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Duzaar, F and Grotowski, JF (1996) A mixed boundary value problem for energy minimizing harmonic maps. Mathematische Zeitschrift, 221 1: 153-167. doi:10.1007/PL00004503 30   3 0
Grotowski, J. F., Huntley, J. and Jorgenson, J. (2001) Asymptotic behavior of, small eigenvalues, short geodesics and period matrices on degenerating hyperbolic Riemann surfaces. Forum Mathematicum, 13 6: 729-740. doi:10.1515/form.2001.031 178   0 0
Grotowski, Joseph (2004) Book Review : Harmonic maps, conservation laws and moving frames / F. Helein. Jahresbericht der Deutschen Mathematiker-Vereinigung, 196: 3-5. 82  
Grotowski, J. F. (2002) Boundary regularity for nonlinear elliptic systems. Calculus of Variations And Partial Differential Equations, 15 3: 353-388. doi:10.1007/s005260100131 65   23 Cited 24 times in Scopus24 0
Grotowski, Joseph F. (2002) Boundary Regularity for quasilinear elliptic systems. Communications In Partial Differential Equations, 27 11-12: 2491-2512. doi:10.1081/PDE-120016165 74   17 Cited 16 times in Scopus16 0
Challis, Vivien J., Guest, James K., Grotowski, Joseph F. and Roberts, Anthony P. (2012) Computationally generated cross-property bounds for stiffness and fluid permeability using topology optimization. International Journal of Solids And Structures, 49 23-24: 3397-3408. doi:10.1016/j.ijsolstr.2012.07.019 87   9 Cited 10 times in Scopus10 0
Grotowski, JF (1993) Concentrated Boundary Data and Axially-Symmetrical Harmonic Maps. Journal of Geometric Analysis, 3 3: 279-292. 25   6
Roberts, A. P., Grayson, G., Challis, V. J., Zhang, L. C., Grotowski, J. F., Schaffer, G. B. and Sercombe, T. B. (2011) Elastic moduli of sintered powders with application to components fabricated using selective laser melting. Acta Materialia, 59 13: 5257-5265. doi:10.1016/j.actamat.2011.05.002 170   5 Cited 9 times in Scopus9 0
Duzaar, F and Grotowski, JF (1994) Energy Minimizing Harmonic Maps with An Obstacle At the Free-Boundary. Manuscripta Mathematica, 83 3-4: 291-314. doi:10.1007/BF02567615 16   3 Cited 3 times in Scopus3 0
Duzaar, F and Grotowski, JF (2000) Existence and regularity for higher-dimensional H-systems. Duke Mathematical Journal, 101 3: 459-485. doi:10.1215/S0012-7094-00-10133-0 22   12 0
Grotowski, JF (1993) Finite-Time Blow-Up for the Harmonic Map Heat-Flow. Calculus of Variations and Partial Differential Equations, 1 2: 231-236. doi:10.1007/BF01191618 19   6 Cited 7 times in Scopus7 0
Grotowski, J. F. (2001) Finite time blow-up for the Yang-Mills heat flow in higher dimensions. Mathematische Zeitschrift, 237 2: 321-333. doi:10.1007/PL00004871 38   3 0
Grotowski, J. F. and Shatah, J. (2007) Geometric evolution equations in critical dimensions. Calculus of Variations and Partial Differential Equations, 30 4: 499-512. doi:10.1007/s00526-007-0100-2 74 4 7 Cited 6 times in Scopus6 0
Grotowski, JF (1991) Harmonic Map Heat-Flow for Axially Symmetrical Data. Manuscripta Mathematica, 73 2: 207-228. doi:10.1007/BF02567639 17   10 Cited 8 times in Scopus8 0
Grotowski, JF (1991). Heat-Flow for Harmonic Maps. In: Nematics. Nato Advanced Research Workshop On Defects, Singularities and Patterns in Nematic Liquid Crystals : Mathematical and Physical Aspects, Orsay France, (129-140). May 28-Jun 01, 1990. 21   1
Grotowski, Joseph F. (2006) Heat kernels in geometric evolution equations. Contemporary Mathematics, 398 193-201. 74   1
Challis, Vivien J., Roberts, Anthony P. and Grotowski, Joseph F. (2014) High resolution topology optimization using graphics processing units (GPUs). Structural and Multidisciplinary Optimization, 49 2: 315-325. doi:10.1007/s00158-013-0980-z 71   1 Cited 1 times in Scopus1 0
Challis, Vivien J., Xu, Xiaoxue, Zhang, Lai Chang, Roberts, Anthony P., Grotowski, Joseph F. and Sercombe, Timothy B. (2014) High specific strength and stiffness structures produced using selective laser melting. Materials & Design, 63 783-788. doi:10.1016/j.matdes.2014.05.064 29   2 Cited 3 times in Scopus3 0
Botev, Z. I., Grotowski, J. F. and Kroese, D. P. (2010) Kernel density estimation via diffusion. Annals of Statistics, 38 5: 2916-2957. doi:10.1214/10-AOS799 101   219 Cited 269 times in Scopus269 3
Grotowski, Joseph F. and Kronz, Manfred (2004) Minimizing conformal energies in homotopy classes. Forum Mathematicum, 16 6: 841-864. doi:10.1515/form.2004.16.6.841 59 10 1 Cited 1 times in Scopus1 0
Chabrowski, Jan H. and Grotowski, Joseph F. (2011) On radial solutions of the Schrodinger type equation. Advanced Nonlinear Studies, 11 2: 295-310. 173 1 0 Cited 0 times in Scopus0
Grotowski, J. F. and Schirmer, P. P. (2001) On the Gribov copy problem for the Coulomb gauge. Communications In Mathematical Physics, 216 1: 179-193. doi:10.1007/s002200000337 53   3 Cited 2 times in Scopus2 0
Fuchs, M, Grotowski, JF and Reuling, J (1996) On variational models for quasi-static Bingham fluids. Mathematical Methods in the Applied Sciences, 19 12: 991-1015. doi:10.1002/(SICI)1099-1476(199608)19:12<991::AID-MMA810>3.0.CO;2-R 20   11 0
Grotowski, JF, Shen, Y and Yan, S (1995) On Various Classes of Harmonic Maps. Archiv der Mathematik, 64 4: 353-358. doi:10.1007/BF01198092 15   3 Cited 2 times in Scopus2 0
Duzaar, F and Grotowski, JF (2000) Optimal interior partial regularity for nonlinear elliptic systems: the method of A-harmonic approximation. Manuscripta Mathematica, 103 3: 267-298. doi:10.1007/s002290070007 25   75 0
Duzaar, F., Gastel, A. and Grotowski, J. F. (2001) Optimal partial regularity for nonlinear elliptic systems of higher order. Journal of Mathematical Sciences, 8 463-499. 29  
Duzaar, F., Grotowski, J. and Steffen, K. (2003). Optimal regularity results via A-harmonic approximation. In S. Hildebrandt and H. Karcher (Ed.), Geometric analysis and nonlinear partial differential equations (pp. 265-296) Berlin: Springer Verlag. 58  
Duzaar, Frank, Grotowski, Joseph F. and Kronz, Manfred (2004) Partial and full boundary regularity for minimizers of functionals with nonquadratic growth. Journal of Convex Analysis, 11 2: 437-476. 72 6 12 Cited 15 times in Scopus15
Grotowski, JF (1996) Partial and full regularity for restricted classes of p-harmonic maps. Nonlinear Analysis-Theory Methods & Applications, 26 3: 429-442. doi:10.1016/0362-546X(94)00288-S 21   0 0
Duzaar, F, Gastel, A and Grotowski, JF (2000) Partial regularity for almost minimizers of quasi-convex integrals. Siam Journal On Mathematical Analysis, 32 3: 665-687. doi:10.1137/S0036141099374536 20   28 0
Challis, VJ, Roberts, AP, Grotowski, JF, Zhang, LC and Sercombe, TB (2010) Prototypes for bone implant scaffolds designed via topology optimization and manufactured by solid freeform fabrication. Advanced Engineering Materials, 12 11: 1106-1110. doi:10.1002/adem.201000154 75   21 Cited 23 times in Scopus23 0
Duzaar, Frank, Grotowski, Joseph F. and Kronz, Manfred (2005) Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth. Annali Di Matematica Pura Ed Applicata, 184 4: 421-448. doi:10.1007/s10231-004-0117-5 73 10 30 Cited 34 times in Scopus34 0
Gastel, Andreas, Grotowski, Joseph F. and Kronz, Manfred (2005) Removable singularities for p-harmonic maps: The subquadratic case. Advances in Geometry, 5 3: 469-483. doi:10.1515/advg.2005.5.3.469 52   1 Cited 1 times in Scopus1 0
Muhlhaus, Hans B., Moresi, L., Gross, Lutz and Grotowski, Joseph (2010). The influence of non-coaxiality on shear banding in viscous-plastic materials. In: Dirk Kadau, Hans J. Herrmann, Sarah M. Springman and Alexander Puzrin, Granular Matter. Scientific Conference on From Shear Bands to Rapid Flow, Monte Verita, Switzerland, (1-10). 22-27 Februray, 2009. doi:10.1007/s10035-010-0176-9 127 1 6 Cited 6 times in Scopus6 0