Economic indicator maps for rural development in the interior West /

"January 1996."

Economic indicator maps for rural development in the East /

"January 1996."

Geologic and water-supply reports and maps : Virginia.

Mode of access: Internet.

Geologic and water-supply reports and maps : Puerto Rico-Virgin Islands.

Mode of access: Internet.

Commentary on the Gospel according to Mark, giving the texts of the common version (1611) and revised version (1881) (American readings and renderings) with critical and expository notes and illustrations and maps and engravings,

Map on lining-paper.

Seismic maps foster landmark legislation /

Mode of access: Internet.

Hazard maps help save lives and property /

Mode of access: Internet.

Geologic and water-supply reports and maps : Utah.

Mode of access: Internet.

Time-series Luminance Distribution Maps: implementation of annual daylight simulation methods for occupant visual comfort analysis

Thesis (Master's)--University of Washington, 2016-06

Partial regularity of minimizers of a functional involving forms and maps

We discuss the partial regularity of minimizers of energy functionals such as (1)/(p)integral(Omega)[sigma(u)dA(p) + (1)/(2)delu(2p)]dx, where u is a map from a domain Omega is an element of R-n into the m-dimensional unit sphere of Rm+1 and A is a differential one-form in Omega.

Regularity and relaxed problems of minimizing biharmonic maps into spheres

For n >= 5 and k >= 4, we show that any minimizing biharmonic map from Omega subset of R-n to S-k is smooth off a closed set whose Hausdorff dimension is at most n - 5. When n = 5 and k = 4, for a parameter lambda is an element of [0, 1] we introduce lambda-relaxed energy H-lambda of the Hessian energy for maps in W-2,W-2 (Omega; S-4) so that each minimizer u(lambda) of H-lambda is also a biharmonic map. We also establish the existence and partial regularity of a minimizer of H-lambda for lambda is an element of [0, 1).

Removable singularities for p-harmonic maps: The subquadratic case

We prove a removable singularity theorem for p-harmonic maps in the subquadratic case. The theorem states that an isolated singularity of a weakly p-harmonic map is removable if the energy is sufficiently small in a neighbourhood of the singularity.