Existence of solution for a class of biharmonic equations
In this paper, We prove the solvability of the biharmonic problem $$\begin{cases}\Delta^{2}u=f(x,u)+h ~~~~in~~\Omega, &\hbox{}\\ u=\Delta u=0 ~~~~~~on ~~\partial\Omega,\\\end{cases}$$ for a given function $h\in L^2(\Omega)$, if the limits at infinity of the quotients $f(x,s)/s$ and $2F(x,s)/s...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2014-01-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/16178 |