Unique continuation property and local asymptotics of solutions to fractional elliptic equations

@inproceedings{Fall2013UniqueCP,
  title={Unique continuation property and local asymptotics of solutions to fractional elliptic equations},
  author={Mouhamed Moustapha Fall and Veronica Felli},
  year={2013}
}
Asymptotics of solutions to fractional elliptic equations with Hardy type potentials is studied in this paper. By using an Almgren type monotonicity formula, separation of variables, and blow-up arguments, we describe the exact behavior near the singularity of solutions to linear and semilinear fractional elliptic equations with a homogeneous singular potential related to the fractional Hardy inequality. As a consequence we obtain unique continuation properties for fractional elliptic equations… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 38 CITATIONS

Unique Continuation for Fractional Orders of Elliptic Equations

  • 2016
VIEW 5 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

References

Publications referenced by this paper.

Similar Papers