MULTIPLE CYLINDRICALLY SYMMETRIC SOLUTIONS OF NONLINEAR MAXWELL EQUATIONS

被引：0

作者：

Wen, Yanyun ^{[1
]}

Zhao, Peihao ^{[2
]}

机构：

[1] Gansu Normal Coll Nationalities, Math Dept, Hezuo 747000, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2023年 / 62卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Maxwell equations; variational method; dual fountain theorem; cylindrically symmetric solution; GROUND-STATES; EXISTENCE; MODES;

D O I：

10.12775/TMNA.2022.062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the following nonlinear time-harmonic Maxwell equations (0.1) del x (del x E) - omega(2)epsilon(x)E = P (x)|E|Ep-2 + Q(x)|E|Eq-2, where epsilon(x) is the permittivity of the material, x is an element of R-3, 1 < q < p/(p - 1) < 2 < p < 6, P (x), Q(x) is an element of C (R-3, R). Under some special cylindrical symmetric conditions for epsilon(x), P(x) and Q(x), we obtain infinitely many cylindrically symmetric solutions of (0.1) by using variational methods and fountain theorems without tau-upper semi-continuity.

引用

页码：387 / 407

页数：21

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