Potential estimates and applications to elliptic equations

Farman  Mamedov; Sara  Monsurrò; Maria  Transirico

doi:10.3934/proc.2015.0793

Article Contents

2015, Volume 2015: 793-800. Doi: 10.3934/proc.2015.0793 open access

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Potential estimates and applications to elliptic equations

1.
Mathematics and Mechanics Institute, Nat. Acad. Sci. of Azerbaijan, Az1001, 10, Istiglaliyyat str, Baku
2.
Dipartimento di Matematica, Università di Salerno, via Giovanni Paolo II, 132, 84084 Fisciano (SA)

Received: August 31, 2014

Revised: February 28, 2015

Published: October 2015

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Abstract

In this paper we prove a potential type estimate for the solutions of some classes of Dirichlet problems associated to certain non divergence structure elliptic equations with smooth datum. As a consequence of our potential bound, we can get an a priori estimate for the solutions of the same kind of Dirichlet problem, but with less regular datum.

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Mathematics Subject Classification: Primary: 35J25, 35B45; Secondary: 31B10.

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References

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