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

Revista Matemática Iberoamericana (1988)

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

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topTrudinger, 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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