Il'yasov, YavdatRunst, Thomas2020-11-232020-11-232003-05-19Il'yasov, Y., & Runst, T. (2003). Positive solutions for indefinite inhomogeneous Neumann elliptic problems. <i>Electronic Journal of Differential Equations, 2003</i>(57), pp. 1-21.1072-6691https://hdl.handle.net/10877/12997We 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.Text21 pages1 file (.pdf)enAttribution 4.0 Internationalp-LaplacianNonlinear boundary conditionsIndefinite and critical nonlinearitiesArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.