Roger Moser's Publications

• With N. Katzourakis: Existence, uniqueness and characterisation of local minimisers in higher order Calculus of Variations in L^∞, preprint, 2024, arXiv:2403.12625 [math.AP].
• With N. Katzourakis: Minimisers of supremal functionals and mass-minimising 1-currents, preprint, 2024, arXiv:2403.06727 [math.AP].
• With N. Katzourakis: Variational problems in L^∞ involving semilinear second order differential operators, ESAIM: Control, Optimisation and Calculus of Variations 29 (2023), 76.
• With E. Gallagher: Weighted ∞-Willmore spheres, preprint, 2022. arXiv:2211.07468 [math.DG].
• With E. Gallagher: The ∞-elastica problem on a Riemannian manifold, Journal of Geometric Analysis 33 (2023), 226.
• Regularity of gradient vector fields giving rise to finite Caccioppoli partitions, Calculus of Variations and Partial Differential Equations 61 (2022), 183.
• The streamlines of ∞-harmonic functions obey the inverse mean curvature flow, Communications in Partial Differential Equations 47 (2022), 2124–2145.
• With J. Roberts: Partial regularity for harmonic maps into spheres at a singular or degenerate free boundary, Journal of Geometric Analysis 32 (2022), 58.
• With R. Ignat: Separation of domain walls With nonlocal interaction and their renormalised energy by Γ-convergence in thin ferromagnetic films, Journal of Differential Equations 339 (2022), 395–475.
• Structure and classification results for the ∞-elastica problem, American Journal of Mathematics 144 (2022), 1299–1329.
• With R. Ignat: Energy minimisers of prescribed winding number in an S¹-valued nonlocal Allen-Cahn type model, Advances in Mathematics 357 (2019), 106819.
• With N. Katzourakis: Existence, uniqueness and structure of second order absolute minimisers, Archive for Rational Mechanics and Analysis 231 (2019), 1615–1634.
• Structure and rigidity of functions in BV2
  loc(ℝ²) With gradients taking only 3 values, Proceedings of the London Mathematical Society 116 (2018), 813–846.
• With R. Ignat: Néel walls With prescribed winding number and how a nonlocal term can change the energy landscape, Journal of Differential Equations 263 (2017), 5846–5901.
• With P. Hornung: Existence of equivariant biharmonic maps, International Mathematics Research Notices 2016, 2397–2422.
• With R. Ignat: Interaction energy of domain walls in a nonlocal Ginzburg-Landau type model from micromagnetics, Archive for Rational Mechanics and Analysis 221 (2016), 419–485.
• An L^p regularity theory for harmonic maps, Transactions of the American Mathematical Society 367 (2015), 1–30.
• Geroch monotonicity and the construction of weak solutions of the inverse mean curvature flow, Asian Journal of Mathematics 19 (2015), 357–376.
• Singular perturbation problems involving curvature, Differential Geometry and Continuum Mechanics, 49–75, Springer Proceedings in Mathematics & Statistics, 137, Springer, Cham, 2015.
• With P. Hornung: Intrinsically p-biharmonic maps Calculus of Variations and Partial Differential Equations 51 (2014), 597–620.
• With P. Hornung: A reformulation of the biharmonic map equation, Journal of Geometric Analysis 24 (2014), 1201–1210.
• With M. Kurzke, C. Melcher, and D. Spirn: Vortex dynamics in the presence of excess energy for the Landau-Lifshitz-Gilbert equation, Calculus of Variations and Partial Differential Equations 49 (2014), 1019–1043.
• A construction of biharmonic maps into homogeneous spaces, Communications in Analysis & Geometry 22 (2014), 451–468.
• A geometric Ginzburg-Landau problem, Mathematische Zeitschrift 273 (2013), 771–792. Erratum in: Mathematische Zeitschrift 276 (2014), 611–612.
• With M. Kurzke and C. Melcher: Vortex motion for the Landau-Lifshitz-Gilbert equation With applied magnetic field, Singular Phenomena and Scaling in Mathematical Models, 113–131, Springer, Heidelberg, 2013.
• Towards a variational theory of phase transitions involving curvature, Proceedings of the Royal Society of Edinburgh Section A – Mathematics 142 (2012), 839–865.
• With R. Ignat: A zigzag pattern in micromagnetics, Journal de Mathématiques Pures et Appliquées 98 (2012), 138–159.
• With P. Hornung: Energy identity for intrinsically biharmonic maps in four dimensions, Analysis & PDE 5 (2012), 61–80.
• With P. Hornung: Intrinsically biharmonic maps into homogeneous spaces Advances in Calculus of Variations 5 (2012), 411–425.
• With H. Schwetlick: Minimizers of a weighted maximum of the Gauss curvature, Annals of Global Analysis and Geometry 41 (2012), 199–207.
• With M. Kurzke, C. Melcher, and D. Spirn: Ginzburg–Landau vortices driven by the Landau–Lifshitz–Gilbert equation, Archive for Rational Mechanics and Analysis 199 (2011), 843–888.
• Intrinsic semiharmonic maps, Journal of Geometric Analysis 21 (2011), 588–598.
• With M. Kurzke and C. Melcher: Vortex motion for the Landau-Lifshitz-Gilbert equation With spin transfer torque SIAM Journal on Mathematical Analysis (SIMA) 43 (2011), 1099–1121.
• Regularity of minimizing extrinsic polyharmonic maps in the critical dimension, Manuscripta Mathematica 131 (2010), 475–485.
• A Trudinger type inequality for maps into a Riemannian manifold Annals of Global Analysis and Geometry 35 (2009), 83–90.
• Weak solutions of a biharmonic map heat flow, Advances in Calculus of Variations 2 (2009), 73–92.
• With M. Kurzke, C. Melcher, and D. Spirn: Dynamics for Ginzburg-Landau vortices under a mixed flow, Indiana University Mathematics Journal 58 (2009), 2597–2621.
• Ginzburg-Landau Vortex Lines and the Elastica Functional, Communications in Contemporary Mathematics 11 (2009), 71–107.
• On the energy of domain walls in ferromagnetism, Interfaces and Free Boundaries 11 (2009) 399–419.
• A second-order variational problem With a lack of coercivity, Proceedings of the London Mathematical Society 96 (2008), 199–226.
• A variational problem pertaining to biharmonic maps Communications in Partial Differential Equations 33 (2008), 1654–1689.
• Analysis and Stochastics of Growth Processes and Interface Models, edited by P. Mörters, R. Moser, M. Penrose, H. Schwetlick, and J. Zimmer, Oxford University Press, Oxford, 2008.
• Energy concentration for the Landau–Lifshitz equation, Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, 25 (2008), 987–1013.
• The inverse mean curvature flow as an obstacle problem, Indiana University Mathematics Journal 57 (2008), 2235–2256.
• On a variational problem With non-differentiable constraints, Calculus of Variations and Partial Differential Equations, 29 (2007), 119–140.
• The inverse mean curvature flow and p-harmonic functions, Journal of the European Mathematical Society 9 (2007), 77–83.
• With M. Kurzke, and C. Melcher: Domain walls and vortices in thin ferromagnetic films, Analysis, modeling and simulation of multiscale problems, 249–298, Springer, Berlin, 2006.
• Remarks on the regularity of biharmonic maps in four dimensions, Communications on Pure and Applied Mathematics 59 (2006), 317–329.
• A higher order asymptotic problem related to phase transitions, SIAM Journal on Mathematical Analysis (SIMA) 37 (2005), 712–736.
• Energy concentration for almost harmonic maps and the Willmore functional, Mathematische Zeitschrift 251 (2005), 293–311.
• Moving boundary vortices for a thin-film limit in micromagnetics, Communications on Pure and Applied Mathematics 58 (2005), 701–721.
• Partial regularity for harmonic maps and related problems, World Scientific, 2005.
• The blowup behavior of the biharmonic map heat flow in four dimensions, International Mathematics Research Papers (IMRP) 2005, 351–402.
• Boundary vortices for thin ferromagnetic films, Archive for Rational Mechanics and Analysis 174 (2004), 267–300.
• An ε-regularity result for generalized harmonic maps into spheres, Electronic Journal of Differential Equations 2003 1–7.
• Energy concentration for thin films in micromagnetics, Mathematical Models & Methods in Applied Sciences 13 (2003), 767–784
• Ginzburg-Landau vortices for thin ferromagnetic films, Applied Mathematics Research Express (AMRE) 2003, 1–32.
• Regularity for the approximated harmonic map equation and application to the heat flow for harmonic maps, Mathematische Zeitschrift 243 (2003), 263–289.
• Stationary measures and rectifiability, Calculus of Variations and Partial Differential Equations 17 (2003), 357–368.
• Unique solvability of the Dirichlet problem for weakly harmonic maps, Manuscripta Mathematica 105 (2001), 379–399.