Description

• Title:
  Nodal solutions for a nonhomogeneous elliptic equation with symmetry
• Creator:
  Furtado, Marcelo F.
• Description:
  We consider the semilinear problem $-\Delta u + \lambda u =|u|^{p-2}u + f(u)$ in $\Omega$, $u=0$ on $\partial \Omega$ where $\Omega \subset {\mathbb R}^N$ is a bounded smooth domain, $2< p< 2^*=2N/(N-2)$ and $f(t)$ behaves like $t^{p-1-\varepsilon}$ at infinity. We show that if $\Omega$ is invariant by a nontrivial orthogonal involution then, for $\lambda> 0$ sufficiently large, the equivariant topology of $\Omega$ is related with the number of solutions which change sign exactly once. The results are proved by using equivariant Lusternik-Schnirelmann theory.
• Object availability:
  free access
• Prawa:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Data:
  2007.03.01
• Typ:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Język:
  English
• Źródło:
  Topological Methods in Nonlinear Analysis; Vol 29, No 1 (March 2007); 69 - 78;
  1230-3429
• Wydawca:
  Nicolaus Copernicus University in Toruń
• Relacja: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.004/8829
• Temat i słowa kluczowe:
  Nodal solutions;
  equivariant category;
  symmetry;
  35J25;
  35J60;
  58E05
• Identyfikator: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.004
• Dostawca danych:
  Akademicka Platforma Czasopism
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