Geodesic
Positive solutions for indefinite inhomogeneous Neumann elliptic problems
Electronic journal of differential equations, Tome 2003 (2003)
We consider a class of inhomogeneous Neumann boundary-value problems on a compact Riemannian manifold with boundary where indefinite and critical nonlinearities are included. We introduce a new and, in some sense, more general variational approach to these problems. Using this idea we prove new results on the existence and multiplicity of positive solutions.
Classification : 35J70, 35J65, 47H17
Keywords: p-Laplacian, nonlinear boundary conditions, indefinite and critical nonlinearities 
@article{EJDE_2003__2003__a14,
     author = {Il'yasov,  Yavdat and Runst,  Thomas},
     title = {Positive solutions for indefinite inhomogeneous {Neumann} elliptic problems},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1109.35337},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a14/}
}
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%A Runst,  Thomas
%T Positive solutions for indefinite inhomogeneous Neumann elliptic problems
%J Electronic journal of differential equations
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Il'yasov,  Yavdat; Runst,  Thomas. Positive solutions for indefinite inhomogeneous Neumann elliptic problems. Electronic journal of differential equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a14/