A bifurcation theorem for the p-logistic equation |
| |
| Authors: | Sophia Th Kyritsi |
| |
| Institution: | a Hellenic Naval Academy, Department of Mathematics, Hellenic Naval Academy, Piraeus 18539, Greece
b National Technical University, Department of Mathematics, Zografou Campus, Athens 15780, Greece |
| |
| Abstract: | We consider a p-logistic equation with an equidiffusive reaction. Using variational methods and truncation techniques, we show that there is a critical parameter value λ∗ > 0 such that for λ > λ∗ the problem has a unique positive smooth solution, and for λ ∈ (0, λ∗] the problem has no positive solution. |
| |
| Keywords: | p-Logistic equation Nonlinear regularity Nonlinear maximum principle Unique positive solution Bifurcation |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
