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dc.contributor.authorSmyrnelis, P.A.
dc.description.abstractWe establish a comparison principle providing accurate upper bounds for the modulus of vector valued minimizers of an energy functional, associated when the potential is smooth, to elliptic gradient systems. Our assumptions are very mild: we assume that the potential is lower semicontinuous, and satisfies a monotonicity condition in a neighbourhood of its minimum. As a consequence, we give a sufficient condition for the existence of dead core regions, where the minimizer is equal to one of the minima of the potential. Our results extend and provide variational versions of several classical theorems, well-known for solutions of scalar semilinear elliptic PDE.en_US
dc.description.sponsorshipBasque Government through the BERC 2018-2021 program Spanish State Research Agency through BCAM Severo Ochoa excellence accreditation SEV-2017-0718 and through project PID2020-114189RB-I00 funded by Agencia Estatal de Investigación (PID2020-114189RB-I00 / AEI / 10.13039/501100011033)en_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.subjectcomparison principle, phase transition, dead core, vector valued minimizer, semilinear elliptic energy.en_US
dc.titleA comparison principle for vector valued minimizers of semilinear elliptic energy, with application to dead coresen_US
dc.journal.titleIndiana University Mathematics Journalen_US

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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España