Number of items: 50.
Article
Katzourakis, N. and Moser, R.
(2024)
Minimisers of supremal functionals and mass-minimising 1-currents.
Calculus of Variations and Partial Differential Equations.
ISSN 1432-0835
(In Press)
Clark, E. and Katzourakis, N.
(2024)
Generalized second order vectorial ∞-eigenvalue problems.
Proceedings of the Royal Society of Edinburgh A: Mathematics.
ISSN 1473-7124
doi: https://doi.org/10.1017/prm.2024.27
Clark, E. and Katzourakis, N.
(2023)
On isosupremic vectorial minimisation problems in l∞ with general nonlinear constraints.
Advances in Calculus of Variations.
ISSN 1864-8266
doi: https://doi.org/10.1515/acv-2022-0068
Katzourakis, N. and Moser, R.
(2023)
Variational problems in L∞ involving semilinear second order differential operators.
ESAIM Control Optimization & Calculus of Variations, 29.
76.
ISSN 1262-3377
doi: https://doi.org/10.1051/cocv/2023066
Katzourakis, N.
(2022)
Generalised vectorial ∞-eigenvalue non linear problems for L∞ functionals.
Nonlinear Analysis: Theory, Methods & Applications, 219.
112806.
ISSN 0362-546X
doi: https://doi.org/10.1016/j.na.2022.112806
Katzourakis, N.
(2022)
On a vector-valued generalisation of viscosity solutions for general PDE systems.
Zeitschrift für Analysis und ihre Anwendungen, 41 (1/2).
pp. 93-132.
ISSN 1661-4534
doi: https://doi.org/10.4171/ZAA/1699
Clark, E., Katzourakis, N. and Muha, B.
(2021)
Vectorial variational problems in L ∞ constrained by the Navier–Stokes equations.
Nonlinearity, 35 (1).
pp. 470-491.
ISSN 1361-6544
doi: https://doi.org/10.1088/1361-6544/ac372a
Ayanbayev, B. and Katzourakis, N. ORCID: https://orcid.org/0000-0001-5292-270X
(2021)
On the inverse source identification problem in L ∞ for fully nonlinear elliptic PDE.
Vietnam Journal of Mathematics, 49 (3).
pp. 815-829.
ISSN 2305-2228
doi: https://doi.org/10.1007/s10013-021-00515-6
Ayanbayev, B. and Katzourakis, N.
(2021)
Vectorial variational principles in L∞ and their characterisation through PDE systems.
Applied Mathematics & Optimization, 83 (2).
pp. 833-848.
ISSN 1432-0606
doi: https://doi.org/10.1007/s00245-019-09569-y
Katzourakis, N. and Ayanbayev, B.
(2020)
A pointwise characterisation of the PDE system of vectorial calculus of variations in L∞.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 150 (4).
pp. 1653-1669.
ISSN 1364-5021
doi: https://doi.org/10.1017/prm.2018.89
Abugirda, H., Ayanbayev, B. and Katzourakis, N.
(2020)
Rigidity and flatness of the image of certain classes of mappings having tangential laplacian.
Rocky Mountain Journal of Mathematics, 50 (2).
pp. 383-396.
ISSN 0035-7596
doi: https://doi.org/10.1216/rmj.2020.50.383
Katzourakis, N. and Pryer, T.
(2020)
Second order L∞ variational problems and the ∞-polylapacian.
Advances in Calculus of Variations, 13 (2).
pp. 115-140.
ISSN 1864-8266
doi: https://doi.org/10.1515/acv-2016-0052
Katzourakis, N.
(2020)
A minimisation problem in L∞ with PDE and unilateral constraints.
ESAIM Control Optimization & Calculus of Variations, 26.
60.
ISSN 1262-3377
doi: https://doi.org/10.1051/cocv/2019034
Pryer, T. and Katzourakis, N.
(2019)
On the numerical approximation of p-biharmonic and ∞-biharmonic functions.
Numerical Methods for Partial Differential Equations, 35 (1).
pp. 155-180.
ISSN 1098-2426
doi: https://doi.org/10.1002/num.22295
Katzourakis, N. and Moser, R.
(2019)
Existence, uniqueness and structure of second order absolute minimisers.
Archive for Rational Mechanics and Analysis, 231 (3).
pp. 1615-1634.
ISSN 0003-9527
doi: https://doi.org/10.1007/s00205-018-1305-6
Katzourakis, N.
(2019)
Inverse optical tomography through PDE constrained optimisation in L∞.
SIAM Journal on Control and Optimization, 57 (6).
pp. 4205-4233.
ISSN 1095-7138
doi: https://doi.org/10.1137/19M1239908
Katzourakis, N.
(2019)
An L∞ regularisation strategy to the inverse source identification problem for elliptic equations.
SIAM Journal on Mathematical Analysis (SIMA), 51 (2).
pp. 1349-1370.
ISSN 0036-1410
doi: https://doi.org/10.1137/18M1226373
Katzourakis, N.
(2019)
Solutions of vectorial Hamilton-Jacobi equations are rank-one absolute minimisers in L∞.
Advances in Nonlinear Analysis, 8 (1).
pp. 508-516.
ISSN 2191-950X
doi: https://doi.org/10.1515/anona-2016-0164
Katzourakis, N.
(2018)
Weak versus D-solutions to linear hyperbolic first order systems with constant coefficients.
Journal of Hyperbolic Differential Equations, 15 (2).
pp. 329-347.
ISSN 1793-6993
doi: https://doi.org/10.1142/S0219891618500121
Katzourakis, N. and Hussien, A.
(2018)
On the well-posedness of global fully nonlinear first order elliptic systems.
Advances in Nonlinear Analysis, 7 (2).
pp. 139-148.
ISSN 2191-950X
doi: https://doi.org/10.1515/anona-2016-0049
Katzourakis, N. and Shaw, G.
(2018)
Counterexamples in calculus of variations in L∞ through the vectorial Eikonal equation.
Comptes Rendus Mathematique, 356 (5).
pp. 498-502.
ISSN 1631-073X
doi: https://doi.org/10.1016/j.crma.2018.04.010
Katzourakis, N. and Pryer, T.
(2018)
A review from the PDE viewpoint of Hamilton-Jacobi-Bellman equations arising in optimal control with vectorial cost.
Journal of Nonlinear Functional Analysis, 2018.
6.
ISSN 2052-532X
doi: https://doi.org/10.23952/jnfa.2018.6
Croce, G., Katzourakis, N. and Pisante, G.
(2017)
D-solutions to the system of vectorial calculus of variations in l∞ via the singular value problem.
Discrete and Continuous Dynamical Systems: Series B, 37 (12).
pp. 6165-6181.
ISSN 1531-3492
doi: https://doi.org/10.3934/dcds.2017266
Katzourakis, N. and Parini, E.
(2017)
The eigenvalue problem for the ∞-Bilaplacian.
Nonlinear differential equations and applications, 24 (6).
68.
ISSN 1420-9004
doi: https://doi.org/10.1007/s00030-017-0492-4
Katzourakis, N.
(2017)
Generalised solutions for fully nonlinear PDE systems and existence-uniqueness theorems.
Journal of Differential Equations, 263 (1).
pp. 641-686.
ISSN 0022-0396
doi: https://doi.org/10.1016/j.jde.2017.02.048
Abugirda, H. and Katzourakis, N.
(2017)
Existence of 1D vectorial absolute minimisers in L infinity under minimal assumptions.
Proceedings of the American Mathematical Society, 145 (6).
pp. 2567-2575.
ISSN 0002-9939
doi: https://doi.org/10.1090/proc/13421
Katzourakis, N.
(2017)
A remark on global W1,p bounds of harmonic functions with Lipschitz boundary values.
Glasnik Matematicki, 52 (1).
pp. 107-113.
ISSN 1846-7989
doi: https://doi.org/10.3336/gm.52.1.08
Katzourakis, N.
(2017)
Absolutely minimising generalised solutions to the equations of vectorial calculus of variations in L∞.
Calculus of Variations and Partial Differential Equations, 56.
15.
ISSN 1432-0835
doi: https://doi.org/10.1007/s00526-016-1099-z
Katzourakis, N.
(2017)
A new characterisation ∞-harmonic AND p-harmonic map↲
s via affine variations in L∞.
Electronic Journal of Differential Equations, 2017.
pp. 1-19.
ISSN 1072-6691
Katzourakis, N. and Pryer, T.
(2016)
On the numerical approximation of ∞-harmonic mappings.
Nonlinear differential equations and applications, 23 (6).
61.
ISSN 1420-9004
doi: https://doi.org/10.1007/s00030-016-0415-9
Katzourakis, N.
(2016)
On linear degenerate elliptic PDE systems with constant coefficients.
Advances in Calculus of Variations, 9 (3).
pp. 283-291.
ISSN 1864-8266
doi: https://doi.org/10.1515/acv-2015-0004
Katzourakis, N.
(2016)
Existence and uniqueness of global solutions to fully nonlinear second order elliptic systems.
Nonlinear differential equations and applications, 23 (3).
33.
ISSN 1420-9004
doi: https://doi.org/10.1007/s00030-016-0381-2
Katzourakis, N.
(2016)
On the loss of compactness in the vectorial heteroclinic connection problem.
Proceedings of the Royal Society of Edinburgh A, 146 (3).
pp. 595-608.
ISSN 1473-7124
doi: https://doi.org/10.1017/S0308210515000700
Katzourakis, N. and Manfredi, J.
(2016)
Remarks on the validity on the maximum principle for the ∞-Laplacian.
Le Matematiche, 71.
pp. 63-74.
ISSN 2037-5298
doi: https://doi.org/10.4418/2016.71.1.5
Katzourakis, N.
(2016)
On the Dirichlet problem for fully nonlinear elliptic hessian systems.
Annali della Scuola Normale Superiore di Pisa, 16 (3).
pp. 707-727.
ISSN 2036-2145
doi: https://doi.org/10.2422/2036-2145.201411_003
Katzourakis, N.
(2015)
Nonsmooth convex functionals and feeble viscosity solutions of singular Euler-Lagrange equations.
Calculus of Variations and Partial Differential Equations, 54 (1).
pp. 275-298.
ISSN 1432-0835
doi: https://doi.org/10.1007/s00526-014-0786-x
Katzourakis, N.
(2015)
Optimal infinity-quasiconformal immersions.
ESAIM Control Optimization & Calculus of Variations, 21 (2).
pp. 561-582.
ISSN 1262-3377
doi: https://doi.org/10.1051/cocv/2014038
Katzourakis, N.
(2015)
Existence and uniqueness of global solutions to fully nonlinear first order elliptic systems.
Nonlinear Analysis: Theory Methods & Applications, 115.
pp. 50-61.
ISSN 0362-546X
doi: https://doi.org/10.1016/j.na.2014.12.002
Katzourakis, N.
(2015)
Nonuniqueness in vector-valued calculus of variations in l-infinity and some linear elliptic systems.
Communications on Pure and Applied Analysis, 14 (1).
pp. 313-327.
ISSN 1553-5258
doi: https://doi.org/10.3934/cpaa.2015.14.313
Katzourakis, N.
(2014)
On the structure of infinity-harmonic maps.
Communications in Partial Differential Equations, 39 (11).
pp. 2091-2124.
ISSN 0360-5302
doi: https://doi.org/10.1080/03605302.2014.920351
Katzourakis, N.
(2013)
Explicit 2D Infinity-Harmonic maps whose interfaces have junctions and corners.
Comptes Rendus Mathematique, 351 (17-18).
pp. 677-680.
ISSN 1631-073X
Katzourakis, N. I.
(2013)
Maximum principles for vectorial approximate minimisers on non-convex functionals.
Calculus of Variations and Partial Differential Equations, 46 (3-4).
pp. 505-522.
ISSN 1432-0835
doi: https://doi.org/10.1007/s00526-012-0491-6
Katzourakis, N. I.
(2013)
Infinity-minimal submanifolds.
Proceedings of the American Mathematical Society, 142 (8).
pp. 2797-2811.
ISSN 0002-9939
Katzourakis, N. I.
(2013)
The subelliptic Infinity-Laplace system on Carnot-Caratheodory Spaces.
Advances in Nonlinear Analysis, 2 (2).
pp. 213-233.
ISSN 2191-950x
doi: https://doi.org/10.1515/anona-2013-0004
Katzourakis, N. I.
(2012)
L-Infinity variational problems of maps and the Aronsson PDE system.
Journal of Differential Equations, 253 (7).
pp. 2123-2139.
ISSN 0022-0396
doi: https://doi.org/10.1016/j.jde.2012.05.012
Katzourakis, N. I.
(2012)
A Holder continuous nowhere improvable function with derivative singular distribution.
SeMA Journal (Sociecad Espaniola de Matematica Applicada), 59 (1).
pp. 37-51.
ISSN 2254-3902
doi: https://doi.org/10.1007/BF03322609
Katzourakis, N. I.
(2011)
Explicit singular viscosity solutions of the Aronsson equation.
Comptes Rendus Mathematique, 349 (21-22).
pp. 1173-1176.
ISSN 1631-073X
doi: https://doi.org/10.1016/j.crma.2011.10.010
Katzourakis, N. I.
(2011)
Heteroclinic travelling waves of gradient diffusion systems.
Transactions of the American Mathematical Society, 363 (3).
pp. 1365-1397.
ISSN 1088-6850
Book
Katzourakis, N. and Varvaruca, E.
(2017)
An illustrative introduction to modern analysis.
Taylor and Francis - CRC Press, pp558.
ISBN 9781138718272
Katzourakis, N.
(2015)
An introduction to viscosity solutions for fully nonlinear PDE with applications to calculus of variations in l-infinity.
SpringerBriefs in Mathematics.
Springer, Heidelberg.
ISBN 9783319128283
This list was generated on Sat Dec 14 17:27:45 2024 UTC.