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.
Positive and nodal solutions for parametric superlinear weighted (p,q)-equations
Scapellato A.
2023-01-01
Abstract
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.File in questo prodotto:
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