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
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/}
}
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/