On the topological dimension of the solution set of a class of nonlocal elliptic problems

Francesca Faraci, Antonio Iannizzotto

Abstract


We 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.

Keywords


Nonlocal boundary value problems; dimension theory

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