Skip to main content
Log in

On phase transitions with bulk, interfacial, and boundary Energy

  • 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.

References

  • [1954] De Giorgi, E., Su una teoria generale delia misura (r — 1)-dimensionale in uno spazio a r dimensioni. Ann. Mat. Pura Appl. (4) 36, 191–213.

    Google Scholar 

  • [1955] De Giorgi, E., Nuovi teoremi relativi alle misure (r — 1)-dimensionali in uno spazio a r dimensioni. Richerche Mat. 4, 95–113.

    Google Scholar 

  • [1969] Federer, H., Geometric Measure Theory. Springer-Verlag. Berlin Heidelberg New York.

    Google Scholar 

  • [1973] Heady, R. B., & J. W. Cahn, Experimental test of classical nucleation theory in a liquid-liquid miscibility gap system. J. Chem. Phys. 58, 896–910.

    Google Scholar 

  • [1973] Miranda, M., Existence and regularity of hypersurfaces of sun with prescribed mean curvature. Proc. Symp. Pure Math. 23.

  • [1974] Massari, U., Esistenza e regolarità delie ipersuperfici di curvature media assegnata in ℝn. Arch. Rational Mech. Anal. 55, 357–382.

    Google Scholar 

  • [1974a] Massari, U., & L. Pepe, Sull'approssimazione degli aperti lipschitziani di ℝn con varietà differenziabili. Boll. Unione Mat. Ital. 10, 532–544.

    Google Scholar 

  • [1974b] Massari, U., & L. Pepe, Su di una impostazione parametrica del problema dei capillari. Ann. Univ. Ferrara 20, 21–31.

    Google Scholar 

  • [1976] Almgren, F., Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints. Mem. Amer. Math. Soc. No. 165.

  • [1977] Cahn, J. W., Critical point wetting. J. Chem. Phys. 66, 3667–3672.

    Google Scholar 

  • [1981] Giusti, E., The equilibrium configuration of liquid drops. J. reine angew. Math. 321, 53–63.

    Google Scholar 

  • [1983] Gonzalez, E., U. Massari, & I. Tamanini, On the regularity of boundaries of sets minimizing perimeter with a volume constraint. Indiana U. Math. J. 32, 25–37.

    Google Scholar 

  • [1984] Giusti, E., Minimal Surfaces and Functions of Bounded Variation. Birkhäuser-Verlag: Basel.

    Google Scholar 

  • [1984] Massari, U., & M. Miranda, Minimal Surfaces of Codimension One. North Holland; Amsterdam.

    Google Scholar 

  • [1985] Gurtin, M. E., On a theory of phase transitions with interfacial energy. Arch. Rational Mech. Anal. 87, 187–212.

    Google Scholar 

  • [1986] Modica, L., Gradient theory of phase transitions with boundary contact energy. Forthcoming.

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper is dedicated to James Serrin

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gurtin, M.E. On phase transitions with bulk, interfacial, and boundary Energy. Arch. Rational Mech. Anal. 96, 243–264 (1986). https://doi.org/10.1007/BF00251908

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00251908

Keywords

Navigation