Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth

Yinbin Deng; Shuangjie Peng; Shusen Yan

doi:10.1016/j.jde.2014.09.006

Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth

Yinbin Deng
, Shuangjie Peng
, Shusen Yan

Mathematics

Research output: Contribution to journal › Article › peer-review

123 Citations (Scopus)

Abstract

This paper is concerned with the positive solutions for generalized quasilinear Schrödinger equations in R'N' with critical growth which have appeared from plasma physics, as well as high-power ultrashort laser in matter. By using a change of variables and variational argument, we obtain the existence of positive solutions for the given problem.

Original language	English
Pages (from-to)	115-147
Journal	Journal of Differential Equations
Volume	258
Issue number	1
DOIs	https://doi.org/10.1016/j.jde.2014.09.006
Publication status	Published - 2015

Keywords

Partial Differential Equations

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10.1016/j.jde.2014.09.006

https://hdl.handle.net/1959.11/17498

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title = "Positive soliton solutions for generalized quasilinear Schr{\"o}dinger equations with critical growth",

abstract = "This paper is concerned with the positive solutions for generalized quasilinear Schr{\"o}dinger equations in R'N' with critical growth which have appeared from plasma physics, as well as high-power ultrashort laser in matter. By using a change of variables and variational argument, we obtain the existence of positive solutions for the given problem.",

keywords = "Partial Differential Equations",

author = "Yinbin Deng and Shuangjie Peng and Shusen Yan",

year = "2015",

doi = "10.1016/j.jde.2014.09.006",

language = "English",

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journal = "Journal of Differential Equations",

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T1 - Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth

AU - Deng, Yinbin

AU - Peng, Shuangjie

AU - Yan, Shusen

PY - 2015

Y1 - 2015

N2 - This paper is concerned with the positive solutions for generalized quasilinear Schrödinger equations in R'N' with critical growth which have appeared from plasma physics, as well as high-power ultrashort laser in matter. By using a change of variables and variational argument, we obtain the existence of positive solutions for the given problem.

AB - This paper is concerned with the positive solutions for generalized quasilinear Schrödinger equations in R'N' with critical growth which have appeared from plasma physics, as well as high-power ultrashort laser in matter. By using a change of variables and variational argument, we obtain the existence of positive solutions for the given problem.

KW - Partial Differential Equations

U2 - 10.1016/j.jde.2014.09.006

DO - 10.1016/j.jde.2014.09.006

M3 - Article

SN - 0022-0396

VL - 258

SP - 115

EP - 147

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth

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