# Fractional Laplacian

(Difference between revisions)
Jump to: navigation, search

## References

1.
2. Stinga, P. R.; Torrea, J. L. (2010), "Extension problem and Harnack's inequality for some fractional operators", Comm. Partial Differential Equations 35 (11): 2092-2122
3. 3.0 3.1 Riesz, M. (1938), "Intégrales de Riemann-Liouville et potentiels", Acta Sci. Math. Szeged 9 (1): 1–42, ISSN 0001-6969
4. Landkof, N. S. (1972), Foundations of modern potential theory, Berlin, New York: Springer-Verlag
5. Blumenthal, R. M.; Getoor, R. K.; Ray, D. B. (1961), "On the distribution of first hits for the symmetric stable processes", Trans. Amer. Math. Soc. 99: 540–554, ISSN 0002-9947
6.
7. Stein, E. (1970), Singular Integrals And Differentiability Properties Of Functions, Princeton Mathematical Series
8.
9. Ros-Oton, X.; Serra, J. (2012), "The Dirichlet problem for the fractional Laplacian: regularity up to the boundary", J. Math. Pures Appl. 101: 275-302
10. Ros-Oton, X.; Serra, J. (2014), "Boundary regularity for fully nonlinear integro-differential equations", preprint arXiv
11. Ros-Oton, X.; Serra, J. (2013), "The extremal solution for the fractional Laplacian", Calc. Var. Partial Differential Equations: to appear