Liouville type theorems for φ-subharmonic functions.

Marco Rigoli; Alberto G. Setti

Revista Matemática Iberoamericana (2001)

  • Volume: 17, Issue: 3, page 471-520
  • ISSN: 0213-2230

Abstract

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In this paper we present some Liouville type theorems for solutions of differential inequalities involving the φ-Laplacian. Our results, in particular, improve and generalize known results for the Laplacian and the p-Laplacian, and are new even in these cases. Phragmen-Lindeloff type results, and a weak form of the Omori-Yau maximum principle are also discussed.

How to cite

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Rigoli, Marco, and Setti, Alberto G.. "Liouville type theorems for φ-subharmonic functions.." Revista Matemática Iberoamericana 17.3 (2001): 471-520. <http://eudml.org/doc/39656>.

@article{Rigoli2001,
abstract = {In this paper we present some Liouville type theorems for solutions of differential inequalities involving the φ-Laplacian. Our results, in particular, improve and generalize known results for the Laplacian and the p-Laplacian, and are new even in these cases. Phragmen-Lindeloff type results, and a weak form of the Omori-Yau maximum principle are also discussed.},
author = {Rigoli, Marco, Setti, Alberto G.},
journal = {Revista Matemática Iberoamericana},
keywords = {Teoremas de Liouville; Función subarmónica; Operadores diferenciales; Variedad riemanniana; weak maximum principle; Phragmen-Lindelöff type results},
language = {eng},
number = {3},
pages = {471-520},
title = {Liouville type theorems for φ-subharmonic functions.},
url = {http://eudml.org/doc/39656},
volume = {17},
year = {2001},
}

TY - JOUR
AU - Rigoli, Marco
AU - Setti, Alberto G.
TI - Liouville type theorems for φ-subharmonic functions.
JO - Revista Matemática Iberoamericana
PY - 2001
VL - 17
IS - 3
SP - 471
EP - 520
AB - In this paper we present some Liouville type theorems for solutions of differential inequalities involving the φ-Laplacian. Our results, in particular, improve and generalize known results for the Laplacian and the p-Laplacian, and are new even in these cases. Phragmen-Lindeloff type results, and a weak form of the Omori-Yau maximum principle are also discussed.
LA - eng
KW - Teoremas de Liouville; Función subarmónica; Operadores diferenciales; Variedad riemanniana; weak maximum principle; Phragmen-Lindelöff type results
UR - http://eudml.org/doc/39656
ER -

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