Solutions of a double phase singular Kirchhoff type equation with nonstandard growth
DOI:
https://doi.org/10.2298/FIL2609239RKeywords:
Double phase operator, variable exponents, constrained minimization, strong-weak variable singularity, global minimizerAbstract
A specific category of singular class of double phase Kirchhoff type equations characterized by variable singularities is studied. By employing variational method, we prove both the uniqueness and existence of positive solutions for cases of weak variable singularities, where singularity $\eta$ lies within the interval $(0,1)$, as well as for strong variable singularities, where $\eta$ exceeds $1$. Additionally, we present an application from composite materials.
