Geodesic
A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures
Electronic journal of differential equations, Tome 2001 (2001)
We consider a noncoercive elliptic problem in a bounded domain with a power nonlinearity and measure data. It is known that the problem possesses a stable solution and we prove existence of three further solutions. The proof is based on uniform bounds of global solutions of the corresponding parabolic problem and on a topological degree argument.
Classification : 35B45, 35J65, 35K60
Keywords: superlinear parabolic equation, semilinear elliptic equation, multiplicity, singular solutions 
@article{EJDE_2001__2001__a23,
     author = {Quittner,  Pavol},
     title = {A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {1068.35505},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a23/}
}
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%A Quittner,  Pavol
%T A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures
%J Electronic journal of differential equations
%D 2001
%V 2001
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Quittner,  Pavol. A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a23/