Research

Intrinsically p-biharmonic maps


Reference:

Hornung, P. and Moser, R., 2013. Forthcoming. Intrinsically p-biharmonic maps. Calculus of Variations and Partial Differential Equations

Related documents:

[img]
Preview
PDF (p-biharmonic.pdf) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (166kB) | Preview

    Official URL:

    http://dx.doi.org/10.1007/s00526-013-0688-3

    Abstract

    For a compact Riemannian manifold $N$, a domain $\Omega \subset \mathbb{R}^m$ and for $p \in (1,\infty)$, we introduce an intrinsic version $E_p$ of the $p$-biharmonic energy functional for maps $u : \Omega \to N$. This requires finding a definition for the intrinsic Hessian of maps u : \Omega \to N$ whose first derivatives are merely $p$-integrable. We prove, by means of the direct method, existence of minimizers of $E_p$ within the corresponding intrinsic Sobolev space, and we derive a monotonicity formula. Finally, we also consider more general functionals defined in terms of polyconvex functions.

    Details

    Item Type Articles
    CreatorsHornung, P.and Moser, R.
    DOI10.1007/s00526-013-0688-3
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher Statementp-biharmonic.pdf: The final publication is available at link.springer.com
    RefereedYes
    StatusIn Press
    ID Code30378

    Export

    Actions (login required)

    View Item

    Document Downloads

    More statistics for this item...