We prove a comparison principle for second order quasilinear elliptic operators in divergence form when a first order term appears. We deduce uniqueness results for weak solutions to Dirichlet problems when data belong to the natural dual space.
Comparison principle for some classes of nonlinear elliptic equations / Alvino, Angelo; M. F., Betta; Mercaldo, Anna. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 249:12(2010), pp. 3279-3290. [10.1016/j.jde.2010.07.030]
Comparison principle for some classes of nonlinear elliptic equations
ALVINO, ANGELO;MERCALDO, ANNA
2010
Abstract
We prove a comparison principle for second order quasilinear elliptic operators in divergence form when a first order term appears. We deduce uniqueness results for weak solutions to Dirichlet problems when data belong to the natural dual space.File in questo prodotto:
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