Multivalued anisotropic problem with Neumann boundary condition involving diffuse Radon measure data and variable exponent
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2018, Vol 38, Issue 1
Abstract
We study a nonlinear anisotropic elliptic problem with homogeneous Neumann boundary condition governed by a general anisotropic operator with variable exponents and diffuse Radon measure data that is the Radon measure which does not charge the sets of zero p(•)-capacity. We firstly prove the existence of renormalized solutions. Secondly, we show an equivalence between renormalized solution and entropy solution. Thirdly, we end by proving an uniqueness result of entropy solution.
Authors and Affiliations
Ibrahime Konaté, Stanislas Ouaro
Keywords
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- DOI 10.7151/dmdico.1205
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