Publication Cover
Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 4
158
Views
7
CrossRef citations to date
0
Altmetric
Articles

Symmetry of minimizers of some fractional problems

Pages 694-700 | Received 18 Jan 2014, Accepted 21 Feb 2014, Published online: 07 Jul 2014

References

  • Anastassiou G. Advances on fractional inequalities. New York, NY: Springer; 2011.
  • Chen W, Sun SC. Numerical solutions of fractional derivatives equations in mechanics: advances and problems. In: The 22nd International Congress of Theoretical and Applied Mechanics; 2008 August 25–29; Australia.
  • Hajaiej H, Molinet L, Ozawa T, Wang B. Necessary and sufficient conditions for the fractional Gagliardo-Nirenberg inequalities and applications to Navier-Stokes and generalized Boson equations. Forthcoming.
  • Chaurasia VBL, Pendy SC. Computable extensions of generalized fractional kinetic equations in astrophysics. Res. Astron. Astrophys. 2010.
  • Langlands TAM, Henry BI. Fractional chemotaxis diffusion equations. Nonlinear Soft Matter Phys.Phys. Rev. E- Stat. 2010.
  • Mellet A, Mischler S, Mouhot C. Fractional diffusion limit for collisional kinetic equations. Archiv. Rat. Mech. Anal. 2008.
  • Nigmatullin R. The ‘Fractional’ kinetic equations and general theory of dielectric relaxation. In: 5th International Conference on Multibody Systems, Nonlinear Dynamics and Control, Parts A, B, C. Vol. 6;2005; Long Beach, CA.
  • Saxena RK, Mathai AM, Haubold HJ. Solutions of certain fractional kinetic equations and a fractional diffusion equation. J. Math. phys. 2007.
  • Saxena RK, Mathai AM, Haubold HJ. On generalized fractional kinetic equations. Phys. A Stat. Mech. Appl. 2004.
  • Frank R, Lenzmann E. Uniqueness and non-degeneracy of ground states for (–Δ)s Q + Q – Qα+1 = 0 in R. Acta Math. Forthcoming.
  • Cho Y, Hwang G, Hajaiej H, Ozawa T. On the Cauchy problem of fractional Schrodinger equation with hartree type nonlinearity. Forthcoming. (with Y. Cho and T. Ozawa).
  • Burchard A, Hajaiej H. Rearrangement inequalities for functional with monotone integrands. J. Funct. Anal. 2006;233:561–582.
  • Almgren FJ, Lieb EH. Symmetric decreasing is sometimes continuous. J. Amer. Math. Soc. 1989;2:683–773.
  • Hajaiej H. On the optimality of the conditions used to prove the symmetry of the minimizers of some fractional constrained variational problems. Annales de lInstitut Henri Poincare. 2013;14:1425–1433.
  • Hajaiej H, Yu X, Zhai Z. Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms. J. Math. Anal. Appl. 2012;396:569–577.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.