Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Existence of a ground state solution for a class of $p$-laplace‎ ‎equations

Document Type : Research Paper

Author
Department of Hengyang normal university
Abstract
 According to a class of constrained‎
‎minimization problems‎, ‎the Schwartz symmetrization process and the‎
‎compactness lemma of Strauss‎, ‎we prove that there is a‎
‎nontrivial ground state solution for a class of $p$-Laplace‎
‎equations without the Ambrosetti-Rabinowitz condition‎.
Keywords
Subjects

Volume 40, Issue 5 - Serial Number 5
October 2014
Pages 1087-1095

  • Receive Date 08 February 2013
  • Revise Date 28 July 2013
  • Accept Date 28 July 2013