Positive and nodal solutions for parametric superlinear weighted (p, q)-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 lambda > 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.(c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates a nonlinear eigenvalue problem with a weighted (p, q)-Laplacian and a superlinear reaction. The authors prove the global existence and multiplicity of solutions for lambda > 0, generate nodal solutions, and determine the topological properties of the solution set. They also establish the continuity properties of the solution multifunction.