We prove uniqueness of weak (or entropy) solutions for nonmonotone elliptic equations of the type -div(a (x, u)del u) = f in a bounded set Omega subset of R-N with Dirichlet boundary conditions. The novelty of our results consists in the possibility to deal with cases when a (x, u) is only Holder continuous with respect to u.
Boccardo, L., Porretta, A. (2013). UNIQUENESS FOR ELLIPTIC PROBLEMS WITH HOLDER-TYPE DEPENDENCE ON THE SOLUTION. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 12(4), 1569-1585 [10.3934/cpaa.2013.12.1569].
UNIQUENESS FOR ELLIPTIC PROBLEMS WITH HOLDER-TYPE DEPENDENCE ON THE SOLUTION
PORRETTA, ALESSIO
2013-01-01
Abstract
We prove uniqueness of weak (or entropy) solutions for nonmonotone elliptic equations of the type -div(a (x, u)del u) = f in a bounded set Omega subset of R-N with Dirichlet boundary conditions. The novelty of our results consists in the possibility to deal with cases when a (x, u) is only Holder continuous with respect to u.File in questo prodotto:
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