Positive solutions for indefinite inhomogeneous Neumann elliptic problems
Date
2003-05-19
Authors
Il'yasov, Yavdat
Runst, Thomas
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
p-Laplacian, Nonlinear boundary conditions, Indefinite and critical nonlinearities
Citation
Il'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.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.