Radial and non-radial solutions for a class of (<i>p</i>, <i>q</i>)-Laplace equations involving weights

Abstract We investigate radial and non-radial solutions to a class of ( p , q )-Laplace equations involving weights. More precisely, we obtain existence and multiplicity results for nontrivial nonnegative radial and non-radial solutions, which extend results in the literature. Moreover, we study the non-radiality of minimizers in Hénon type ( p , q )-Laplace problems and symmetry-breaking phenomena. Dedicated to Professor Pavel Drábek on the occasion of his seventieth birthday