Geodesic
Multiplicity of solutions to the sum of polyharmonic equations with critical Sobolev exponents
Electronic journal of differential equations, Tome 2015 (2015)
In this article, we prove multiplicity of solutions for the sum of polyharmonic equation with critical Sobolev exponent. The proof is based upon the methods of weakly lower semi-continuous of the functionals and the Mountain Pass Lemma without (PS) conditions.
Classification : 35J30, 35J60
Keywords: polyharmonic equation, multiple solutions, critical Sobolev exponent 
@article{EJDE_2015__2015__a15,
     author = {Liu,  Wei and Jia,  Gao and Guo,  Lu-Quian},
     title = {Multiplicity of solutions to the sum of polyharmonic equations with critical {Sobolev} exponents},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1315.35081},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a15/}
}
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Liu,  Wei; Jia,  Gao; Guo,  Lu-Quian. Multiplicity of solutions to the sum of polyharmonic equations with critical Sobolev exponents. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a15/