Geodesic
Positive solutions for indefinite inhomogeneous Neumann elliptic problems
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Il'yasov, Yavdat and Runst, Thomas},
     title = {Positive solutions for indefinite inhomogeneous {Neumann} elliptic problems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a14/}
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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/