Proceedings of the 2017 2nd International Conference on Materials Science, Machinery and Energy Engineering (MSMEE 2017)

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Nonlinear biharmonic equation with Hardy-Sobolev potential

Authors
Xibing He, Yupei Zhang
Corresponding Author
Xibing He
Available Online May 2017.
DOI
10.2991/msmee-17.2017.304How to use a DOI?
Keywords
Biharmonic equation; Cerami condition; Fountain theorem; Sobolev-Hardy inequality
Abstract

This paper deals with the Dirichlet problem of a superlinear biharmonic equation with Hardy-Sobolev potential, where the nonlinearity is odd. By Fountain theorem with Cerami condition and Sobolev-Hardy inequality, we get the existence of nontrivial solutions for the problem.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2017 2nd International Conference on Materials Science, Machinery and Energy Engineering (MSMEE 2017)
Series
Advances in Engineering Research
Publication Date
May 2017
ISBN
10.2991/msmee-17.2017.304
ISSN
2352-5401
DOI
10.2991/msmee-17.2017.304How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Xibing He
AU  - Yupei Zhang
PY  - 2017/05
DA  - 2017/05
TI  - Nonlinear biharmonic equation with Hardy-Sobolev potential
BT  - Proceedings of the 2017 2nd International Conference on Materials Science, Machinery and Energy Engineering (MSMEE 2017)
PB  - Atlantis Press
SP  - 1678
EP  - 1684
SN  - 2352-5401
UR  - https://doi.org/10.2991/msmee-17.2017.304
DO  - 10.2991/msmee-17.2017.304
ID  - He2017/05
ER  -