Existence and non-existence of solutions for a p(x)-biharmonic problem
In this article, we study the following problem with Navier boundary conditions $$\displaylines{ \Delta (|\Delta u|^{p(x)-2}\Delta u)+|u|^{p(x)-2}u =\lambda |u|^{q(x)-2}u +\mu|u|^{\gamma(x)-2}u\quad \text{in } \Omega,\cr u=\Delta u=0 \quad \text{on } \partial\Omega. }$$ where $\Omega$ is a b...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/158/abstr.html |