Description

• Title:
  A multiplicity result for a semilinear Maxwell type equation
• Creator:
  Azzollini, Antonio
• Description:
  In this paper we look for solutions of the equation $$ \delta d\text{\bf A}=f'(\langle\text{\bf A},\text{\bf A}\rangle)\text{\bf A}\quad \text{in }\mathbb R^{2k}, $$ where $\text{\bf A}$ is a $1$-differential form and $k\geq 2$. These solutions are critical points of a functional which is strongly indefinite because of the presence of the differential operator $\delta d$. We prove that, assuming a suitable convexity condition on the nonlinearity, the equation possesses infinitely many finite energy solutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2008.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 31, No 1 (March 2008); 83 - 110;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.005/8769
• Subject:
  Semilinear Maxwell equations;
  strongly indefinite functional;
  Strong convexity;
  35F20;
  35J50;
  35C15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.005
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other