Geodesic
Multiple Solutions for a Class of Neumann Elliptic Problems on Compact Riemannian Manifolds with Boundary
Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 674-683

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DOI

We study a semilinear elliptic problem on a compact Riemannian manifold with boundary, subject to an inhomogeneous Neumann boundary condition. Under various hypotheses on the nonlinear terms, depending on their behaviour in the origin and infinity, we prove multiplicity of solutions by using variational arguments.
DOI : 10.4153/CMB-2010-073-x
Mots-clés : 58J05, 35P30, Riemannian manifold with boundary, Neumann problem, sublinearity at infinity, multiple solutions 
Kristály, Alexandru; Papageorgiou, Nikolaos S.; Varga, Csaba. Multiple Solutions for a Class of Neumann Elliptic Problems on Compact Riemannian Manifolds with Boundary. Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 674-683. doi: 10.4153/CMB-2010-073-x
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     author = {Krist\'aly, Alexandru and Papageorgiou, Nikolaos S. and Varga, Csaba},
     title = {Multiple {Solutions} for a {Class} of {Neumann} {Elliptic} {Problems} on {Compact} {Riemannian} {Manifolds} with {Boundary}},
     journal = {Canadian mathematical bulletin},
     pages = {674--683},
     year = {2010},
     volume = {53},
     number = {4},
     doi = {10.4153/CMB-2010-073-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-073-x/}
}
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