GLOBAL MULTIPLICITY FOR PARAMETRIC ANISOTROPIC NEUMANN (p, q)-EQUATIONS

Result type
journal article in Web of Science database
Description
We consider a Neumann boundary value problem driven by the anisotropic (p, q)-Laplacian plus a parametric potential term. The reaction is "superlinear". We prove a global (with respect to the parameter) multiplicity result for positive solutions. Also, we show the existence of a minimal positive solution and finally, we produce a nodal solution.
Keywords
Anisotropic operator
superlinear reaction
positive and nodal solutions
critical groups