Weak solutions to degenerate <i>p</i> ( <i>t</i> )-Laplacian elliptic equations involving ( <i>q, r</i> ( <i>t</i> )) double phase Hardy terms

This paper is devoted to establishing novel existence criteria for weak solutions to a class of weighted quasilinear degenerate elliptic equations featuring double phase Hardy-type singular coefficients. These types of problems are rarely discussed in variable exponent Sobolev spaces in previous work. We prove the existence of at least one and at least two weak solutions via variational methods and critical point theory, under appropriate assumptions on the weight function and the nonlinearity.