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
@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/}
}
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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/