Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent
Stanislas Ouaro, Arouna Ouédraogo, Safimba Soma · Advances in Nonlinear Analysis · 2014
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.