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What is Critical Point Theory in Variational Problems about?

The document summarizes recent advances in critical point theory and applications to elliptic problems on Rn. It presents an abstract framework that provides a unified approach to problems like finding positive solutions to elliptic equations on Rn, including the prescribed scalar curvature problem. The framework studies functionals fε of the form fε(u) = f0(u) + εG(u), where f0 has a finite-dimensional critical manifold Z satisfying properties (A1)-(A3). The framework guarantees a critical point uε of fε

Author

paqsori

Language

EN