EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A QUASILINEAR ELLIPTIC PROBLEM IN RN

被引：0

作者：

Covei, Dragos-Patru ^{[1
]}

机构：

[1] Constantin Brancusi Univ Targu Jiu, Targu Jiu 210152, Romania

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年

关键词：

Quasilinear elliptic problem; uniqueness; existence; nonexistence; lower-upper solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a unique positive solution to the problem -Delta(p)u = a(x) f(u) in R-N, N > 2. Our result extended previous works by Cirstea-Radulescu and Dinu, while the proofs are based on two theorems on bounded domains, due to Diaz-Saa and Goncalves-Santos.

引用

页数：17

共 16 条

[1] REMARKS ON SUBLINEAR ELLIPTIC-EQUATIONS [J].

BREZIS, H ;

OSWALD, L .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1986, 10 (01) :55-64

[2] Existence and asymptotic behavior of positive solution to a quasilinear elliptic problem in RN [J].

Covei, Dragos-Patru .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) :2615-2622

[3]

Crandall M.G., 1977, Commun. Partial. Differ. Equ., V2, P193, DOI DOI 10.1080/03605307708820029

[4] SOLUTIONS OF SINGULAR SEMILINEAR ELLIPTIC-EQUATIONS [J].

DALMASSO, R .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1988, 153 :191-201

[5]

DIAZ JI, 1987, CR ACAD SCI I-MATH, V305, P521

[6] C1+ALPHA LOCAL REGULARITY OF WEAK SOLUTIONS OF DEGENERATE ELLIPTIC-EQUATIONS [J].

DIBENEDETTO, E .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (08) :827-850

[7] Entire solutions of sublinear elliptic equations in anisotropic media [J].

Dinu, Teodora-Liliana .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 322 (01) :382-392

[8] ENTIRE SOLUTIONS OF SINGULAR ELLIPTIC-EQUATIONS [J].

EDELSON, AL .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 139 (02) :523-532

[9]

Goncalves J. V., 2004, J DIFFER EQUATIONS, V2004, P1

[10]

HIRANO N, 2001, DIFFER INTEGRAL EQU, V14, P1531

← 1 2 →