Anisotropic Robin problems with logistic reaction

Abstract

Abstract We consider Robin problems driven by the anisotropic p -Laplace operator and with a logistic reaction. Our analysis covers superdiffusive, subdiffusive and equidiffusive equations. We examine all three cases, and we prove multiplicity properties of positive solutions (superdiffusive case) and uniqueness (subdiffusive and equidiffusive cases). The equidiffusive equation is studied only in the context of isotropic operators. We explain why the more general case cannot be treated.

Locations

• Zeitschrift für angewandte Mathematik und Physik - View - PDF