Remarks on fully nonlinear equations associated with doubling lemma

ABSTRACT

In this paper, we present applications of the doubling lemma to nonlinear equations, including a k-Hessian equation and an integral equation of Wolff-type.

KEYWORDS:

• Doubling lemma
• k-Hessian equation
• Wolff potential
• Liouville theorem

2010 Mathematics Subject Classifications:

• 35B33
• 35J60
• 45G05

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

This work was supported by Innovation Project for Graduate Student Research of Jiangsu Province [grant number KYCX17 1053] and the National Natural Science Foundation of China [grant numbers 71690242, 11731014, 91546118].