Geodesic
Multiplicity of solutions for elliptic boundary value problems
Electronic journal of differential equations, Tome 2014 (2014)
In this article, we study the existence of infinitely many solutions for the semilinear elliptic equation $-\Delta u+a(x)u=f(x,u)$ in a bounded domain of $\mathbb{R}^N(N\geq 3)$ with the Dirichlet boundary conditions, where the primitive of the nonlinearity f is either superquadratic at infinity or subquadratic at zero.
Classification : 34C25, 35B38, 47J30
Keywords: elliptic boundary value problems, critical points, cerami sequence, Fountain theorem, symmetric mountain pass lemma 
@article{EJDE_2014__2014__a121,
     author = {Ye,  Yiwei and Tang,  Chun-Lei},
     title = {Multiplicity of solutions for elliptic boundary value problems},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1302.35175},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a121/}
}
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AU  - Tang,  Chun-Lei
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%A Tang,  Chun-Lei
%T Multiplicity of solutions for elliptic boundary value problems
%J Electronic journal of differential equations
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%V 2014
%U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a121/
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%F EJDE_2014__2014__a121
Ye,  Yiwei; Tang,  Chun-Lei. Multiplicity of solutions for elliptic boundary value problems. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a121/