Description

• Title:
  Existence of periodic solutions for some singular elliptic equations with strong resonant data
• Creator:
  Gonella, Laura
• Description:
  We prove the existence of at least one $T$-periodic solution $(T> 0)$ for differential equations of the form $$ \left(\frac{u'(t)}{\sqrt{1-{u'}^2(t)}}\right)' =f(u(t))+h(t),\quad \text{in } (0,T), $$ where $f$ is a continuous function defined on $\mathbb{R}$ that satisfies a {\it strong resonance condition}, $h$ is continuous and with zero mean value. Our method uses variational techniques for nonsmooth functionals.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.04.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 43, No 1 (March 2014); 157 - 170;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.010/8124
• Subject:
  $\Phi$-laplacian;
  strong resonance condition;
  periodic solutions;
  34B15;
  49J52;
  49J40
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.010
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other