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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2011; 48(6): 1269-1283

Printed November 1, 2011

https://doi.org/10.4134/JKMS.2011.48.6.1269

Copyright © The Korean Mathematical Society.

Multiple solutions for quasilinear elliptic equations with critical growth

Youjun Wang

Tsinghua University

Abstract

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For a class of quasilinear elliptic equations we establish the existence of multiple solutions by variational methods.

Keywords: quasilinear Schr\"odingers equation, critical growth, minmax procedure

MSC numbers: 35J20, 35J60

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