On the topological dimension of the solution set of a class of nonlocal elliptic problems
KeywordsNonlocal boundary value problems, dimension theory
AbstractWe study a Dirichlet problem for an elliptic equation of resonant type involving a general nonlocal term. Using a result of Ricceri, we prove that the solution set for such equation has a positive topological dimension, and contains a nondegenerate connected component. In particular, the solution set has the cardinality of the continuum.
How to Cite
FARACI, Francesca & IANNIZZOTTO, Antonio. On the topological dimension of the solution set of a class of nonlocal elliptic problems. Topological Methods in Nonlinear Analysis [online]. 1 September 2013, T. 42, nr 1, s. 1–8. [accessed 2.12.2021].
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