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Anisotropic Robin problems with logistic reaction

Anisotropic Robin problems with logistic reaction

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 …