chrouda
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The iterative properties of solutions for a singular k-Hessian system
Nonlinear Analysis, 2023 In this paper, we focus on the uniqueness and iterative properties of solutions for a singular k-Hessian system involving coupled nonlinear terms with different properties.
Xinguang Zhang +3 more
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The exterior Dirichlet problem for the homogeneous complex k-Hessian equation
Advanced Nonlinear Studies, 2023 In this article, we consider the homogeneous complex kk-Hessian equation in an exterior domain Cn⧹Ω{{\mathbb{C}}}^{n}\setminus \Omega . We prove the existence and uniqueness of the C1,1{C}^{1,1} solution by constructing approximating solutions.
Gao Zhenghuan, Ma Xinan, Zhang Dekai
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Regularity of degenerate k-Hessian equations on closed Hermitian manifolds
Advanced Nonlinear Studies, 2022 In this article, we are concerned with the existence of weak C1,1{C}^{1,1} solution of the kk-Hessian equation on a closed Hermitian manifold under the optimal assumption of the function in the right-hand side of the equation.
Zhang Dekai
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The Neumann problem of Hessian quotient equations
Bulletin of Mathematical Sciences, 2021 In this paper, we obtain some important inequalities of Hessian quotient operators, and global C2 estimates of the Neumann problem of Hessian quotient equations. By the method of continuity, we establish the existence theorem of k-admissible solutions of
Chuanqiang Chen, Dekai Zhang
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Nonlinear Analysis, 2020 In this paper, we establish the results of nonexistence and existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator. Under some suitable growth conditions for nonlinearity, the result of nonexistence of blow-up solutions ...
Xinguang Zhang +3 more
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The existence of infinitely many boundary blow-up solutions to the p-k-Hessian equation
Advanced Nonlinear Studies, 2023 The primary objective of this article is to analyze the existence of infinitely many radial pp-kk-convex solutions to the boundary blow-up pp-kk-Hessian problem σk(λ(Di(∣Du∣p−2Dju)))=H(∣x∣)f(u)inΩ,u=+∞on∂Ω.{\sigma }_{k}\left(\lambda \left({D}_{i}\left({|
Feng Meiqiang, Zhang Xuemei
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Unilateral Global Interval Bifurcation for the Hessian Equation and Its Applications
Discrete Dynamics in Nature and Society, 2020 In this paper, we establish a unilateral global bifurcation result from the interval for the k-Hessian equations with nondifferentiable nonlinearity. By applying the above result, we shall prove the existence of the principal half-eigenvalues for the ...
Wenguo Shen
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Positive Radially Symmetric Entire Solutions of p-k-Hessian Equations and Systems
Mathematics, 2022 In this paper, we discuss the existence of positive radially symmetric entire solutions of the p-k-Hessian equation σk1kλDi|Du|p−2Dju=α1k(|x|)f(u), and the general p-k-Hessian system σk1kλDi|Du|p−2Dju=α1k(|x|)f1(v)f2(u), σk1kλDi|Dv|p−2Djv=β1k(|x|)g1(u)g2(
Wei Fan, Limei Dai, Bo Wang
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