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Title: Multibump solutions for quasilinear elliptic equations with critical growth

The current paper is concerned with constructing multibump solutions for a class of quasilinear Schrödinger equations with critical growth. This extends the classical results of Coti Zelati and Rabinowitz [Commun. Pure Appl. Math. 45, 1217–1269 (1992)] for semilinear equations as well as recent work of Liu, Wang, and Guo [J. Funct. Anal. 262, 4040–4102 (2012)] for quasilinear problems with subcritical growth. The periodicity of the potentials is used to glue ground state solutions to construct multibump bound state solutions.
Authors:
 [1] ;  [2] ;  [3]
  1. LMAM, School of Mathematical Science, Peking University, Beijing 100871 (China)
  2. Chern Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China and Department of Mathematics and Statistics, Utah State University, Logan, Utah 84322 (United States)
  3. Department of Mathematics, Yunnan Normal University, Kunming, Yunnan 650092 (China)
Publication Date:
OSTI Identifier:
22251783
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUND STATE; EQUATIONS; GROUND STATES; MATHEMATICAL SOLUTIONS; PERIODICITY; POTENTIALS; QUASILINEAR PROBLEMS