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Multiple Solutions for a Class of Neumann Elliptic Problems on Compact Riemannian Manifolds with Boundary

Published online by Cambridge University Press:  20 November 2018

Alexandru Kristály ,
Nikolaos S. Papageorgiou  and
Csaba Varga
Alexandru Kristály
Affiliation:
Babeş-Bolyai University, Department of Economics, 400591 Cluj-Napoca, Romania e-mail: alexandrukristaly@yahoo.com
Nikolaos S. Papageorgiou
Affiliation:
National Technical University, Department of Mathematics, Zografou Campus, Athens, 15780, Greece e-mail: npapg@math.ntua.gr
Csaba Varga
Affiliation:
Babeş-Bolyai University, Faculty of Mathematics and Computer Science, 400084 Cluj-Napoca, Romania e-mail: csvarga@cs.ubbcluj.ro
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Abstract

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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.

Keywords

58J0535P30Riemannian manifold with boundaryNeumann problemsublinearity at infinitymultiple solutions
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 4 , 01 December 2010 , pp. 674 - 683
Copyright
Copyright © Canadian Mathematical Society 2010

References

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