On the compactness threshold in the critical Kirchhoff equation
Erisa Hasani (Florida Institute of Technology)
Abstract: We study a class of critical Kirchhoff problems with a general nonlocal term. The main difficulty here is the absence of a closed-form formula for the compactness threshold. First we obtain a variational characterization of this threshold level. Then we prove a series of existence and multiplicity results based on this variational characterization.
analysis of PDEsclassical analysis and ODEsfunctional analysismetric geometry
Audience: researchers in the topic
Series comments: Description: A senior graduate student/postdoc series in harmonic analysis, geometric measure theory, and partial differential equations.
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