Research interests

• PDE
• Korn inequalities
• nonlinear elasticity theory
• minimizing cones

Publications

• P. Lewintan, S. Müller, P. Neff: Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy, submitted, preprint: arXiv:2011.10573 [math.AP]
• P. Lewintan, P. Neff: L^p -trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions, submitted, preprint:  hal-02967603
• I.-D. Ghiba, M. Bîrsan, P. Lewintan, P. Neff: A constrained Cosserat shell model up to order O(h⁵): Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor, submitted, preprint: arXiv:2010.1430[math.AP]
• P. Lewintan, P. Neff: L^p-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions, submitted, preprint: arXiv:2004.05981[math.AP]
• I.-D. Ghiba, M. Bîrsan, P. Lewintan, P. Neff: The isotropic Cosserat shell model including terms up to O(h⁵). Part II: Existence of minimizers, J Elast 142 (2020), 263–290, doi: 10.1007/s10659-020-09795-4, arXiv:2003.08594[math.AP]
• I.-D. Ghiba, M. Bîrsan, P. Lewintan, P. Neff: The isotropic Cosserat shell model including terms up to O(h⁵). Part I: Derivation in matrix notation, J Elast 142 (2020), 201–262, doi: 10.1007/s10659-020-09796-3, arXiv:2003.00549[math-ph]
• P. Lewintan, P. Neff: The L^p -version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions with p-integrable exterior derivative, submitted, preprint: arXiv:1912.11551[math.AP]
• P. Lewintan, P. Neff: Nečas-Lions lemma revisited: An L^p -version of the generalized Korn inequality for incompatible tensor fields, submitted, preprint: arXiv:1912.08447[math.AP]
• P. Lewintan:  On α-minimizing hypercones, Rend. Sem. Mat. Univ. Padova 143 (2020), 227–246. doi: 10.4171/RSMUP/45, arXiv: 1901.06872[math.DG]
• F. Bozorgnia, P. Lewintan: Decay estimate for the solution of the evolutionary damped p-Laplace equation, preprint: arXiv:1905.03597 [math.AP]
• S. Eberle, P. Lewintan: Ein Vorschlag zur konsistenten Einführung der Ableitung mit der Zoom-in-Methode. Math. Semesterber. 66 (2019), no. 2, 203–217. pdf, doi: 10.1007/s00591-019-00250-7
• P. Lewintan: Geometric Calculus of the Gauss Map. Adv. Appl. Clifford Algebras 27 (2017), no. 1, 503–521. pdf, doi: 10.1007/s00006-016-0727-1
• P. Lewintan: On Bernstein-type theorems. In: J. van der Veken et al. (eds.), Pure and Applied Differential Geometry - PADGE 2012, In memory of Franki Dillen. Shaker Verlag, 2013, 168–174. pdf
• P. Lewintan: The ”Wrong Minimal Surface Equation” does not have the Bernstein property. Analysis 31 (2011), no. 4, 299–303. pdf, doi:  10.1524/anly.2011.1137

Poster

• P. Lewintan: Geometric Calculus of the Gauss Map, May 2019, Poster