We study the existence of weak positive solutions for a new class of Kirchhoff parabolic systems in bounded domains with multiple parameters taking into account the symmetry conditions and the right-hand side defined as a multiplication of two separate functions. Our results are natural extensions of previous results in the field, which used the same method for some classical elliptic equations.
"Existence of positive solutions for a new class of Kirchhoff parabolic systems." Rocky Mountain J. Math. 50 (2) 445 - 454, April 2020. https://doi.org/10.1216/rmj.2020.50.445