Global and local behavior of the bifurcation diagrams for semilinear problems
We consider the nonlinear eigenvalue problem $$\displaylines{ u''(t) + \lambda (u(t)^p - u(t)^q) = 0, \quad u(t) > 0,\quad -1<t<1,\cr u(1) = u(-1) = 0, }$$ where $1 < p < q$ are constants and $\lambda > 0$ is a parameter. It is known in [13] that the bifurcation cur...
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| Format: | Article |
| Language: | English |
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Texas State University
2016-07-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/201/abstr.html |