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A unified treatment using critical point methods of the existence of multiple solutions for superlinear and sublinear neumann problems
(American Institute of Mathematical Sciences (AIMS), 2011-05-01)
In this paper we present a framework which permits the unified treatment of the existence of multiple solutions for superlinear and sublinear Neumann problems. Using critical point theory, truncation techniques, the method ...
Positive solutions and bifurcation phenomena for nonlinear elliptic equations of logistic type: the superdiffusive case
(American Institute of Mathematical Sciences (AIMS), 2010-08-01)
We consider a nonlinear elliptic equation of logistic type, driven by the p-Laplacian differential operator with a general superdiffusive reaction. We show that the equation exhibits a bifurcation phenomenon. Namely there ...