<abstract><p>In an earlier paper, Cruz-Uribe, Rodney and Rosta proved equivalence between weighted Poincaré inequalities the existence of weak solutions to a family Neumann problems related degenerate $ p $-Laplacian. Here we prove similar in variable exponent spaces {p(\cdot)} $-Laplacian, non-linear elliptic equation with nonstandard growth conditions.</p></abstract>

Feedback is useful in memoryless channels for decreasing complexity and increasing reliability; the capacity of the memoryless channels, however, can not be increased by feedback. For fixed length block codes even the decay rate of error probability with block length does not increase with feedback for most channel models. Consequently for making the physical layer more reliable for higher laye...