Quasilinear elliptic problems with general growth and merely integrable, or measure, data (1708.07432v1)

Published 24 Aug 2017 in math.AP

Abstract: Boundary value problems for a class of quasilinear elliptic equations, with an Orlicz type growth and L¹ right-hand side are considered. Both Dirichlet and Neumann problems are contemplated. Existence and uniqueness of generalized solutions, as well as their regularity, are established. The case of measure right-hand sides is also analyzed.

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