GRADIENT ESTIMATES VIA NON STANDARD POTENTIALS AND CONTINUITY

@inproceedings{Bgelein2010GRADIENTEV,
  title={GRADIENT ESTIMATES VIA NON STANDARD POTENTIALS AND CONTINUITY},
  author={Verena B{\"o}gelein and Jens K. Habermann},
  year={2010}
}
We consider elliptic problems with non standard growth conditions whose most prominent model example is the p(x)-Laplacean equation idiv i jDuj p(x)i2 Du ¢ = "; with a measure data right-hand side ". We prove pointwise gradient estimates in terms of a non standard version of the non-linear Wol potential of the right-hand side measure, and moreover a characterization for C 1 -regularity of the solution, also in terms of the Wol potential. The C 1 - regularity criterion is also related to the… CONTINUE READING

References

Publications referenced by this paper.