Multiplicity results for positive solutions to non-autonomous elliptic problems
Electronic journal of differential equations, Tome 1999 (1999)
We are concerned with the multiplicity of positive solutions for non-autonomous elliptic equations with Dirichlet and Neumann boundary conditions. Using Ljusternik-Schnirelmann theory, we show that the number of solutions is affected by the shape of the potential functions.
Classification : 35J15
Keywords: multiplicity of solutions, non-autonomous equations, Ljusternik-Schnirelmann category
@article{EJDE_1999__1999__a71,
     author = {Qiao,  Ning and Wang,  Zhi-Qiang},
     title = {Multiplicity results for positive solutions to non-autonomous elliptic problems},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0928.35058},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a71/}
}
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JO  - Electronic journal of differential equations
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%A Wang,  Zhi-Qiang
%T Multiplicity results for positive solutions to non-autonomous elliptic problems
%J Electronic journal of differential equations
%D 1999
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%G en
%F EJDE_1999__1999__a71
Qiao,  Ning; Wang,  Zhi-Qiang. Multiplicity results for positive solutions to non-autonomous elliptic problems. Electronic journal of differential equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a71/