| Abstract: |
| A sub-supersolution method is used in the case of a quasilinear Dirichlet problem which exhibits convection, with an intrinsic operator, and whose principal part contains an unbounded coefficient $G(u)$ depending on the solution $u$. In particular a truncation technique leading to a priori estimates is developed, not only for the reaction term in the equation, but also for the unbounded coefficient. A different truncation method is used to study a Dirichlet problem whose equation is driven by a degenerate $p$-Laplacian with a weight depending on $x$ and on the solution and whose reaction term is a convection term. The existence of solutions is obtained together with uniform boundedness of the solution set.
Joint work with professors D. Motreanu and R. Livrea |
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