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, Calculus of Variations and Partial Differential Equations 64 (2025), 26.
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, Nonlinear Differential Equations and Applications NoDEA 31 (2024), 55.
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.