# Multibump solutions for quasilinear elliptic equations with critical growth

@article{Liu2013MultibumpSF, title={Multibump solutions for quasilinear elliptic equations with critical growth}, author={Jiaquan Liu and Zhi-Qiang Wang and Xian Wu}, journal={Journal of Mathematical Physics}, year={2013}, volume={54}, pages={121501} }

The current paper is concerned with constructing multibump solutions for a class of quasilinear Schrodinger 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…

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