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Search: MSC category 35J25 ( Boundary value problems for second-order elliptic equations )

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Gasiński, Leszek; Papageorgiou, Nikolaos S.
Positive solutions for the generalized nonlinear logistic equations
We consider a nonlinear parametric elliptic equation driven by a nonhomogeneous differential operator with a logistic reaction of the superdiffusive type. Using variational methods coupled with suitable truncation and comparison techniques, we prove a bifurcation type result describing the set of positive solutions as the parameter varies.

Keywords:positive solution, bifurcation type result, strong comparison principle, nonlinear regularity, nonlinear maximum principle
Categories:35J25, 35J92

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