A capacity approach to the Poincare inequality and Sobolev imbeddings in variable exponent Sobolev spaces
By Petteri Harjulehto, P. Hasto. 2004
52 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/1f27d2442037743e2bf9bb7ad07d595c67b90d86
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In Applied Mathematics
In Computational Theory and Mathematics
- Qihu Zhang
- Tetsu Shimomura
- T. Ohno
- Y. Mizuta
- Dušan D. Repovš
- Vicentiu D. Rădulescu
- Xianling Fan
- K. Kefi
Citations in the corpus
- Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space Lp(⋅)(logL)q(⋅) (2008, background): “In [14], Harjulehto and Hästö discussed the continuity of Sobolev functions, and in the paper by Hästö [19], he studied the integrability of maximal functions.”
- Sobolev inequalities with variable exponent attaining the values $1$ and $n$ (2008, unknown): “, in [1], [2], [4], [5], [8], [10], [11], [12], [13], [15], [16], [20], [24], [28] in the variable exponent setting.”
- A strong maximum principle for differential equations with nonstandard p(x)-growth conditions (2005, background): “There are already some results about this kind of problems (see [1–13,15–20,22,24,25]).”