Endpoint and Intermediate Potential Estimates for Nonlinear Equations

Tuomo Kuusi; Giuseppe Mingione

Bollettino dell'Unione Matematica Italiana (2011)

  • Volume: 4, Issue: 1, page 149-157
  • ISSN: 0392-4041

Abstract

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We describe a few results obtained in [10], concerning the possibility of estimating solutions of quasilinear elliptic equations via nonlinear potentials.

How to cite

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Kuusi, Tuomo, and Mingione, Giuseppe. "Endpoint and Intermediate Potential Estimates for Nonlinear Equations." Bollettino dell'Unione Matematica Italiana 4.1 (2011): 149-157. <http://eudml.org/doc/290718>.

@article{Kuusi2011,
abstract = {We describe a few results obtained in [10], concerning the possibility of estimating solutions of quasilinear elliptic equations via nonlinear potentials.},
author = {Kuusi, Tuomo, Mingione, Giuseppe},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {149-157},
publisher = {Unione Matematica Italiana},
title = {Endpoint and Intermediate Potential Estimates for Nonlinear Equations},
url = {http://eudml.org/doc/290718},
volume = {4},
year = {2011},
}

TY - JOUR
AU - Kuusi, Tuomo
AU - Mingione, Giuseppe
TI - Endpoint and Intermediate Potential Estimates for Nonlinear Equations
JO - Bollettino dell'Unione Matematica Italiana
DA - 2011/2//
PB - Unione Matematica Italiana
VL - 4
IS - 1
SP - 149
EP - 157
AB - We describe a few results obtained in [10], concerning the possibility of estimating solutions of quasilinear elliptic equations via nonlinear potentials.
LA - eng
UR - http://eudml.org/doc/290718
ER -

References

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  11. MANFREDI, J. J., Regularity of the gradient for a class of nonlinear possibly degenerate elliptic equations, Ph. D. Thesis, University of Washington, St. Louis. 
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  13. MINGIONE, G., The Calderón-Zygmund theory for elliptic problems with measure data, Ann. Scu. Norm. Sup. Pisa Cl. Sci. (V), 6 (2007), 195-261. Zbl1178.35168MR2352517
  14. MINGIONE, G., Gradient estimates below the duality exponent, Math. Ann., 346 (2010), 571-627. Zbl1193.35077MR2578563DOI10.1007/s00208-009-0411-z
  15. MINGIONE, G., Gradient potential estimates, J. European Math. Soc., 13 (2011), 459-486. Zbl1217.35077MR2746772DOI10.4171/JEMS/258
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