Singular elliptic problems in general domains

Abstract

In this paper, we prove the existence of solutions to nonlinear elliptic equations, which present first-order terms with natural growth with respect to the gradient and lower order terms singular in the variable that represents the solution. The problems are considered on a domain Ω, which may have infinite Lebesgue measure.

Keywords:

• Nonlinear elliptic equations
• singular lower order terms
• unbounded domain
• existence

2020 Mathematics Subject Classifications:

• 35J60
• 35J75

Disclosure statement

No potential conflict of interest was reported by the author(s).