The Existence and Uniqueness Result for a Relativistic Nonlinear Schrödinger Equation

Yongkuan Cheng; Jun Yang

doi:10.1155/2014/362985

Abstract and Applied Analysis (Jan 2014)

The Existence and Uniqueness Result for a Relativistic Nonlinear Schrödinger Equation

Yongkuan Cheng,
Jun Yang

Affiliations

Yongkuan Cheng: Department of Mathematics, South China University of Technology, Guangzhou, Guangdong 510640, China
Jun Yang: Department of Mathematics, South China University of Technology, Guangzhou, Guangdong 510640, China

DOI: https://doi.org/10.1155/2014/362985
Journal volume & issue: Vol. 2014

Abstract

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We study the existence and uniqueness of positive solutions for a class of quasilinear elliptic equations. This model has been proposed in the self-channeling of a high-power ultrashort laser in matter.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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