Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 40, pp. 1-16.

Title: Existence of solutions to nonlocal elliptic problems with singular and combined nonlinearities
       
Author: Jesus Alberto Leon Tordecilla (Univ. Estadual de Campinas, SP, Brazil)

Abstract:   
We use an approximation scheme together with a variation of the fixed point theorem to show
the existence of a positive solution to a nonlocal boundary value problem.
This problem has a smooth bounded domain in R<sup>N</sup>, a singular term, and
combined nonlinearities. We also study the symmetric, monotonicity, and asymptotic behavior
of the solutions with respect to a parameter involved in the problem.

Submitted October 9, 2021. Published June 27, 2022.
Math Subject Classifications: 35J75, 35B40, 35J60, 35B25, 58K55.
Key Words: Nonlocal problem; singular equation; Galerkin method; 
           positive solution; asymptotic behavior.