On Nonnegative Solutions of Quasilinear Equations with Oscillating Nonlinearity in RN

被引：0

作者：

Correa, Francisco Julio S. A. ^{[1
]}

Nobrega, Alannio Barbosa ^{[1
]}

Tavares, Leandro S. ^{[2
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429970 Campina Grande, PB, Brazil

[2] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-09280560 Santo Andre, SP, Brazil

来源：

MINIMAX THEORY AND ITS APPLICATIONS | 2025年 / 10卷 / 01期

关键词：

Comparison principles; Variational methods; Nonlinear elliptic equations; POSITIVE SOLUTIONS; EXISTENCE; SOLITON; PLASMA;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, it is obtained the existence and multiplicity of solutions for a class of quasilinear problems with an oscillating nonlinearity satisfying an area condition. The approach consists in introducing an auxiliary semilinear problem through a suitable change of variables which is equivalent to the original one, and solve it by means of the Schaefer's Fixed Point Theorem, sub-supersolutions and minimax results.

引用

页码：109 / 134

页数：26

共 41 条

[1] Bifurcation properties for a class of fractional Laplacian equations in RN [J].

Alves, Claudianor O. ;

de Lima, Romildo N. ;

Nobrega, Alannio B. .

MATHEMATISCHE NACHRICHTEN, 2018, 291 (14-15) :2125-2144

[2] EXISTENCE OF A SOLUTION FOR A NON-LOCAL PROBLEM IN RN VIA BIFURCATION THEORY [J].

Alves, Claudianor O. ;

de Lima, Romildo N. ;

Souto, Marco A. S. .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2018, 61 (03) :825-845

[3] NONLINEAR ELECTROMAGNETIC-SPIN WAVES [J].

BASS, FG ;

NASONOV, NN .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 189 (04) :165-223

[4]

Borovskii A. V., 1993, Journal of Experimental and Theoretical Physics, V77, P562

[5] RELATIVISTIC AND PONDEROMOTIVE SELF-FOCUSING OF A LASER-BEAM IN A RADIALLY INHOMOGENEOUS-PLASMA .1. PARAXIAL APPROXIMATION [J].

BRANDI, HS ;

MANUS, C ;

MAINFRAY, G ;

LEHNER, T ;

BONNAUD, G .

PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1993, 5 (10) :3539-3550

[6] Static solutions of a D-dimensional modified nonlinear Schrodinger equation [J].

Brizhik, L ;

Eremko, A ;

Piette, B ;

Zakrzewski, WJ .

NONLINEARITY, 2003, 16 (04) :1481-1497

[7] MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF NONLINEAR BOUNDARY-VALUE PROBLEMS [J].

BROWN, KJ ;

BUDIN, H .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1977, 60 (02) :329-338

[8] EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF SEMI-LINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS [J].

BROWN, KJ ;

BUDIN, H .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1979, 10 (05) :875-883

[9] NECESSARY AND SUFFICIENT CONDITIONS FOR SELF-FOCUSING OF SHORT ULTRAINTENSE LASER-PULSE IN UNDERDENSE PLASMA [J].

CHEN, XL ;

SUDAN, RN .

PHYSICAL REVIEW LETTERS, 1993, 70 (14) :2082-2085

[10]

Chipot M, 2014, DIFFER INTEGRAL EQU, V27, P289

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