Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions
Résumé
In this note we present some uniqueness and comparison results
for a class of problem of the form (0.1) −Lu = H(x, u, ∇u) + h(x), u ∈ H1 0 (Ω) ∩ L∞(Ω), where Ω ⊂ R N , N ≥ 2 is a bounded domain, L is a general elliptic second order linear operator with bounded coefficients and H is allowed to have a critical growth in the gradient. In some cases our assumptions prove to be sharp.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)