Existence of solutions to biharmonic equations with sign-changing coefficients
In this article, we study the existence of solutions for the semi-linear elliptic equation $$ \Delta^2 u-a(x)\Delta u=b(x)| u|^{p-2}u $$ with Navier boundary condition $u=\Delta u=0$ on $\partial\Omega$, where $\Omega$ is a bounded domain with smooth boundary and $2<p<2^*$. We conside...
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| Format: | Article |
| Language: | English |
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Texas State University
2018-04-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/99/abstr.html |