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Minimal solutions to nonlinear systems of PDEs


Nondegeneracy of heteroclinic orbits for a class of potentials on the plane

Author(s): Jacek Jendrej; Panayotis Smyrnelis
Published in: Applied Mathematics Letters, 2021, ISSN 0893-9659
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2021.107681

Double layered solutions to the extended Fisher–Kolmogorov P.D.E.

Author(s): Panayotis Smyrnelis; Panayotis Smyrnelis
Published in: Nonlinear Differential Equations and Applications NoDEA, Issue 1, 2021, ISSN 1021-9722
Publisher: Birkhauser Verlag
DOI: 10.1007/s00030-021-00708-5

Entire vortex solutions of negative degree for the anisotropic Ginzburg-Landau system

Author(s): Michal Kowalczyk, Xavier Lamy, Panayotis Smyrnelis
Published in: Archive for Rational Mechanics and Analysis, 2022, ISSN 0003-9527
Publisher: Springer Verlag

A comparison principle for vector valued minimizers of semilinear elliptic energy, with application to dead cores

Author(s): Smyrnelis, P.A.
Published in: Indiana University Mathematics Journal, Issue 70, 2021, Page(s) 1745-1768, ISSN 0022-2518
Publisher: Indiana University Press
DOI: 10.1512/iumj.2021.70.9435

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