Skip to main content
Log in

Symmetry for degenerate parabolic equations

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Bibliography

  1. N. D. Alikakos &R. Rostamian, Gradient estimates for degenerate diffusion equations, II. Proc. Royal Soc. EdinburghA 91 (1982), 335–346.

    Google Scholar 

  2. H. Brezis, Opérateurs Maximaux Monotones et Semigroupes de Contractions dans les Espaces de Hilbert, North Holland, Amsterdam, 1973.

    Google Scholar 

  3. E. Di Benedetto &A. Friedman, Regularity of solutions of nonlinear degenerate parabolic systems, J. reine angew. Math.349, 82–128 (1984).

    Google Scholar 

  4. E. Di Benedetto &A. Friedman, Hölder estimates for nonlinear degenerate parabolic systems. J. reine angew. Math.357, 1–22 (1985).

    Google Scholar 

  5. E. Di Benedetto &A. Friedman, Addendum to “Hölder estimates for nonlinear degenerate parapolic systems”, J. reine angew. Math.363, 215–220 (1985).

    Google Scholar 

  6. N. Garofalo & J. L. Lewis, A symmetry result related to some overdetermined boundary value problems, to appear in American J. of Math.

  7. B. Gidas, W. M. Ni &L. Nirenberg, Symmetry and related properties via the maximum principle, Commun. Math. Phys.68, 209–243 (1979).

    Google Scholar 

  8. O. A. Ladyzenskaja, V. A. Solonnikov &N. N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type, Nauka, Moscow, 1967. English transl., American Mathematical Society, Providence, 1968.

    Google Scholar 

  9. J. Serrin, A symmetry problem in potential theory, Arch. Rational Mech. Anal.43, 304–318 (1971).

    Google Scholar 

  10. H. Weinberger, Remark on the preceding paper by Serrin. Arch. Rational Mech. Anal.43, 319–320 (1971).

    Google Scholar 

  11. L. Zalcman, Some inverse problems of potential theory, in: Integral Geometry,R. M. Bryant etc. ed., 337–350, American Mathematical Society, Provicence, 1987.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated byJ. Serrin

Rights and permissions

Reprints and permissions

About this article

Cite this article

Alessandrini, G., Garofalo, N. Symmetry for degenerate parabolic equations. Arch. Rational Mech. Anal. 108, 161–174 (1989). https://doi.org/10.1007/BF01053461

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01053461

Keywords

Navigation