Multiplicity of positive solutions for a Navier boundary-value problem involving the \(p\)-biharmonic with critical exponent
Electronic journal of differential equations, Tome 2011 (2011)
By using the Nehari manifold and variational methods, we prove that a p-biharmonic system has at least two positive solutions when the pair the parameters satisfy certain inequality.
Classification :
35J40, 35J67
Keywords: p-biharmonic system, Navier condition, Nehari manifold, critical exponent
Keywords: p-biharmonic system, Navier condition, Nehari manifold, critical exponent
@article{EJDE_2011__2011__a62,
author = {Shen, Ying and Zhang, Jihui},
title = {Multiplicity of positive solutions for a {Navier} boundary-value problem involving the \(p\)-biharmonic with critical exponent},
journal = {Electronic journal of differential equations},
year = {2011},
volume = {2011},
zbl = {1215.35062},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a62/}
}
TY - JOUR AU - Shen, Ying AU - Zhang, Jihui TI - Multiplicity of positive solutions for a Navier boundary-value problem involving the \(p\)-biharmonic with critical exponent JO - Electronic journal of differential equations PY - 2011 VL - 2011 UR - http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a62/ LA - en ID - EJDE_2011__2011__a62 ER -
%0 Journal Article %A Shen, Ying %A Zhang, Jihui %T Multiplicity of positive solutions for a Navier boundary-value problem involving the \(p\)-biharmonic with critical exponent %J Electronic journal of differential equations %D 2011 %V 2011 %U http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a62/ %G en %F EJDE_2011__2011__a62
Shen, Ying; Zhang, Jihui. Multiplicity of positive solutions for a Navier boundary-value problem involving the \(p\)-biharmonic with critical exponent. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a62/