Existence and uniqueness of radial solutions for Hardy-Hénon equations involving <i>k</i>-Hessian operators
Author:
Affiliation:
1. Laboratoire de Mathématiques: Modélisation déterministe et aléatoire, Université de Sousse, Tunisia
Abstract
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Analysis,General Medicine
Reference28 articles.
1. B. Barrios and A. Quaas, The sharp exponent in the study of the nonlocal Hénon equation in $ \mathbb{R}^n$: A Liouville theorem and an existence result, Calc. Var. Partial Differ. Equ., 59 (2020), 22 pp.
2. G. Bianchi.Non-existence of positive solutions to semilinear elliptic equations on $ \mathbb{R}^n$ or $ \mathbb{R}^n_+$ through the method of moving planes, Commun. Partial Differ. Equ., 22 (1997), 1671-1690.
3. M. F. Bidaut-Veron, L. Veron.Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations, Invent. Math., 106 (1991), 489-539.
4. M. F. Bidaut-Véron, H. Giacomini.A new dynamical approach of Emden-Fowler equations and systems, Adv. Differ. Equ., 15 (2010), 1033-1082.
5. L. Caffarelli, L. Nirenberg, J. Spruck.The Dirichlet problem for nonlinear second order elliptic equations Ⅲ: Functions of the eigenvalues of the Hessian, Acta Math., 155 (1985), 261-301.
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