Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations.

Neil S. Trudinger

Revista Matemática Iberoamericana (1988)

  • Volume: 4, Issue: 3-4, page 453-468
  • ISSN: 0213-2230

Abstract

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We prove comparison principles for viscosity solutions of nonlinear second order, uniformly elliptic equations, which extend previous results of P. L. Lions, R. Jensen and H. Ishii. Some basic pointwise estimates for classical solutions are also extended to continuous viscosity solutions.

How to cite

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Trudinger, Neil S.. "Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations.." Revista Matemática Iberoamericana 4.3-4 (1988): 453-468. <http://eudml.org/doc/39368>.

@article{Trudinger1988,
abstract = {We prove comparison principles for viscosity solutions of nonlinear second order, uniformly elliptic equations, which extend previous results of P. L. Lions, R. Jensen and H. Ishii. Some basic pointwise estimates for classical solutions are also extended to continuous viscosity solutions.},
author = {Trudinger, Neil S.},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones diferenciales elípticas; Viscosidad; viscosity solution; fully nonlinear elliptic differential equations; comparison principle; semiconvex; Alexandrov maximum principle; Monge- Ampère equation; Harnack inequality},
language = {eng},
number = {3-4},
pages = {453-468},
title = {Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations.},
url = {http://eudml.org/doc/39368},
volume = {4},
year = {1988},
}

TY - JOUR
AU - Trudinger, Neil S.
TI - Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations.
JO - Revista Matemática Iberoamericana
PY - 1988
VL - 4
IS - 3-4
SP - 453
EP - 468
AB - We prove comparison principles for viscosity solutions of nonlinear second order, uniformly elliptic equations, which extend previous results of P. L. Lions, R. Jensen and H. Ishii. Some basic pointwise estimates for classical solutions are also extended to continuous viscosity solutions.
LA - eng
KW - Ecuaciones diferenciales elípticas; Viscosidad; viscosity solution; fully nonlinear elliptic differential equations; comparison principle; semiconvex; Alexandrov maximum principle; Monge- Ampère equation; Harnack inequality
UR - http://eudml.org/doc/39368
ER -

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