Non-existence result for quasi-linear elliptic equations with supercritical growth

Zuo Dong Yang; Junli Yuan

Commentationes Mathematicae Universitatis Carolinae (2007)

  • Volume: 48, Issue: 3, page 417-430
  • ISSN: 0010-2628

Abstract

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We obtain a non-existence result for a class of quasi-linear eigenvalue problems when a parameter is small. By using Pohozaev identity and some comparison arguments, non-existence theorems are established for quasi-linear eigenvalue problems under supercritical growth condition.

How to cite

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Yang, Zuo Dong, and Yuan, Junli. "Non-existence result for quasi-linear elliptic equations with supercritical growth." Commentationes Mathematicae Universitatis Carolinae 48.3 (2007): 417-430. <http://eudml.org/doc/250202>.

@article{Yang2007,
abstract = {We obtain a non-existence result for a class of quasi-linear eigenvalue problems when a parameter is small. By using Pohozaev identity and some comparison arguments, non-existence theorems are established for quasi-linear eigenvalue problems under supercritical growth condition.},
author = {Yang, Zuo Dong, Yuan, Junli},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {quasi-linear elliptic equations; non-existence; large solution; small solution; quasi-linear elliptic equations; non-existence; large solution; small solution},
language = {eng},
number = {3},
pages = {417-430},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Non-existence result for quasi-linear elliptic equations with supercritical growth},
url = {http://eudml.org/doc/250202},
volume = {48},
year = {2007},
}

TY - JOUR
AU - Yang, Zuo Dong
AU - Yuan, Junli
TI - Non-existence result for quasi-linear elliptic equations with supercritical growth
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2007
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 48
IS - 3
SP - 417
EP - 430
AB - We obtain a non-existence result for a class of quasi-linear eigenvalue problems when a parameter is small. By using Pohozaev identity and some comparison arguments, non-existence theorems are established for quasi-linear eigenvalue problems under supercritical growth condition.
LA - eng
KW - quasi-linear elliptic equations; non-existence; large solution; small solution; quasi-linear elliptic equations; non-existence; large solution; small solution
UR - http://eudml.org/doc/250202
ER -

References

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