Steiner symmetrization for concave semilinear elliptic and parabolicequations and the obstacle problem

J.I.  Díaz; D.  Gómez-Castro

doi:10.3934/proc.2015.0379

Article Contents

2015, Volume 2015: 379-386. Doi: 10.3934/proc.2015.0379 open access

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Steiner symmetrization for concave semilinear elliptic and parabolic equations and the obstacle problem

J.I. Díaz^1, and
D. Gómez-Castro^1,

1.
Instituto de Matemática Interdisciplinar and Dpto. de Matemática Aplicada, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Plaza de las Ciencias, 3, 28040 Madrid

Received: August 31, 2014

Revised: December 31, 2014

Published: October 2015

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Abstract

We extend some previous results in the literature on the Steiner rearrangement of linear second order elliptic equations to the semilinear concave parabolic problems and the obstacle problem.

Keywords:

Mathematics Subject Classification: 35J61, 35J65, 35J45.

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References

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