Abstract: |
We study evolutionary bifurcation diagrams for a $p$-Laplacian generalized logistic problem where $p > 1$ and $\mu > 0$ is the harvesting parameter. We mainly prove that, for fixed $\mu > 0$, on the $( \lambda, \left \Vert u \right \Vert _{\infty} )$-plane, the bifurcation diagram always consists of a $\subset$-shaped curve and then we study the structures and evolution of bifurcation diagrams for varying $\mu > 0$. We give two interesting applications. It is a joint work with Kuo-Chih Hung and Jhih-Jyun Zeng. |
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