Spectrum, global bifurcation and nodal solutions to Kirchhoff-type equations
In this article, we consider a Dancer-type unilateral global bifurcation for the Kirchhoff-type problem $$\displaylines{ -\Big(a+b\int_0^1 | u'|^2\,dx\Big)u'' =\lambda u+h(x,u,\lambda)\quad\text{in } (0,1),\cr u(0)=u(1)=0. }$$ Under natural hypotheses on h, we show that $(a\l...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/179/abstr.html |