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NONSMOOTH CRITICAL POINT THEOREMS AND ITS APPLICATIONS TO QUASILINEAR SCHRDINGER EQUATIONS 被引量：5

NONSMOOTH CRITICAL POINT THEOREMS AND ITS APPLICATIONS TO QUASILINEAR SCHRDINGER EQUATIONS
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摘要 In this paper, the existence and nonexistence of solutions to a class of quasilinear elliptic equations with nonsmooth functionals are discussed, and the results obtained are applied to quasilinear SchrSdinger equations with negative parameter which arose from the study of self-channeling of high-power ultrashort laser in matter. In this paper, the existence and nonexistence of solutions to a class of quasilinear elliptic equations with nonsmooth functionals are discussed, and the results obtained are applied to quasilinear SchrSdinger equations with negative parameter which arose from the study of self-channeling of high-power ultrashort laser in matter.
作者 李周欣 沈尧天
机构地区 School of Mathematics and Statistics Department of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2016年第1期73-86,共14页 数学物理学报（B辑英文版）
基金 supported by NSF of China(11201488),supported by NSF of China(11371146) Hunan Provincial Natural Science Foundation of China(14JJ4002)
关键词 nonsmooth critical point theorems quasilinear elliptic equations SchrSdingerequation nonsmooth critical point theorems quasilinear elliptic equations SchrSdingerequation
分类号 O175.25 [理学—基础数学] O413.1 [理学—理论物理]
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参考文献28

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Acta Mathematica Scientia
2016年 第1期

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