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Stability of some waves in the Boussinesq system
Existence of positive solutions for $p$--Laplacian problems with weights
| 1. | Departamento de Matemáticas,, Universidad de Chile, Casilla 653, Santiago, Chile |
| 2. | Departamento de Ingeniería Matemática and CMM., Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile |
| 3. | Departamento de Matemáticas, Universidad de La Serena, Casilla 559–554, La Serena, Chile |
| 4. | Departamento de Matemáticas y C. C.,Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago |
-div$(|x|^{-a p}|\nabla u|^{p-2}\nabla u)=|x|^{-(a+1)p+c}f(x,u)$ in $\Omega$
$u=0 $ on $\partial\Omega,$
where $p>1$. We use upper and lower--solutions methods, variational techniques and regularity theory.
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