For Sobolev spaces with variable exponent on domains with a Lipschitz boundary and the exponent function from a rather large class we prove an analogue of the Sobolev inequality. As a consequence we obtain embeddings of these Sobolev spaces into gener
For Sobolev spaces with variable exponent on domains with a Lipschitz boundary and the exponent function from a rather large class we prove an analogue of the Sobolev inequality. As a consequence we obtain embeddings of these Sobolev spaces into gener (en)