PUBLICATIONS: Joseph F. Grotowski


Published papers, papers accepted for publication





[1] Heat Flow for Harmonic Maps,
in Nematics: Mathematical and Physical Aspects,
J.-M. Coron, J.-M. Ghidaglia and F. Hélein, eds. (Kluwer, Dordrecht, 1991) 129-140.
[2] Harmonic map heat flow for axially symmetric data,
Manus. Math. 73 (1991) 207-228.
[3] Concentrated boundary data and axially symmetric harmonic maps,
J. Geom. Analysis 3 (1993) 279-292.
[4] Finite time blow-up for the harmonic map heat flow,
Calculus of Variations and PDE 1 (1993) 231-236.
[5] (with F. Duzaar)
Energy minimizing harmonic maps with an obstacle at the free boundary,
Manus. Math. 83 (1994) 291-314.
[6] The harmonic map heat flow into spheres,
in Progress in partial differential equations: the Metz surveys 3, Pitman Research Notes in Mathematics 314,
M. Chipot, J. Saint Jean Paulin and I. Shafrir, eds. (Longman, Harlow, 1994) 39-51.
[7] (with Y.-T. Shen, S.-S. Yan)
On various classes of harmonic maps,
Arch. Math. 64 (1995) 353-358.
[8] Partial and full regularity for restricted classes of p-harmonic maps,
Nonlinear Analysis: TMA 26 (1996) 429-442.
[9] (with F. Duzaar)
A mixed boundary value problem for energy minimizing harmonic maps,
Math. Z. 221 (1996) 153-167.
[10] (with M. Fuchs, J. Reuling)
On variational models for quasi-static Bingham fluids,
Math. Meth. App. Sci. 19 (1996) 991-1015.
[11] Equivariant harmonic maps and pendulum-type equations,
in Progress in partial differential equations: the Metz surveys 4, Pitman Research Notes in Mathematics 345,
M. Chipot and I. Shafrir, eds. (Longman, Harlow, 1996), 83-91.
[12]Boundary value problems for energy minimizing harmonic maps,
in RIMS Proceedings 951: Variational Problems and Related Topics,
S. Omata, ed. (Kyoto University, 1996), 155-160.
[13] (with F. Duzaar)
Existence and regularity for higher dimensional H-systems,
Duke Math. J. 101 (2000) 459-485.
[14] (with F. Duzaar)
Optimal interior partial regularity for nonlinear elliptic systems: the method of A-harmonic approximation,
Manus. Math. 103 (2000) 267-298.

Online version of the paper is available here.
[15] (with F. Duzaar, A. Gastel)
Partial regularity for almost minimizers of quasiconvex integrals,
SIAM J. Math. Analysis 32 (2000) 665-687.

Online version of the paper is available here.
[16] (with P. P. Schirmer)
On the Gribov copy problem for the Coulomb gauge,
Comm. Math. Phys. 216 (2001) 179-193.

Online version of the paper is available here.
[17]Finite time blow-up for the Yang-Mills heat flow in higher dimensions,
Math. Z. 237 (2001) 221-233.

Online version of the paper is available here.
[18] (with J. Huntley, J. Jorgenson)
Asymptotic behavior of small eigenvalues, short geodesics and period matrices on degenerating hyperbolic Riemann surfaces,
Forum Math. 13 (2001) 729-740.

Online version of the paper is available here.
[19] (with F. Duzaar, A. Gastel)
Optimal partial regularity for nonlinear elliptic systems of higher order,
J. Math. Sci., Tokyo 8 (2001) 463-499.
[20] Boundary regularity for nonlinear elliptic systems,
Calculus of Variations and PDE 15 (2002) 353-388.

Online version of the paper is available here.
[21] Boundary regularity for quasilinear elliptic systems,
Communications in PDE. 27 (2002) 2491-2512.

Online version of the paper is available here.
[22] (with F. Duzaar, K. Steffen)
Optimal regularity results via A-harmonic approximation,
in Geometric analysis and nonlinear partial differential equations,
S. Hildebrandt, H. Karcher eds. (Springer-Verlag, Berlin Heidelberg New York, 2003), 265-296.
[23] (with M. Kronz)
Minimizing conformal energies in homotopy classes,
Forum Math. 16 (2004) 841-864.

Online version of the paper is available here.
[24] (with F. Duzaar, M. Kronz)
Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth,
to appear in: Annali di Matematica pura ed applicata.
[25] (with F. Duzaar, M. Kronz)
Partial and full boundary regularity for minimizers of functionals with nonquadratic growth,
J. convex analysis 11 (2004) 437-476.

Online version of the paper is available here.
[26] (with A. Gastel, M. Kronz)
Removable singularities for p-harmonic maps: the subquadratic case,
to appear in: Advances in Geometry.