Positive Solutions for the Generalized Nonlinear Logistic Equations

Canadian mathematical bulletin

Leszek Gasiński¹  Nikolaos S. Papageorgiou² 

[1] Jagiellonian University, Faculty of Mathematics and Computer Science, , ul. Łojasiewicza 6, 30-348 Kraków, Poland;National Technical University, Department of Mathematics, Zografou Campus, Athens 15780, Greece

关键词: positive solution;    bifurcation type result;    strong comparison principle;    nonlinear regularity;    nonlinear maximum principle;   

DOI  :  10.4153/CMB-2015-064-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We consider a nonlinear parametric elliptic equation drivenby a nonhomogeneous differential operator with a logistic reaction of the superdiffusive type. Using variational methods coupled with suitable truncationand comparison techniques, we prove a bifurcation type result describing the set of positivesolutions as the parameter varies.

【 授权许可】

Unknown