Nonlinear perturbations of a periodic elliptic problem with discontinuous nonlinearity in RN

被引：0

作者：

Alves, Claudianor O. ^{[1
]}

Nascimento, Rubia G. ^{[2
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat & Estat, BR-58109970 Campina Grande, PB, Brazil

[2] Fed Univ Para, Fac Matemat, BR-66075110 Belem, Para, Brazil

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2012年 / 63卷 / 01期

关键词：

Elliptic problem; Discontinuous nonlinearity; Variational methods; DIFFERENTIAL-EQUATIONS; COMPACTNESS; PRINCIPLE;

D O I：

10.1007/s00033-011-0153-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using variational methods, we establish existence of positive solutions for a class of elliptic problems like -Delta u + V (x)u = H( u - beta)f(u) in R-N, where beta > 0, V is a positive, continuous perturbations of a periodic function, H is the Heaviside function and f is a continuous function with subcritical growth.

引用

页码：107 / 124

页数：18

共 31 条

[1]

Alves C.O., J CONVEX AN IN PRESS

[2]

Alves C.O., EXISTENCE CONCENTRAT

[3] A variational approach to discontinuous problems with critical Sobolev exponents [J].

Alves, CO ;

Bertone, AM ;

Goncalves, JV .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 265 (01) :103-127

[4] Nonlinear perturbations of a periodic elliptic problem with critical growth [J].

Alves, CO ;

Carriao, PC ;

Miyagaki, OH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 260 (01) :133-146

[5]

Alves CO., 2003, Eletron. J. Differ. Equ, V2003, P1

[6] THE DUAL VARIATIONAL PRINCIPLE AND ELLIPTIC PROBLEMS WITH DISCONTINUOUS NONLINEARITIES [J].

AMBROSETTI, A ;

BADIALE, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 140 (02) :363-373

[7]

[Anonymous], 2010, Encyclopedia of Mathematics and its Applications

[8]

[Anonymous], 2000, Differential Integral Equations

[9]

Badiale M., 1993, DIFFERENTIAL INTEGRA, V6, P1173

[10]

Badiale M., 1993, REND SEM MAT U POLIT, V51, P331

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