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427 (0,069s) •

Result

Optimal Sobolev embeddings

Optimal Sobolev embeddings...

BA - Obecná matematika

  • 1999
    • •
  • D
Result

Compactness for Sobolev-type trace operators

Compactness of arbitrary-order Sobolev type embeddings for traces of n-dimensional functions on lower dimensional subspaces is investigated. Sobolev spaces built upon any rearrangement-invariant norm are allowed. In particular, we c...

Pure mathematics

  • 2019
    • •
  • Jimp
    • •
  • Link
Result

Sobolev embeddings with variable exponent, II.

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 So...

BA - Obecná matematika

  • 2002
    • •
  • Jx
Result

Bi-Sobolev homeomorphism with zero Jacobian almost everywhere

We construct a homeomorphism in the Sobolev space with inverse in the Sobolev space such that the Jacobian of both f and f^{-1} vanish almost everywhere....

BA - Obecná matematika

  • 2014
    • •
  • Jx
    • •
  • Link
Result

BANACH ALGEBRAS OF WEAKLY DIFFERENTIABLE FUNCTIONS

The question is addressed of when a Sobolev type space, built upon a general of the Sobolev space, the strength of the norm, and the (ir)regularity of the domain is provided for the relevant Sobolev space to be a Banach alg...

Pure mathematics

  • 2019
    • •
  • Jimp
    • •
  • Link
Result

Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms

Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms...

BA - Obecná matematika

  • 2000
    • •
  • Jx
Result

Optimal Sobolev Embeddings

We establish general optimality theorems for Sobolev inequalities involving both the (full) gradient and the reduced (trace) gradient. In particular, such results will enable us to construct optimal function spaces in Sobolev embedd...

BA - Obecná matematika

  • 2002
    • •
  • B
Result

Bi-Sobolev homeomorphism with zero minors almost everywhere

We construct a bi-Sobolev homeomorphism having all minors of the prescibed order equal to zero almost everywhere.

BA - Obecná matematika

  • 2015
    • •
  • Jx
    • •
  • Link
Result

Optimal Gaussian Sobolev embeddings

We prove a reduction theorem for a Sobolev type embedding on R^n equipped with the Gaussian measure. With the help of this result we characterize optimal rearrangement-invariant spaces in Gaussian Sobolev embeddings....

BA - Obecná matematika

  • 2009
    • •
  • Jx
Result

Optimal Sobolev Imbeddings

We prove a reduction theorem for the optimal Sobolev imbedding of higher order by methods of interpolation.

BA - Obecná matematika

  • 2006
    • •
  • Jx
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