Storn, Johannes Solving minimal residual methods in \(W^{-1,p'}\) with large exponents \(p\). (English) Zbl 07823286 J. Sci. Comput. 99, No. 2, Paper No. 35, 18 p. (2024). MSC: 65N22 65N30 65N12 65N15 65N20 49M29 49M20 35B65 35A01 35A02 35R25 47J25 PDFBibTeX XMLCite \textit{J. Storn}, J. Sci. Comput. 99, No. 2, Paper No. 35, 18 p. (2024; Zbl 07823286) Full Text: DOI arXiv OA License
Katzourakis, Nikos; Moser, Roger Variational problems in \(L^\infty\) involving semilinear second order differential operators. (English) Zbl 07798867 ESAIM, Control Optim. Calc. Var. 29, Paper No. 76, 21 p. (2023). MSC: 49K20 35A15 35J35 PDFBibTeX XMLCite \textit{N. Katzourakis} and \textit{R. Moser}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 76, 21 p. (2023; Zbl 07798867) Full Text: DOI arXiv
Akhtari, Bahar; Biagini, Francesca; Mazzon, Andrea; Oberpriller, Katharina Generalized Feynman-Kac formula under volatility uncertainty. (English) Zbl 07796463 Stochastic Processes Appl. 166, Article ID 104083, 40 p. (2023). MSC: 35R60 35D40 35K55 60G65 60H30 PDFBibTeX XMLCite \textit{B. Akhtari} et al., Stochastic Processes Appl. 166, Article ID 104083, 40 p. (2023; Zbl 07796463) Full Text: DOI arXiv
Bungert, Leon The convergence rate of \(p\)-harmonic to infinity-harmonic functions. (English) Zbl 07793275 Commun. Partial Differ. Equations 48, No. 10-12, 1323-1339 (2023). MSC: 35J92 35B51 PDFBibTeX XMLCite \textit{L. Bungert}, Commun. Partial Differ. Equations 48, No. 10--12, 1323--1339 (2023; Zbl 07793275) Full Text: DOI arXiv
Gargiulo, Giuliano; Zappale, Elvira A sufficient condition for the lower semicontinuity of nonlocal supremal functionals in the vectorial case. (English) Zbl 1520.49005 Eur. J. Math. 9, No. 3, Paper No. 75, 8 p. (2023). MSC: 49J45 26B25 PDFBibTeX XMLCite \textit{G. Gargiulo} and \textit{E. Zappale}, Eur. J. Math. 9, No. 3, Paper No. 75, 8 p. (2023; Zbl 1520.49005) Full Text: DOI arXiv
Almeida, Rui M. P.; Duque, José C. M.; Ferreira, Jorge; Panni, Willian S. Mixed finite element method for a beam equation with the \(p(x)\)-biharmonic operator. (English) Zbl 07692016 Comput. Math. Appl. 139, 57-67 (2023). MSC: 35J40 35J35 35J60 35P30 35G30 PDFBibTeX XMLCite \textit{R. M. P. Almeida} et al., Comput. Math. Appl. 139, 57--67 (2023; Zbl 07692016) Full Text: DOI arXiv
Gallagher, Ed; Moser, Roger The \(\infty\)-elastica problem on a Riemannian manifold. (English) Zbl 1520.49022 J. Geom. Anal. 33, No. 7, Paper No. 226, 26 p. (2023). Reviewer: Georgios Psaradakis (Kastoria) MSC: 49Q20 53A04 58E10 PDFBibTeX XMLCite \textit{E. Gallagher} and \textit{R. Moser}, J. Geom. Anal. 33, No. 7, Paper No. 226, 26 p. (2023; Zbl 1520.49022) Full Text: DOI arXiv
Gallistl, Dietmar; Tran, Ngoc Tien Convergence of a regularized finite element discretization of the two-dimensional Monge-Ampère equation. (English) Zbl 1512.35348 Math. Comput. 92, No. 342, 1467-1490 (2023). MSC: 35J96 65N12 65N30 65Y20 PDFBibTeX XMLCite \textit{D. Gallistl} and \textit{N. T. Tran}, Math. Comput. 92, No. 342, 1467--1490 (2023; Zbl 1512.35348) Full Text: DOI arXiv
Brizzi, Camilla; De Pascale, Luigi A property of absolute minimizers in \(L^\infty\) calculus of variations and of solutions of the Aronsson-Euler equation. (English) Zbl 1500.49010 Adv. Differ. Equ. 28, No. 3-4, 287-310 (2023). MSC: 49K20 49K30 49N60 PDFBibTeX XMLCite \textit{C. Brizzi} and \textit{L. De Pascale}, Adv. Differ. Equ. 28, No. 3--4, 287--310 (2023; Zbl 1500.49010) Full Text: arXiv Link
Bungert, Leon; Korolev, Yury Eigenvalue problems in \(\mathrm{L}^\infty\): optimality conditions, duality, and relations with optimal transport. (English) Zbl 07750995 Commun. Am. Math. Soc. 2, 345-373 (2022). MSC: 26A16 35P30 46N10 47J10 49R05 PDFBibTeX XMLCite \textit{L. Bungert} and \textit{Y. Korolev}, Commun. Am. Math. Soc. 2, 345--373 (2022; Zbl 07750995) Full Text: DOI arXiv
Moser, Roger The streamlines of \(\infty\)-harmonic functions obey the inverse mean curvature flow. (English) Zbl 1506.35108 Commun. Partial Differ. Equations 47, No. 11, 2124-2145 (2022). MSC: 35J92 35D30 35D40 PDFBibTeX XMLCite \textit{R. Moser}, Commun. Partial Differ. Equations 47, No. 11, 2124--2145 (2022; Zbl 1506.35108) Full Text: DOI arXiv
Katzourakis, Nikos On a vector-valued generalisation of viscosity solutions for general PDE systems. (English) Zbl 1509.35107 Z. Anal. Anwend. 41, No. 1-2, 93-132 (2022). Reviewer: Qing Liu (Okinawa) MSC: 35D40 35J47 35J70 35J92 PDFBibTeX XMLCite \textit{N. Katzourakis}, Z. Anal. Anwend. 41, No. 1--2, 93--132 (2022; Zbl 1509.35107) Full Text: DOI arXiv
Miao, Qianyun; Peng, Fa; Zhou, Yuan A quantitative Sobolev regularity for absolute minimizers involving Hamiltonian \(H(p)\) in plane. (English) Zbl 1505.35170 SIAM J. Math. Anal. 54, No. 6, 5792-5853 (2022). MSC: 35J60 35J70 49K20 PDFBibTeX XMLCite \textit{Q. Miao} et al., SIAM J. Math. Anal. 54, No. 6, 5792--5853 (2022; Zbl 1505.35170) Full Text: DOI arXiv
Hoppe, Ronald H. W. A \(\mathrm{C}^0\) Interior Penalty Discontinuous Galerkin method and an equilibrated a posteriori error estimator for a nonlinear fourth order elliptic boundary value problem of \(p\)-biharmonic type. (English) Zbl 07609839 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2051-2079 (2022). MSC: 65-XX 35K35 35K55 65M60 PDFBibTeX XMLCite \textit{R. H. W. Hoppe}, ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2051--2079 (2022; Zbl 07609839) Full Text: DOI
Moser, Roger Structure and classification results for the \(\infty\)-elastica problem. (English) Zbl 1523.49048 Am. J. Math. 144, No. 5, 1299-1329 (2022). Reviewer: Giorgio Saracco (Firenze) MSC: 49Q10 49Q20 PDFBibTeX XMLCite \textit{R. Moser}, Am. J. Math. 144, No. 5, 1299--1329 (2022; Zbl 1523.49048) Full Text: DOI arXiv
Kreisbeck, Carolin; Ritorto, Antonella; Zappale, Elvira Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals. (English) Zbl 1498.49024 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113111, 33 p. (2022). MSC: 49J45 26B25 PDFBibTeX XMLCite \textit{C. Kreisbeck} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113111, 33 p. (2022; Zbl 1498.49024) Full Text: DOI arXiv
Feng, Xiaobing; Lewis, Thomas; Rapp, Aaron Dual-wind discontinuous Galerkin methods for stationary Hamilton-Jacobi equations and regularized Hamilton-Jacobi equations. (English) Zbl 1499.65656 Commun. Appl. Math. Comput. 4, No. 2, 563-596 (2022). MSC: 65N30 35F21 PDFBibTeX XMLCite \textit{X. Feng} et al., Commun. Appl. Math. Comput. 4, No. 2, 563--596 (2022; Zbl 1499.65656) Full Text: DOI
De Filippis, Cristiana Fully nonlinear free transmission problems with nonhomogeneous degeneracies. (English) Zbl 1490.35547 Interfaces Free Bound. 24, No. 2, 197-233 (2022). MSC: 35R35 35A01 35B65 35J60 35J70 PDFBibTeX XMLCite \textit{C. De Filippis}, Interfaces Free Bound. 24, No. 2, 197--233 (2022; Zbl 1490.35547) Full Text: DOI arXiv
Molina-Fructuoso, Martin; Murray, Ryan Tukey depths and Hamilton-Jacobi differential equations. (English) Zbl 1490.35478 SIAM J. Math. Data Sci. 4, No. 2, 604-633 (2022). MSC: 35Q62 62H05 62G35 35F21 60C05 PDFBibTeX XMLCite \textit{M. Molina-Fructuoso} and \textit{R. Murray}, SIAM J. Math. Data Sci. 4, No. 2, 604--633 (2022; Zbl 1490.35478) Full Text: DOI arXiv
Cantin, Guillaume; Thorel, Alexandre On a generalized diffusion problem: a complex network approach. (English) Zbl 1485.35258 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2345-2365 (2022). MSC: 35K35 35A01 35A02 35B40 35K57 35R02 47D06 PDFBibTeX XMLCite \textit{G. Cantin} and \textit{A. Thorel}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2345--2365 (2022; Zbl 1485.35258) Full Text: DOI
Katzourakis, Nikos Generalised vectorial \(\infty\)-eigenvalue nonlinear problems for \(L^{\infty}\) functionals. (English) Zbl 1486.35130 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112806, 29 p. (2022). MSC: 35D30 35D40 35J47 35J92 35J70 35P30 PDFBibTeX XMLCite \textit{N. Katzourakis}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112806, 29 p. (2022; Zbl 1486.35130) Full Text: DOI
Cook, Brendan; Calder, Jeff Rates of convergence for the continuum limit of nondominated sorting. (English) Zbl 1484.35152 SIAM J. Math. Anal. 54, No. 1, 872-911 (2022). MSC: 35D40 35B50 35F21 60F15 60C05 PDFBibTeX XMLCite \textit{B. Cook} and \textit{J. Calder}, SIAM J. Math. Anal. 54, No. 1, 872--911 (2022; Zbl 1484.35152) Full Text: DOI arXiv
Clark, Ed; Katzourakis, Nikos; Muha, Boris Vectorial variational problems in \(L^\infty\) constrained by the Navier-Stokes equations. (English) Zbl 1481.35307 Nonlinearity 35, No. 1, 470-491 (2022). MSC: 35Q30 35D35 35A15 76D05 49J40 49K20 49K35 49M41 PDFBibTeX XMLCite \textit{E. Clark} et al., Nonlinearity 35, No. 1, 470--491 (2022; Zbl 1481.35307) Full Text: DOI arXiv
Ashyralyev, Allaberen; Al-Hammouri, Ahmad; Ashyralyyev, Charyyar On the absolute stable difference scheme for the space-wise dependent source identification problem for elliptic-telegraph equation. (English) Zbl 07775997 Numer. Methods Partial Differ. Equations 37, No. 2, 962-986 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. Ashyralyev} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 962--986 (2021; Zbl 07775997) Full Text: DOI
Drivaliaris, Dimosthenis; Karagiorgos, Yiannis; Yannakakis, Nikos Nearness of nonlinear operators. (English) Zbl 07383972 Rend. Circ. Mat. Palermo (2) 70, No. 2, 1051-1060 (2021). Reviewer: Simeon Reich (Haifa) MSC: 47H05 47H06 46C50 35J60 PDFBibTeX XMLCite \textit{D. Drivaliaris} et al., Rend. Circ. Mat. Palermo (2) 70, No. 2, 1051--1060 (2021; Zbl 07383972) Full Text: DOI
Ayanbayev, Birzhan; Katzourakis, Nikos On the inverse source identification problem in \(L^{\infty}\) for fully nonlinear elliptic PDE. (English) Zbl 1470.35425 Vietnam J. Math. 49, No. 3, 815-829 (2021). MSC: 35R30 35J25 35J60 35J70 PDFBibTeX XMLCite \textit{B. Ayanbayev} and \textit{N. Katzourakis}, Vietnam J. Math. 49, No. 3, 815--829 (2021; Zbl 1470.35425) Full Text: DOI arXiv
Siltakoski, Jarkko Equivalence of viscosity and weak solutions for a \(p\)-parabolic equation. (English) Zbl 1470.35222 J. Evol. Equ. 21, No. 2, 2047-2080 (2021). MSC: 35K92 35B51 35D30 35D40 PDFBibTeX XMLCite \textit{J. Siltakoski}, J. Evol. Equ. 21, No. 2, 2047--2080 (2021; Zbl 1470.35222) Full Text: DOI arXiv
Chen, Chiun-Chuan; Chien, Hung-Yu; Huang, Chih-Chiang A variational approach to three-phase traveling waves for a gradient system. (English) Zbl 1469.35117 Discrete Contin. Dyn. Syst. 41, No. 10, 4737-4765 (2021). MSC: 35K57 35C07 35A15 35K45 PDFBibTeX XMLCite \textit{C.-C. Chen} et al., Discrete Contin. Dyn. Syst. 41, No. 10, 4737--4765 (2021; Zbl 1469.35117) Full Text: DOI
Dumitrescu, Roxana; Reisinger, Christoph; Zhang, Yufei Approximation schemes for mixed optimal stopping and control problems with nonlinear expectations and jumps. (English) Zbl 1514.65102 Appl. Math. Optim. 83, No. 3, 1387-1429 (2021). MSC: 65M06 65M12 65Y05 62L15 60J74 93E20 93B52 91G80 35A23 35A15 35D40 PDFBibTeX XMLCite \textit{R. Dumitrescu} et al., Appl. Math. Optim. 83, No. 3, 1387--1429 (2021; Zbl 1514.65102) Full Text: DOI arXiv
Ayanbayev, Birzhan; Katzourakis, Nikos Vectorial variational principles in \(L^\infty\) and their characterisation through PDE systems. (English) Zbl 1465.35174 Appl. Math. Optim. 83, No. 2, 833-848 (2021). MSC: 35J47 35J50 PDFBibTeX XMLCite \textit{B. Ayanbayev} and \textit{N. Katzourakis}, Appl. Math. Optim. 83, No. 2, 833--848 (2021; Zbl 1465.35174) Full Text: DOI arXiv
Liu, Fang; Yang, Xiao-Ping A weighted eigenvalue problem of the biased infinity Laplacian. (English) Zbl 1459.35299 Nonlinearity 34, No. 2, 1197-1237 (2021). MSC: 35P15 35J94 35J70 35D40 35B51 35B65 PDFBibTeX XMLCite \textit{F. Liu} and \textit{X.-P. Yang}, Nonlinearity 34, No. 2, 1197--1237 (2021; Zbl 1459.35299) Full Text: DOI
Peng, Fa; Wang, Changyou; Zhou, Yuan Regularity of absolute minimizers for continuous convex Hamiltonians. (English) Zbl 1455.35035 J. Differ. Equations 274, 1115-1164 (2021). MSC: 35B65 35A15 35D40 PDFBibTeX XMLCite \textit{F. Peng} et al., J. Differ. Equations 274, 1115--1164 (2021; Zbl 1455.35035) Full Text: DOI arXiv
Eleuteri, Michela; Prinari, Francesca \( \Gamma \)-convergence for power-law functionals with variable exponents. (English) Zbl 1454.49019 Nonlinear Anal., Real World Appl. 58, Article ID 103221, 21 p. (2021). MSC: 49J45 39B82 PDFBibTeX XMLCite \textit{M. Eleuteri} and \textit{F. Prinari}, Nonlinear Anal., Real World Appl. 58, Article ID 103221, 21 p. (2021; Zbl 1454.49019) Full Text: DOI arXiv
Parviainen, Mikko; Vázquez, Juan Luis Equivalence between radial solutions of different parabolic gradient-diffusion equations and applications. (English) Zbl 1476.35130 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 303-359 (2020). Reviewer: Peter Lindqvist (Trondheim) MSC: 35K92 35K55 35B40 35D40 35K59 35K20 35B07 PDFBibTeX XMLCite \textit{M. Parviainen} and \textit{J. L. Vázquez}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, 303--359 (2020; Zbl 1476.35130) Full Text: DOI arXiv
Esteve, Carlos; Zuazua, Enrique The inverse problem for Hamilton-Jacobi equations and semiconcave envelopes. (English) Zbl 1453.35189 SIAM J. Math. Anal. 52, No. 6, 5627-5657 (2020). MSC: 35R30 35F21 35F25 35J70 49L25 PDFBibTeX XMLCite \textit{C. Esteve} and \textit{E. Zuazua}, SIAM J. Math. Anal. 52, No. 6, 5627--5657 (2020; Zbl 1453.35189) Full Text: DOI arXiv
Cotter, Colin J.; Deasy, Jacob; Pryer, Tristan The \(r\)-Hunter-Saxton equation, smooth and singular solutions and their approximation. (English) Zbl 1469.37052 Nonlinearity 33, No. 12, 7016-7039 (2020). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K58 35Q51 35Q35 35B06 35B44 PDFBibTeX XMLCite \textit{C. J. Cotter} et al., Nonlinearity 33, No. 12, 7016--7039 (2020; Zbl 1469.37052) Full Text: DOI arXiv
Katzourakis, Nikos; Pryer, Tristan On the numerical approximation of vectorial absolute minimisers in \(L^\infty\). (English) Zbl 1454.35115 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 6, Paper No. 51, 22 p. (2020). MSC: 35J47 35J62 35A15 PDFBibTeX XMLCite \textit{N. Katzourakis} and \textit{T. Pryer}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 6, Paper No. 51, 22 p. (2020; Zbl 1454.35115) Full Text: DOI arXiv
Katzourakis, Nikos A minimisation problem in \(L^\infty\) with PDE and unilateral constraints. (English) Zbl 1451.35240 ESAIM, Control Optim. Calc. Var. 26, Paper No. 60, 27 p. (2020). MSC: 35Q93 49K20 49J40 90C46 93C20 92C55 PDFBibTeX XMLCite \textit{N. Katzourakis}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 60, 27 p. (2020; Zbl 1451.35240) Full Text: DOI arXiv
Janeček, Karel; Li, Zheng; Sîrbu, Mihai Optimal investment with high-watermark fee in a multidimensional jump diffusion model. (English) Zbl 1448.91272 SIAM J. Financ. Math. 11, No. 3, 750-787 (2020). MSC: 91G10 93E20 49L20 PDFBibTeX XMLCite \textit{K. Janeček} et al., SIAM J. Financ. Math. 11, No. 3, 750--787 (2020; Zbl 1448.91272) Full Text: DOI Link
Prinari, Francesca; Zappale, Elvira A relaxation result in the vectorial setting and power law approximation for supremal functionals. (English) Zbl 1447.49024 J. Optim. Theory Appl. 186, No. 2, 412-452 (2020). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 26B25 47J22 PDFBibTeX XMLCite \textit{F. Prinari} and \textit{E. Zappale}, J. Optim. Theory Appl. 186, No. 2, 412--452 (2020; Zbl 1447.49024) Full Text: DOI
Ayanbayev, Birzhan; Katzourakis, Nikos A pointwise characterisation of the PDE system of vectorial calculus of variations in \(L^\infty\). (English) Zbl 1444.35058 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 1653-1669 (2020). MSC: 35J60 35J47 PDFBibTeX XMLCite \textit{B. Ayanbayev} and \textit{N. Katzourakis}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 1653--1669 (2020; Zbl 1444.35058) Full Text: DOI arXiv
Courte, Luca; Dondl, Patrick; Stefanelli, Ulisse Pinning of interfaces by localized dry friction. (English) Zbl 1440.35324 J. Differ. Equations 269, No. 9, 7356-7381 (2020). MSC: 35Q74 74N20 74N30 35B51 35D30 35D40 35R60 35R70 PDFBibTeX XMLCite \textit{L. Courte} et al., J. Differ. Equations 269, No. 9, 7356--7381 (2020; Zbl 1440.35324) Full Text: DOI arXiv
Abugirda, Hussien; Ayanbayev, Birzhan; Katzourakis, Nikos Rigidity and flatness of the image of certain classes of mappings having tangential Laplacian. (English) Zbl 1453.35096 Rocky Mt. J. Math. 50, No. 2, 383-396 (2020). Reviewer: Ti-Jun Xiao (Fudan) MSC: 35J70 35B06 35B65 35D99 49N60 49N99 PDFBibTeX XMLCite \textit{H. Abugirda} et al., Rocky Mt. J. Math. 50, No. 2, 383--396 (2020; Zbl 1453.35096) Full Text: DOI arXiv Euclid
Puglisi, Daniele A property for the Monge-Ampère equation. (English) Zbl 1440.35188 Isr. J. Math. 236, No. 2, 959-965 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J96 35B65 PDFBibTeX XMLCite \textit{D. Puglisi}, Isr. J. Math. 236, No. 2, 959--965 (2020; Zbl 1440.35188) Full Text: DOI
Brustad, Karl K. Superposition of \(p\)-superharmonic functions. (English) Zbl 1464.35136 Adv. Calc. Var. 13, No. 2, 155-177 (2020). MSC: 35J92 PDFBibTeX XMLCite \textit{K. K. Brustad}, Adv. Calc. Var. 13, No. 2, 155--177 (2020; Zbl 1464.35136) Full Text: DOI arXiv
Katzourakis, Nikos; Pryer, Tristan Second-order \(L^\infty\) variational problems and the \(\infty\)-polylaplacian. (English) Zbl 1437.49006 Adv. Calc. Var. 13, No. 2, 115-140 (2020). MSC: 49J20 65N99 35J92 35J40 PDFBibTeX XMLCite \textit{N. Katzourakis} and \textit{T. Pryer}, Adv. Calc. Var. 13, No. 2, 115--140 (2020; Zbl 1437.49006) Full Text: DOI arXiv
Rajashekar, Naraveni; Chaudhary, Sudhakar; Srinivas Kumar, V. V. K. Approximation of \(p\)-biharmonic problem using WEB-spline based mesh-free method. (English) Zbl 07168323 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 6, 703-712 (2019). MSC: 65N12 65N22 65N30 41A15 35Q90 PDFBibTeX XMLCite \textit{N. Rajashekar} et al., Int. J. Nonlinear Sci. Numer. Simul. 20, No. 6, 703--712 (2019; Zbl 07168323) Full Text: DOI
Katzourakis, Nikos Inverse optical tomography through PDE constrained optimization \(L^\infty \). (English) Zbl 1430.49037 SIAM J. Control Optim. 57, No. 6, 4205-4233 (2019). MSC: 49N45 49J40 49K20 49J50 47J20 92C55 49S05 PDFBibTeX XMLCite \textit{N. Katzourakis}, SIAM J. Control Optim. 57, No. 6, 4205--4233 (2019; Zbl 1430.49037) Full Text: DOI arXiv
Heino, Joonas A continuous time tug-of-war game for parabolic \(p(x,t)\)-Laplace-type equations. (English) Zbl 1422.91087 Commun. Contemp. Math. 21, No. 5, Article ID 1850047, 36 p. (2019). MSC: 91A15 91A23 49L25 35K65 PDFBibTeX XMLCite \textit{J. Heino}, Commun. Contemp. Math. 21, No. 5, Article ID 1850047, 36 p. (2019; Zbl 1422.91087) Full Text: DOI arXiv
Crasta, Graziano; Fragalà, Ilaria Rigidity results for variational infinity ground states. (English) Zbl 1429.35104 Indiana Univ. Math. J. 68, No. 2, 353-367 (2019). Reviewer: Francesco Rossi (Padova) MSC: 35J92 35D40 PDFBibTeX XMLCite \textit{G. Crasta} and \textit{I. Fragalà}, Indiana Univ. Math. J. 68, No. 2, 353--367 (2019; Zbl 1429.35104) Full Text: DOI arXiv
Papamikos, Georgios; Pryer, Tristan A Lie symmetry analysis and explicit solutions of the two-dimensional \(\infty\)-polylaplacian. (English) Zbl 1420.35401 Stud. Appl. Math. 142, No. 1, 48-64 (2019). MSC: 35Q74 35J60 17B81 35C07 PDFBibTeX XMLCite \textit{G. Papamikos} and \textit{T. Pryer}, Stud. Appl. Math. 142, No. 1, 48--64 (2019; Zbl 1420.35401) Full Text: DOI Link
Katzourakis, Nikos; Pryer, Tristan On the numerical approximation of \(p\)-biharmonic and \(\infty\)-biharmonic functions. (English) Zbl 1419.65113 Numer. Methods Partial Differ. Equations 35, No. 1, 155-180 (2019). MSC: 65N30 65N12 35Q30 31B30 PDFBibTeX XMLCite \textit{N. Katzourakis} and \textit{T. Pryer}, Numer. Methods Partial Differ. Equations 35, No. 1, 155--180 (2019; Zbl 1419.65113) Full Text: DOI arXiv
Katzourakis, Nikos Solutions of vectorial Hamilton-Jacobi equations are rank-one absolute minimisers in \(L^{\infty}\). (English) Zbl 1437.35158 Adv. Nonlinear Anal. 8, 508-516 (2019). MSC: 35F21 35D40 35J47 35J92 35J70 PDFBibTeX XMLCite \textit{N. Katzourakis}, Adv. Nonlinear Anal. 8, 508--516 (2019; Zbl 1437.35158) Full Text: DOI arXiv
Medina, Maria; Ochoa, Pablo On viscosity and weak solutions for non-homogeneous \(p\)-Laplace equations. (English) Zbl 1419.35075 Adv. Nonlinear Anal. 8, 468-481 (2019). MSC: 35J92 35D40 35D30 PDFBibTeX XMLCite \textit{M. Medina} and \textit{P. Ochoa}, Adv. Nonlinear Anal. 8, 468--481 (2019; Zbl 1419.35075) Full Text: DOI arXiv
Katzourakis, Nikos An \(L^\infty\) regularization strategy to the inverse source identification problem for elliptic equations. (English) Zbl 1414.35066 SIAM J. Math. Anal. 51, No. 2, 1349-1370 (2019). MSC: 35J15 35J25 35A15 35R30 65N22 PDFBibTeX XMLCite \textit{N. Katzourakis}, SIAM J. Math. Anal. 51, No. 2, 1349--1370 (2019; Zbl 1414.35066) Full Text: DOI arXiv
Katzourakis, Nikos; Moser, Roger Existence, uniqueness and structure of second order absolute minimisers. (English) Zbl 1407.49002 Arch. Ration. Mech. Anal. 231, No. 3, 1615-1634 (2019). MSC: 49J10 35A15 35J35 PDFBibTeX XMLCite \textit{N. Katzourakis} and \textit{R. Moser}, Arch. Ration. Mech. Anal. 231, No. 3, 1615--1634 (2019; Zbl 1407.49002) Full Text: DOI arXiv Link
Pawlaschyk, Thomas; Zeron, Eduardo S. On convex hulls and pseudoconvex domains generated by \(q\)-plurisubharmonic functions. III. (English) Zbl 1404.32066 J. Math. Anal. Appl. 471, No. 1-2, 73-87 (2019). MSC: 32U05 31C10 PDFBibTeX XMLCite \textit{T. Pawlaschyk} and \textit{E. S. Zeron}, J. Math. Anal. Appl. 471, No. 1--2, 73--87 (2019; Zbl 1404.32066) Full Text: DOI
Morrison, George; Taheri, Ali On a class of stationary loops on \(\mathbf{SO}(n)\) and the existence of multiple twisting solutions to a nonlinear elliptic system subject to a hard incompressibility constraint. (English) Zbl 1499.74021 Bound. Value Probl. 2018, Paper No. 130, 24 p. (2018). MSC: 74B20 49J45 35J60 49N60 35J57 PDFBibTeX XMLCite \textit{G. Morrison} and \textit{A. Taheri}, Bound. Value Probl. 2018, Paper No. 130, 24 p. (2018; Zbl 1499.74021) Full Text: DOI
Ayanbayev, Birzhan Explicit \(\infty\)-harmonic functions in high dimensions. (English) Zbl 1406.35131 J. Elliptic Parabol. Equ. 4, No. 2, 305-324 (2018); correction ibid. 4, No. 2, 325 (2018). MSC: 35J92 31C05 PDFBibTeX XMLCite \textit{B. Ayanbayev}, J. Elliptic Parabol. Equ. 4, No. 2, 305--324 (2018; Zbl 1406.35131) Full Text: DOI arXiv
Siltakoski, Jarkko Equivalence of viscosity and weak solutions for the normalized \(p(x)\)-Laplacian. (English) Zbl 1397.35116 Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 95, 20 p. (2018). MSC: 35J92 35J70 35J75 35D40 35D30 PDFBibTeX XMLCite \textit{J. Siltakoski}, Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 95, 20 p. (2018; Zbl 1397.35116) Full Text: DOI arXiv
Katzourakis, Nikos Weak vs. \(\mathcal{D}\)-solutions to linear hyperbolic first-order systems with constant coefficients. (English) Zbl 1406.35171 J. Hyperbolic Differ. Equ. 15, No. 2, 329-347 (2018). MSC: 35L03 35D30 35C99 35E99 PDFBibTeX XMLCite \textit{N. Katzourakis}, J. Hyperbolic Differ. Equ. 15, No. 2, 329--347 (2018; Zbl 1406.35171) Full Text: DOI arXiv
Bidaut-Véron, Marie-Françoise; Garcia-Huidobro, Marta; Véron, Laurent Separable infinity harmonic functions in cones. (English) Zbl 1392.35150 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 41, 31 p. (2018). MSC: 35J62 35B09 PDFBibTeX XMLCite \textit{M.-F. Bidaut-Véron} et al., Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 41, 31 p. (2018; Zbl 1392.35150) Full Text: DOI arXiv
Abugirda, Hussien; Katzourakis, Nikos On the well-posedness of global fully nonlinear first order elliptic systems. (English) Zbl 1392.35120 Adv. Nonlinear Anal. 7, No. 2, 139-148 (2018). MSC: 35J46 PDFBibTeX XMLCite \textit{H. Abugirda} and \textit{N. Katzourakis}, Adv. Nonlinear Anal. 7, No. 2, 139--148 (2018; Zbl 1392.35120) Full Text: DOI arXiv
Katzourakis, Nikos; Shaw, Giles Counterexamples in calculus of variations in \(L^{\infty}\) through the vectorial eikonal equation. (Contre-exemples dans le calcul des variations dans \(L^{\infty}\) par l’équation iconale vectorielle.) (English. French summary) Zbl 1390.49014 C. R., Math., Acad. Sci. Paris 356, No. 5, 498-502 (2018). MSC: 49K10 35J60 PDFBibTeX XMLCite \textit{N. Katzourakis} and \textit{G. Shaw}, C. R., Math., Acad. Sci. Paris 356, No. 5, 498--502 (2018; Zbl 1390.49014) Full Text: DOI arXiv
Katzourakis, Nikos; Parini, Enea The eigenvalue problem for the \(\infty \)-Bilaplacian. (English) Zbl 1516.35295 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 6, Paper No. 68, 25 p. (2017). MSC: 35P30 35P15 35D40 35J91 49R05 PDFBibTeX XMLCite \textit{N. Katzourakis} and \textit{E. Parini}, NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 6, Paper No. 68, 25 p. (2017; Zbl 1516.35295) Full Text: DOI arXiv
Neilan, Michael; Salgado, Abner J.; Zhang, Wujun Numerical analysis of strongly nonlinear PDEs. (English) Zbl 1381.65092 Acta Numerica 26, 137-303 (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65N30 65N06 65N12 65N15 65N22 35J57 35J66 60H15 35J96 35F21 PDFBibTeX XMLCite \textit{M. Neilan} et al., Acta Numerica 26, 137--303 (2017; Zbl 1381.65092) Full Text: DOI arXiv
Liao, Dongni; Wang, Jialin; Yang, Qiang; Wu, Shimin Partial interior regularity for sub-elliptic systems with dini continuous coefficients in Carnot groups: the sub-quadratic controllable case. (English) Zbl 1386.35049 Bound. Value Probl. 2017, Paper No. 150, 24 p. (2017). MSC: 35H20 35B65 PDFBibTeX XMLCite \textit{D. Liao} et al., Bound. Value Probl. 2017, Paper No. 150, 24 p. (2017; Zbl 1386.35049) Full Text: DOI
Pisante, Giovanni; Katzourakis, Nikos; Croce, Gisella \(\mathcal{D}\)-solutions to the system of vectorial calculus of variations in \(L^\infty\) via the singular value problem. (English) Zbl 1386.35081 Discrete Contin. Dyn. Syst. 37, No. 12, 6165-6181 (2017). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35J57 35J62 35D99 PDFBibTeX XMLCite \textit{G. Pisante} et al., Discrete Contin. Dyn. Syst. 37, No. 12, 6165--6181 (2017; Zbl 1386.35081) Full Text: DOI arXiv
Miller, Christopher W.; Yang, Insoon Optimal control of conditional value-at-risk in continuous time. (English) Zbl 1366.49031 SIAM J. Control Optim. 55, No. 2, 856-884 (2017). MSC: 49L20 49L25 90C39 93E20 91G80 PDFBibTeX XMLCite \textit{C. W. Miller} and \textit{I. Yang}, SIAM J. Control Optim. 55, No. 2, 856--884 (2017; Zbl 1366.49031) Full Text: DOI arXiv
Katzourakis, Nikos Generalised solutions for fully nonlinear PDE systems and existence-uniqueness theorems. (English) Zbl 1362.35105 J. Differ. Equations 263, No. 1, 641-686 (2017). MSC: 35G50 35D99 35J70 PDFBibTeX XMLCite \textit{N. Katzourakis}, J. Differ. Equations 263, No. 1, 641--686 (2017; Zbl 1362.35105) Full Text: DOI arXiv
Katzourakis, Nikos Absolutely minimising generalised solutions to the equations of vectorial calculus of variations in \(L^\infty \). (English) Zbl 1366.35037 Calc. Var. Partial Differ. Equ. 56, No. 1, Paper No. 15, 25 p. (2017). Reviewer: Lubomira Softova (Aversa) MSC: 35J60 PDFBibTeX XMLCite \textit{N. Katzourakis}, Calc. Var. Partial Differ. Equ. 56, No. 1, Paper No. 15, 25 p. (2017; Zbl 1366.35037) Full Text: DOI arXiv
Abugirda, Hussien; Katzourakis, Nikos Existence of \(1D\) vectorial absolute minimisers in \(L^\infty \) under minimal assumptions. (English) Zbl 1362.35128 Proc. Am. Math. Soc. 145, No. 6, 2567-2575 (2017). MSC: 35J47 35J62 PDFBibTeX XMLCite \textit{H. Abugirda} and \textit{N. Katzourakis}, Proc. Am. Math. Soc. 145, No. 6, 2567--2575 (2017; Zbl 1362.35128) Full Text: DOI arXiv
Belak, Christoph; Christensen, Sören; Seifried, Frank Thomas A general verification result for stochastic impulse control problems. (English) Zbl 1358.93186 SIAM J. Control Optim. 55, No. 2, 627-649 (2017). MSC: 93E20 49L25 60J60 60J45 PDFBibTeX XMLCite \textit{C. Belak} et al., SIAM J. Control Optim. 55, No. 2, 627--649 (2017; Zbl 1358.93186) Full Text: DOI
Katzourakis, Nikos A characterisation of \(\infty\)-harmonic and \(p\)-harmonic maps via affine variations in \(L^{\infty}\). (English) Zbl 1357.35088 Electron. J. Differ. Equ. 2017, Paper No. 29, 19 p. (2017). MSC: 35D40 35J47 35J92 35J70 35A15 PDFBibTeX XMLCite \textit{N. Katzourakis}, Electron. J. Differ. Equ. 2017, Paper No. 29, 19 p. (2017; Zbl 1357.35088) Full Text: arXiv Link
Alama, Stan; Bronsard, Lia; Contreras, Andres; Dadok, Jiri; Sternberg, Peter A degenerate isoperimetric problem and traveling waves to a bistable Hamiltonian system. (English) Zbl 1365.49042 Commun. Pure Appl. Math. 70, No. 2, 340-377 (2017). Reviewer: Vasile Oproiu (Iaşi) MSC: 49Q20 58E10 70H25 PDFBibTeX XMLCite \textit{S. Alama} et al., Commun. Pure Appl. Math. 70, No. 2, 340--377 (2017; Zbl 1365.49042) Full Text: DOI arXiv
Katzourakis, Nikos; Pryer, Tristan On the numerical approximation of \(\infty \)-harmonic mappings. (English) Zbl 1371.35068 NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 6, Paper No. 61, 23 p. (2016). MSC: 35J25 35J62 PDFBibTeX XMLCite \textit{N. Katzourakis} and \textit{T. Pryer}, NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 6, Paper No. 61, 23 p. (2016; Zbl 1371.35068) Full Text: DOI arXiv
Katzourakis, Nikos; Manfredi, Juan Remarks on the maximum principle for the \(\infty\)-Laplacian. (English) Zbl 1375.35155 Matematiche 71, No. 1, 63-74 (2016). MSC: 35J47 35J62 PDFBibTeX XMLCite \textit{N. Katzourakis} and \textit{J. Manfredi}, Matematiche 71, No. 1, 63--74 (2016; Zbl 1375.35155) Full Text: DOI arXiv
Katzourakis, Nikos Existence and uniqueness of global strong solutions to fully nonlinear second order elliptic systems. (English) Zbl 1358.35031 NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 3, Paper No. 33, 30 p. (2016). MSC: 35J47 35J60 35D30 32A50 32W50 PDFBibTeX XMLCite \textit{N. Katzourakis}, NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 3, Paper No. 33, 30 p. (2016; Zbl 1358.35031) Full Text: DOI arXiv
Sourdis, Christos The heteroclinic connection problem for general double-well potentials. (English) Zbl 1383.37052 Mediterr. J. Math. 13, No. 6, 4693-4710 (2016). MSC: 37J45 37K05 PDFBibTeX XMLCite \textit{C. Sourdis}, Mediterr. J. Math. 13, No. 6, 4693--4710 (2016; Zbl 1383.37052) Full Text: DOI arXiv
Katzourakis, Nikos On the loss of compactness in the vectorial heteroclinic connection problem. (English) Zbl 1354.34078 Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 3, 595-608 (2016). MSC: 34C37 46B50 37J15 PDFBibTeX XMLCite \textit{N. Katzourakis}, Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 3, 595--608 (2016; Zbl 1354.34078) Full Text: DOI arXiv
Katzourakis, Nikos On linear degenerate elliptic PDE systems with constant coefficients. (English) Zbl 1343.35117 Adv. Calc. Var. 9, No. 3, 283-291 (2016). MSC: 35J70 35B65 PDFBibTeX XMLCite \textit{N. Katzourakis}, Adv. Calc. Var. 9, No. 3, 283--291 (2016; Zbl 1343.35117) Full Text: DOI arXiv
Tkachev, Vladimir G. On the non-vanishing property for real analytic solutions of the \(p\)-Laplace equation. (English) Zbl 1360.35069 Proc. Am. Math. Soc. 144, No. 6, 2375-2382 (2016). MSC: 35J60 17A30 17A60 35A01 35A02 35C11 35J92 PDFBibTeX XMLCite \textit{V. G. Tkachev}, Proc. Am. Math. Soc. 144, No. 6, 2375--2382 (2016; Zbl 1360.35069) Full Text: DOI arXiv
Gui, Changfeng; Zhao, Mingfeng Traveling wave solutions of Allen-Cahn equation with a fractional Laplacian. (English) Zbl 1326.35068 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 4, 785-812 (2015). MSC: 35C07 35B32 35J20 35R09 35R11 45G05 47G10 PDFBibTeX XMLCite \textit{C. Gui} and \textit{M. Zhao}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 4, 785--812 (2015; Zbl 1326.35068) Full Text: DOI
Hayrapetyan, Gurgen; Promislow, Keith Spectra of functionalized operators arising from hypersurfaces. (English) Zbl 1328.35134 Z. Angew. Math. Phys. 66, No. 3, 631-662 (2015). Reviewer: Paolo Musolino (Padova) MSC: 35P20 35B25 35B40 47A10 PDFBibTeX XMLCite \textit{G. Hayrapetyan} and \textit{K. Promislow}, Z. Angew. Math. Phys. 66, No. 3, 631--662 (2015; Zbl 1328.35134) Full Text: DOI
Katzourakis, Nikos Nonuniqueness in vector-valued calculus of variations in \(L^\infty\) and some linear elliptic systems. (English) Zbl 1316.31017 Commun. Pure Appl. Anal. 14, No. 1, 313-327 (2015); corrigendum ibid. 18, No. 4, 2197-2198 (2019). MSC: 31C45 35J47 30C65 PDFBibTeX XMLCite \textit{N. Katzourakis}, Commun. Pure Appl. Anal. 14, No. 1, 313--327 (2015; Zbl 1316.31017) Full Text: DOI arXiv
Katzourakis, Nikos Optimal \(\infty\)-quasiconformal immersions. (English) Zbl 1317.30029 ESAIM, Control Optim. Calc. Var. 21, No. 2, 561-582 (2015). MSC: 30C70 30C75 30C65 35J47 PDFBibTeX XMLCite \textit{N. Katzourakis}, ESAIM, Control Optim. Calc. Var. 21, No. 2, 561--582 (2015; Zbl 1317.30029) Full Text: DOI arXiv
Einkemmer, Lukas; Ostermann, Alexander An almost symmetric Strang splitting scheme for nonlinear evolution equations. (English) Zbl 1368.65074 Comput. Math. Appl. 67, No. 12, 2144-2157 (2014). MSC: 65J08 35F20 65M12 PDFBibTeX XMLCite \textit{L. Einkemmer} and \textit{A. Ostermann}, Comput. Math. Appl. 67, No. 12, 2144--2157 (2014; Zbl 1368.65074) Full Text: DOI arXiv
Katzourakis, Nikos On the structure of \(\infty\)-harmonic maps. (English) Zbl 1304.49038 Commun. Partial Differ. Equations 39, No. 11, 2091-2124 (2014). MSC: 49J99 53C24 PDFBibTeX XMLCite \textit{N. Katzourakis}, Commun. Partial Differ. Equations 39, No. 11, 2091--2124 (2014; Zbl 1304.49038) Full Text: DOI arXiv Link
Katzourakis, Nikolaos I. \(\infty\)-minimal submanifolds. (English) Zbl 1301.35029 Proc. Am. Math. Soc. 142, No. 8, 2797-2811 (2014). Reviewer: Lubomira Softova (Aversa) MSC: 35J47 35J62 53C24 31C45 PDFBibTeX XMLCite \textit{N. I. Katzourakis}, Proc. Am. Math. Soc. 142, No. 8, 2797--2811 (2014; Zbl 1301.35029) Full Text: DOI arXiv
Katzourakis, Nicholas Explicit 2D \(\infty\)-harmonic maps whose interfaces have junctions and corners. (English. French summary) Zbl 1278.35057 C. R., Math., Acad. Sci. Paris 351, No. 17-18, 677-680 (2013). MSC: 35G60 35C05 PDFBibTeX XMLCite \textit{N. Katzourakis}, C. R., Math., Acad. Sci. Paris 351, No. 17--18, 677--680 (2013; Zbl 1278.35057) Full Text: DOI arXiv Link
Katzourakis, Nikolaos I. Maximum principles for vectorial approximate minimizers of nonconvex functionals. (English) Zbl 1272.49039 Calc. Var. Partial Differ. Equ. 46, No. 3-4, 505-522 (2013). Reviewer: Fabio Paronetto (Padova) MSC: 49K27 49J45 30C80 PDFBibTeX XMLCite \textit{N. I. Katzourakis}, Calc. Var. Partial Differ. Equ. 46, No. 3--4, 505--522 (2013; Zbl 1272.49039) Full Text: DOI arXiv Link
Katzourakis, Nikolaos I. A Hölder continuous nowhere improvable function with derivative singular distribution. (English) Zbl 1260.35051 S\(\vec{\text{e}}\)MA J. 59, 37-51 (2012). MSC: 35J60 35J70 35D40 PDFBibTeX XMLCite \textit{N. I. Katzourakis}, S\(\vec{\text{e}}\)MA J. 59, 37--51 (2012; Zbl 1260.35051) Full Text: DOI arXiv
Katzourakis, Nikolaos I. \(L^{\infty }\) variational problems for maps and the Aronsson PDE system. (English) Zbl 1248.35074 J. Differ. Equations 253, No. 7, 2123-2139 (2012). MSC: 35J47 35J62 49J99 35D40 PDFBibTeX XMLCite \textit{N. I. Katzourakis}, J. Differ. Equations 253, No. 7, 2123--2139 (2012; Zbl 1248.35074) Full Text: DOI arXiv
Katzourakis, Nikolaos I. Explicit singular viscosity solutions of the Aronsson equation. (English. French summary) Zbl 1230.35037 C. R., Math., Acad. Sci. Paris 349, No. 21-22, 1173-1176 (2011). MSC: 35D40 35J60 35B08 PDFBibTeX XMLCite \textit{N. I. Katzourakis}, C. R., Math., Acad. Sci. Paris 349, No. 21--22, 1173--1176 (2011; Zbl 1230.35037) Full Text: DOI arXiv Link