Measure of noncompactness of Sobolev embeddings on strip-like domains

David E. Edmunds, Jan Lang, Zdeněk Mihula

We compute the precise value of the measure of noncompactness of Sobolev embeddings $W_0^{1,p}(D)\hookrightarrow L^p(D)$, $p\in (1,\infty )$, on strip-like domains $D$ of the form $\…