Bifurcation of nonlinear elliptic system from the first eigenvalue
We study the following bifurcation problem in a bounded domain $\Omega$ in $\mathbb{R}^N$: $$\left\{\begin{array}{lll} -\Delta_p u=&\lambda |u|^{\alpha}|v|^{\beta}v \,+ f(x,u,v,\lambda)& \mbox{in} \ \Omega\\ -\Delta_q v=&\lambda |u|^{\alpha}|v|^{\beta}u \, + g(x,u,v,\lambda) & \mbo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2003-10-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=128 |