Geometrically Distinct Solutions for a class of quasilinear Schrodinger equation with critical growth

Proceedings of the 2015 International Industrial Informatics and Computer Engineering Conference（2015）

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摘要

In this paper, we consider the quasilinear Schrodinger equation with critical growth -Delta u - lambda u Delta u(2) + V(x)u = vertical bar u vertical bar(22)*(-2) u + g(x,u), x is an element of (sic)(N). We employ the perturbation approach developed by Xiangqing Liu [9] and the generalized linking approach and obtain the infinitely many geometrically distinct solutions.

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关键词

quasilinear Schrodinger equation,critical growth,geometrically distinct solutions,perturbation approach

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