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**37**.

## Article

Day, Stuart and Taheri, Ali
(2019)
*Stability and local minimality of spherical harmonic twists u = Q(|x|)x|x| −1 , positivity of second variations and conjugate points on SO(n).*
The Journal of Analysis.
ISSN 0971-3611

Taheri, Ali and Morris, Charles
(2019)
*On the uniqueness and monotonicity of energy minimisers in the homotopy classes of incompressible mappings and related problems.*
Journal of Mathematical Analysis and Applications, 473 (18).
pp. 1-26.
ISSN 0022-247X

Morrison, George and Taheri, Ali
(2019)
*Topology of twists, extremising twist paths and multiple solutions to the nonlinear system in variation L [u] = ∇P.*
Topological Methods in Nonlinear Analysis.
ISSN ISSN 1230-3429
(Accepted)

Bond, Stuart and Taheri, Ali
(2019)
*Operators of Laplace transform type and a new class of hypergeometric coefficients.*
Advances in Operator Theory, 4 (1).
pp. 226-250.
ISSN 2538-225X

Morris, Charles and Taheri, Ali
(2018)
*Whirl mappings on generalised annuli and the incompressible symmetric equilibria of the dirichlet energy.*
Journal of Elasticity, 133 (2).
pp. 201-222.
ISSN 0374-3535

Awonusika, Richard Olu and Taheri, Ali
(2018)
*A spectral identity on Jacobi polynomials and its analytic implications.*
Canadian Mathematical Bulletin, 61.
pp. 473-482.
ISSN 0008-4395

Taheri, Ali and Morrison, George
(2018)
*On a class of stationary loops on SO(n) and the existence of multiple twisting solutions to a nonlinear elliptic system subject to a hard incompressibility constraint.*
Boundary Value Problems, 2018 (130).
pp. 1-24.
ISSN 1687-2762

Day, Stuart and Taheri, Ali
(2018)
*Semigroup asymptotics, Funk-Hecke identity and the Gegenbauer coefficients associated with the spherical Laplacian.*
Rocky Mountain Journal of Mathematics, 48 (3).
pp. 791-817.
ISSN 0035-7596

Day, Stuart and Taheri, Ali
(2018)
*Geodesics on SO(n) and a class of spherically symmetric maps as solutions to a nonlinear generalised harmonic map problem.*
Topological Methods in Nonlinear Analysis, 51 (2).
pp. 637-662.
ISSN 1230-3429

Morrison, George and Taheri, Ali
(2018)
*An infinite scale of incompressible twisting solutions to the nonlinear elliptic system L [u; A, B] = ∇P and the discriminant ∆(h, g).*
Nonlinear Analysis Theory Methods & Applications, 173.
pp. 209-219.
ISSN 0362-546X

Morris, Charles and Taheri, Ali
(2018)
*Annular rearrangements, incompressible axi-symmetric whirls and L1-local minimisers of the distortion energy.*
Nonlinear Differential Equations and Applications, 25 (2).
pp. 1-35.
ISSN 1021-9722

Morris, Charles and Taheri, Ali
(2018)
*On Weyl’s asymptotics and remainder term for the orthogonal and unitary groups.*
Journal of Fourier Analysis and Applications, 24 (1).
pp. 184-209.
ISSN 1069-5869

Day, Stuart and Taheri, Ali
(2017)
*A class of extremising sphere-valued maps with inherent maximal tori symmetries in SO(n).*
Boundary Value Problems, 2017 (187).
ISSN 1687-2770

Day, Stuart and Taheri, Ali
(2017)
*A formulation of the Jacobi coefficients clj(a,b)via Bell polynomials.*
Advances in Operator Theory, 2 (4).
pp. 506-515.
ISSN 2538-225X

Awonusika, Richard Olu and Taheri, Ali
(2017)
*On Jacobi polynomials (P (α,β) k : α, β > −1) and Maclaurin spectral functions on rank one symmetric spaces.*
Journal of Analysis, 25 (1).
pp. 139-166.
ISSN 0971-3611

Awonusika, Richard Olu and Taheri, Ali
(2017)
*On Gegenbauer polynomials and coefficients cℓj(ν) (1≤j≤ℓ, ν>−1/2).*
Results in Mathematics, 72 (3).
pp. 1359-1367.
ISSN 1422-6383

Morris, C and Taheri, A
(2017)
*Twist maps as energy minimisers in homotopy classes: Symmetrisation and the coarea formula.*
Nonlinear Analysis: Theory, Methods and Applications, 152.
pp. 250-275.
ISSN 0362-546X

Shahrokhi-Dehkordi, Mohammad and Taheri, Ali
(2013)
*Generalised twists as elastic energy extremals on annuli, Squaternions and lifting twist loops to the spinor groups.*
Analysis and Applications, 11 (2).
pp. 124-150.
ISSN 0219-5305

Taheri, Ali
(2012)
*Spherical twists, SO(n) and the lifting of their twist paths to Spin(n) in low dimensions.*
Quarterly Journal of Mathematics, 63 (3).
pp. 723-751.
ISSN 0033-5606

Taheri, Ali
(2011)
*Spherical twists, stationary loops and harmonic maps from generalised annuli into spheres.*
Nonlinear Differential Equations and Applications, 19 (1).
pp. 79-95.
ISSN 1021-9722

Taheri, Ali
(2010)
*Homotopy classes of self-maps of annuli, generalised twists and spin degree.*
Archive for Rational Mechanics and Analysis, 197 (1).
pp. 239-270.
ISSN 0003-9527

Shahrokhi-Dehkordi, M S and Taheri, A
(2010)
*Quasiconvexity and uniqueness of stationary points in a space of measure preserving maps.*
Journal of Convex Analysis, 17 (1).
069-079.
ISSN 0944-6532.

Taheri, Ali
(2009)
*Stationary twists and energy minimizers on a space of measure preserving maps.*
Nonlinear Analysis: Theory, Methods and Applications, 71 (11).
pp. 5672-5687.
ISSN 0362-546X

Shahrokhi-Dehkordi, M S and Taheri, A
(2009)
*Polyconvexity, generalised twists and self-maps of annuli in the multi-dimensional calculus of variations.*
Advances in Calculus of Variations, 2 (4).
pp. 361-396.
ISSN 1864-8258

Shahrokhi-Dehkordi, M S and Taheri, A
(2009)
*Generalised twists, SO(n) and the p-energy over a space of measure preserving maps.*
Annales de l'Institut Henri Poincaré (C) Analyse Non Lineaire, 26 (5).
pp. 1897-1924.
ISSN 0294-1449

Shahrokhi-Dehkordi, M S and Taheri, A
(2009)
*Generalised twists, stationary loops and the Dirichlet energy over a space of measure preserving maps.*
Calculus of Variations and Partial Differential Equations, 35 (2).
pp. 191-213.
ISSN 0944-2669

Taheri, Ali
(2009)
*Minimizing the Dirichlet energy over a space of measure preserving maps.*
Topological Methods in Nonlinear Analysis, 33 (1).
pp. 179-204.
ISSN 1230-3429

Taheri, Ali
(2005)
*Local minimizers and quasiconvexity - the impact of topology.*
Archive for Rational Mechanics and Analysis, 176 (3).
pp. 363-414.
ISSN 0003-9527

Kristensen, Jan and Taheri, Ali
(2003)
*Partial regularity of strong local minimizers in the multi-dimensional calculus of variations.*
Archive for Rational Mechanics and Analysis, 170 (1).
pp. 63-89.
ISSN 0003-9527

Taheri, Ali
(2003)
*On Artin's braid groups and polyconvexity in the calculus of variations.*
Journal of the London Mathematical Society, 67 (3).
pp. 752-768.
ISSN 00246107

Taheri, Ali
(2003)
*Quasiconvexity and uniqueness of stationary points in the multi-dimensional calculus of variation.*
Proceedings of the American Mathematical Society, 131 (10).
3101 - 3107.
ISSN 0002-9939

Taheri, Ali
(2002)
*Strong versus weak local minimizers for the perturbed Dirichlet functional.*
Calculus of Variations and Partial Differential Equations, 15 (2).
pp. 215-235.
ISSN 0944-2669

Ball, J M, Taheri, A and Winter, M
(2002)
*Local minimizers in micromagnetics and related problems.*
Calculus of Variations and Partial Differential Equations, 14 (1).
pp. 1-27.
ISSN 0944-2669

Taheri, A
(2002)
*On critical points of functionals with polyconvex integrands.*
Journal of Convex Analysis, 9 (1).
pp. 55-72.
ISSN 0944-6532

Taheri, Ali
(2001)
*Sufficiency theorems for local minimizers of multiple integrals of the calculus of variations.*
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 131 (1).
pp. 155-184.
ISSN 0308-2105

## Book

Taheri, Ali
(2015)
*Function spaces and partial differential equations: volume 1 - classical analysis.*
Oxford lecture series in mathematics and its applications, 1
.
Oxford University Press, Oxford, UK.
ISBN 9780198733133

Taheri, Ali
(2015)
*Function spaces and partial differential equations: volume 2, contemporary analysis.*
Oxford lecture series in mathematics and its applications, 2
.
Oxford University Press, Oxford, UK.
ISBN 9780198733157