CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Publications → journals → CMB
Publications        
Abstract view

Multiple Solutions for a Class of Neumann Elliptic Problems on Compact Riemannian Manifolds with Boundary
  Published:2010-07-26
 Printed: Dec 2010
Canadian Mathematical Bulletin
  • Alexandru Kristály,
    Babeş-Bolyai University, Department of Economics, 400591 Cluj-Napoca, Romania
  • Nikolaos S. Papageorgiou,
    National Technical University, Department of Mathematics, Zografou Campus, Athens, 15780, Greece
  • Csaba Varga,
    Babeş-Bolyai University, Faculty of Mathematics and Computer Science, 400084 Cluj-Napoca, Romania
Format:   HTML   LaTeX   MathJax   PDF  

Abstract

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: Riemannian manifold with boundary, Neumann problem, sublinearity at infinity, multiple solutions Riemannian manifold with boundary, Neumann problem, sublinearity at infinity, multiple solutions
MSC Classifications: 58J05, 35P30 show english descriptions Elliptic equations on manifolds, general theory [See also 35-XX]
Nonlinear eigenvalue problems, nonlinear spectral theory 58J05 - Elliptic equations on manifolds, general theory [See also 35-XX]
35P30 - Nonlinear eigenvalue problems, nonlinear spectral theory
 
© Canadian Mathematical Society, 2013 : http://www.cms.math.ca/