Quasilinear elliptic equations via perturbation method

Liu, Xiang-Qing; Liu, Jia-Quan; Wang, Zhi-Qiang

doi:10.1090/S0002-9939-2012-11293-6

Quasilinear elliptic equations via perturbation method
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by Xiang-Qing Liu, Jia-Quan Liu and Zhi-Qiang Wang

Proc. Amer. Math. Soc. 141 (2013), 253-263

DOI: https://doi.org/10.1090/S0002-9939-2012-11293-6

Published electronically: May 9, 2012

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Abstract:

We present a new approach to studying a class of quasilinear problems including the so-called Modified Nonlinear Schrödinger Equations (MNLS). We show that solutions of quasilinear equations can be obtained as limits of $4$-Laplacian perturbations.

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