Abstract

We examine a problem involving two obstacles and measure data. In cases where the measures do not affect sets with zero p ( ⋅ ) -capacity, we establish both the presence and singularity of a unique solution. Conversely, when dealing with measures concentrated on a set possessing zero p ( ⋅ ) -capacity, we demonstrate a lack of viable solutions. Specifically, when attempting to locate solutions through approximation methods, we find that there is no reasonable solution available.

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