Multibump solutions for quasilinear elliptic equations with critical growth
Journal Article
·
· Journal of Mathematical Physics
- LMAM, School of Mathematical Science, Peking University, Beijing 100871 (China)
- 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)
- Department of Mathematics, Yunnan Normal University, Kunming, Yunnan 650092 (China)
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.
- OSTI ID:
- 22251783
- Journal Information:
- Journal of Mathematical Physics, Vol. 54, Issue 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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