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Remarks on the decay/growth rate of solutions to elliptic free boundary problems of obstacle type

1 Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran
2 Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden
3 Department of Mathematics, University of Duisburg-Essen, Essen, Germany

This contribution is part of the Special Issue: Contemporary PDEs between theory and modeling—Dedicated to Sandro Salsa, on the occasion of his 70th birthday
Guest Editor: Gianmaria Verzini

## Abstract    Full Text(HTML)    Figure/Table    Related pages

The purpose of this note is to present a “new” approach to the decay rate of the solutions to the no-sign obstacle problem from the free boundary, based on Weiss-monotonicity formula. In presenting the approach we have chosen to treat a problem which is not touched earlier in the existing literature. Although earlier techniques may still work for this problem, we believe this approach gives a shorter proof, and may have wider applications.
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# References

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