Positive and nodal solutions for parametric superlinear weighted [formula omitted]-equations.

We consider a nonlinear eigenvalue problem for equations driven by a weighted (p , q) -Laplacian and a superlinear reaction. We prove a global (with respect to the parameter λ > 0) existence and multiplicity result. We also generate nodal (sign-changing) solutions. Finally, we determine the topological properties of the solution set and prove the continuity properties of the solution multifunction. [ABSTRACT FROM AUTHOR]