Existence and Multiplicity of Radially Symmetric k-Admissible Solutions for Dirichlet Problem of k-Hessian Equations
-
Zhiqian He
and
Liangying Miao
Abstract
In this paper, we study the existence and multiplicity of radially symmetric k-admissible solutions for the k-Hessian equation with 0-Dirichlet boundary condition
and the corresponding one-parameter problem, where B is a unit ball in ℝn with n ≥ 1, k ∈ {1,…, n}, f: [0, +∞) → [0, +∞) is continuous. We show that the k-admissible solutions are not convex, so we construct a new cone and obtain the existence of triple and arbitrarily many k-admissible solutions via the Leggett-Williams’ fixed point theorem.
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- Existence and Multiplicity of Radially Symmetric k-Admissible Solutions for Dirichlet Problem of k-Hessian Equations
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Articles in the same Issue
- Mathematica Slovaca
- Expanding Lattice Ordered Abelian Groups to Riesz Spaces
- Ordinary Generating Functions of Binary Products of Third-Order Recurrence Relations and 2-Orthogonal Polynomials
- Quartic Polynomials with a Given Discriminant
- Joint Approximation by Dirichlet L-Functions
- Generalizations of Hardy Type Inequalities by Taylor’s Formula
- Certain Estimates of Normalized Analytic Functions
- Oscillation of Second Order Delay Differential Equations with Nonlinear Nonpositive Neutral Term
- Existence and Multiplicity of Radially Symmetric k-Admissible Solutions for Dirichlet Problem of k-Hessian Equations
- Existence and Asymptotic Periodicity of Solutions for Neutral Integro-Differential Evolution Equations with Infinite Delay
- Approximation Properties of λ-Bernstein-Kantorovich-Stancu Operators
- A Korovkin Type Approximation Theorem For Balázs Type Bleimann, Butzer and Hahn Operators via Power Series Statistical Convergence
- Hyperbolic Geometry For Non-Differential Topologists
- Set Star-Menger and Set Strongly Star-Menger Spaces
- Some Characterizations of Mixed Renewal Processes
- The U Family of Distributions: Properties and Applications
- A New Method for Generalizing Burr and Related Distributions
- On Mahler's Classification of Formal Power Series Over a Finite Field
