Existence of solutions for a nonlocal problem arising in plasma physics

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:256

Article

Zou, Weilin¹  Li, Fengquan²  Liu, Minghui³  Lv, Boqiang¹ 

[1] Nanchang Hangkong Univ, Coll Math & Informat Sci, Nanchang 330063, Peoples R China

[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[3] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

关键词: Nonlinear elliptic equations;    Decreasing rearrangement;    Relative rearrangement;    Grad-Mercier type;    Plasma physics;   

DOI  :  10.1016/j.jde.2013.11.009

来源: Elsevier

【 摘 要 】

This paper deals with a nonlocal problem arising in plasma physics. This problem involves the terms u'(*)(vertical bar u > u(x)vertical bar) and vertical bar u > u(x)vertical bar, which are neither local, nor continuous and monotone. By using the Galerkin approximate method and the topological degree theory, the existence of solutions will be proved. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free