Positive Solutions for the Generalized Nonlinear Logistic Equations
Printed: Mar 2016
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
as the parameter varies.
positive solution, bifurcation type result, strong comparison principle, nonlinear regularity, nonlinear maximum principle
35J25 - Boundary value problems for second-order elliptic equations
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