- Events in 2022
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International conference on nonlinear PDEs (2022)
- Asia-Pacific Analysis & PDE seminar
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- USyd PDE Seminar
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During a research visit at the University La Sapienza -
Università di Roma (Italy)
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Recently Submitted Papers
- [P1] with Timothy Collier, A doubly nonlinear evolution problem involving the fractional \(p\)-Laplacian, available on ArXiv: 2110.13401, (2021).
- [P2] with David Lee, Functional Calculus via the extension technique: a first hitting time approach, available on ArXiv: 2101.11305, (2021).
Recently Accepted Papers
- [16] with J. Mazón, The Dirichlet-to-Neumann operator associated with the \(1\)-Laplace operator and evolution problems, Calc. Var. Partial Differential Equations, Vol. 61, No. 1 (2022), Paper No. 37, 50pp, DOI: 10.1007/s00526-021-02149-5.
List of Publications
Monographs
- [M1] with Thierry Coulhon, Functional inequalities and regularizing effect of nonlinear semigroups , 1--208, Accepted for publication in the Springer Serie SMAI - Mathématiques et Applications (2021).
Peer-reviewed journal articles
- [15] with Peter Gurka, More insights into the Trudinger-Moser inequality with monomial weight , Calc. Var., Vol. 60, No. 16 (2021), Pages 1481–1493, DOI: 10.1007/s00526-020-01890-7 .
- [14] sole authored, Regularizing effect of homogeneous evolution equations with perturbation, Nonlinear Anal., Vol. 206, (2021), DOI: 10.1016/j.na.2021.112245 .
- [13] with Ben Andrews and Julie Clutterbuck, The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions, Amer. Math. Soc., Vol.149 (2021), Pages 1481–1493, DOI: 10.1090/proc/15140 .
- [12] with Ben Andrews and Julie Clutterbuck, Non-concavity of the Robin ground state, Camb. J. Math., Vol. 8 (2020), Pages 243–310, DOI: 10.4310/cjm.2020.v8.n2.a1.
- [11] with Wolfgang Arendt, Maximal \(L^2\)-regularity in nonlinear gradient systems and perturbations of sublinear growth, Pure. Appl. Anal., Vol. 2, No. 1 (2020), Pages 23–34, DOI: 10.2140/paa.2020.2.23.
- [10] with J. Mazón, Regularizing effects of homogeneous evolution equations: the case of homogeneity order zero , J. Evol. Equ., Vol. 19, No. 4 (2019), Pages 965–996, DOI: 10.1007/s00028-019-00502-y.
- [9] with Yuan He, Dehui Liu, Fractional powers of monotone operators in Hilbert spaces , Adv. Nonlinear Stud., Vol. 19, No. 4 (2019), Pages 717–755, DOI: 10.1515/ans-2019-2053.
- [8] with J. Mazón, Kurdyka-Łojasiewicz-Simon inequality for gradient flows in metric spaces , Trans. Amer. MAth. Soc., Vol. 372, No. 7 (2019), Pages 4917–4976, DOI: 10.1090/tran/7801.
- [7] with Ralph Chill and James B. Kennedy, Nonlinear semigroups generated by \(j\)-elliptic functionals, J. Math. Pures Appl., Vol. 105, Issue 3 (2016), Pages 415–450, DOI: 10.1016/j.matpur.2015.11.005.
- [6] with Jerome A. Goldstein and Abdelaziz Rhandi, Existence and nonexistence of positive solutions of \(p\)-Kolmogorov equations perturbed by a Hardy potential , Nonlinear Anal., Vol. 131 (2016), Pages 121–154, DOI: 10.1016/j.na.2015.07.016.
- [5] The \(p\)-Dirichlet-to-Neumann operator with applications to elliptic and parabolic problems, Journal of Differential Equations, Vol. 259, Issue 8 (2015), Pages 3615–3655, DOI : 10.1016/j.jde.2015.04.030.
- [4] with EN Dancer and Daniel Daners, Uniform convergence of solutions to elliptic equations on domains with shrinking holes, Advances in Differential Equations, Vol. 20 (2015), Pages 463–494.
- [3] with EN Dancer and Daniel Daners, A Liouville theorem for \(p\)-harmonic functions on exterior domains, Positivity, Vol. 19, Issue 3 (2014), Pages 577–586, DOI: 10.1007/s00030-012-0203-0.
- [2] with A. Rhandi, A weighted Hardy inequality and nonexistence of positive solutions. Arch. Math. (Basel), Vol. 100 (2013), Issue 3, Pages 273–287, DOI: 10.1007/s00013-013-0484-5.
- [1] sole authored, Convergence of bounded solutions of nonlinear parabolic problems on a bounded interval: the singular case, NoDEA Nonlinear Differential Equations Appl., Vol. 20 (2013), Issue 3, Pages 1171–1190, DOI: 10.1007/s00030-012-0203-0.
Doctoral thesis (Dissertation)
- [PhD] Evolutionsprobleme für den p-Laplace Operator: asymptotisches Verhalten und Nichtexistenz / Problème d’évolution associés au p-laplacien: comportement asymptotique et non existence, Doctoral thesis, Universität Ulm (Germany) in cotutelle with Université de Lorraine (France), 2012.
Diploma thesis
- [D1] Nonlinear heat equations associated with convex functionals - an introduction based on the Dirichlet p-Laplace operator, Diploma thesis, Universität Ulm, 2008.