TY - JOUR AU - Il'yasov, Yavdat AU - Runst, Thomas PY - 2004/09/01 Y2 - 2024/03/28 TI - On positive solutions of indefinite inhomogeneous Neumann boundary value problems JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 24 IS - 1 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2004.019 SP - 41 - 67 AB - In this paper, we study aclass of inhomogeneous Neumann boundary value problems ona compact Riemannian manifold with boundary whereindefinite and critical nonlinearities are included.Applying the fibering approach we introduce a new and, insome sense, more general variational approach to theseproblems. Using this idea we prove new results on theexistence and multiplicity of positive solutions. ER -