Uniqueness for elliptic problems with Hölder--type dependence on the solution | Zendy

Lucio Boccardo | Zendy; Alessio Porretta | Zendy

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Uniqueness for elliptic problems with Hölder--type dependence on the solution

Author(s) -

Lucio Boccardo,

Alessio Porretta

Publication year - 2012

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2013.12.1569

Subject(s) - uniqueness , nabla symbol , bounded function , mathematics , dirichlet problem , weak solution , type (biology) , omega , mathematical analysis , dirichlet distribution , pure mathematics , boundary value problem , elliptic curve , physics , ecology , quantum mechanics , biology

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

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