ABSTRACT

We consider existence, uniqueness and multiplicity of positive radial solutions to −   Δ u   =   λ F ( r , u ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003067498/6ba0c26b-f086-40cc-86ed-1693dc596221/content/eq580.tif"/> subject to linear boundary conditions on an annular region in ℝn. A structure theorem is also given for the positive radial solution of − Δ u = f ( u ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003067498/6ba0c26b-f086-40cc-86ed-1693dc596221/content/eq581.tif"/> where f(u) has supercritical growth near u = 0 and subcritical growth near u = ∞.