Parametric anisotropic singular equations with [p(z), q(z)]-growth conditions and indefinite perturbation

Result type
journal article in Web of Science database
Description
We study a parametric, anisotropic, singular equation with a reaction which has the combined effects of a singular term and of a superlinear perturbation which can be sign-changing. Using variational tools together with truncation and comparison techniques, we prove an existence and multiplicity result which is global with respect to the parameter (a “bifurcation-type" theorem).
Keywords
Comparison principle
Maximum principle
Multiple positive solutions
Sign-changing perturbation
Singular regularity
Variable exponent spaces