Advances in Nonlinear Analysis (Nov 2014)
Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent
Abstract
We study a nonlinear elliptic problem with Robin type boundary condition, governed by a general Leray–Lions operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(·)-capacity. We prove an existence and uniqueness result of a weak solution.
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