Description

• Title:
  Partial minimization over the Nehari set and applications to elliptic equations
• Creator:
  Chavez, Omar Cabrera
• Description:
  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.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Omar Cabrera Chavez
• Date:
  2024.06.16
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 63, No 2 (June 2024); 559 - 593;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/52718/38779 ;https://apcz.umk.pl/TMNA/article/view/52718/38780
• Subject:
  Elliptic partial differential equatio;
  logarithmic Choquard equation;
  nonlinear Schrödinger equation;
  Nehari manifold;
  ground states;
  Primary: 35J47, 35J20;
  Secondary: 35Q55
• Identifier: https://apcz.umk.pl/TMNA/article/view/52718
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other