Abstract
We present a general scheme to find variationally characterized critical points of a functional $I\colon H \to \mathbb{R}$ on a Hilbert space $H$ with hypothesis where the usual Nehari method is not directly applicable. These critical points arise as minima of $I$ over a suitable subset of the associated Nehari set and are obtained with the aid of fibering methods. Moreover, we derive a comparison result with mountain pass critical values. The abstract results will be applied to classes of logarithmic Choquard and nonlinear Schrödinger equations.
Citation
Omar Cabrera Chavez. "Partial minimization over the Nehari set and applications to elliptic equations." Topol. Methods Nonlinear Anal. 63 (2) 559 - 593, 2024. https://doi.org/10.12775/TMNA.2023.031
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