Positive solutions to perturbed elliptic problems in RN involving critical Sobolev exponent

被引：12

作者：

Cingolani, S ^{[1
]}

机构：

[1] Politecn Bari, Dipartimento Interuniv Matemat, I-70125 Bari, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 48卷 / 08期

关键词：

elliptic problem; critical sobolev exponent; pertubation method; anisotropic problem;

D O I：

10.1016/S0362-546X(00)00245-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of positive solutions of the critical elliptic problem involving critical Sobolev exponent was studied. The equation was studied and a perturbative approach was applied which relied on the suitable use of an abstract perturbation method. The results were obtained by analysis of the continuity of the coefficients bi,j(x) and by applying dominated convergence theorem.

引用

页码：1165 / 1178

页数：14

共 16 条

[1]

ALVES CO, 1997, ELECT J DIFFERENTIAL, P1

[2] Variational perturbative methods and bifurcation of bound states from the essential spectrum [J].

Ambrosetti, A ;

Badiale, M .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1998, 128 :1131-1161

[3] Semiclassical states of nonlinear Schrodinger equations [J].

Ambrosetti, A ;

Badiale, M ;

Cingolani, S .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1997, 140 (03) :285-300

[4] Perturbation of Δu plus u(N+2)/(N-2)=0, the scalar curvature problem in RN, and related topics [J].

Ambrosetti, A ;

Azorero, JG ;

Peral, I .

JOURNAL OF FUNCTIONAL ANALYSIS, 1999, 165 (01) :117-149

[5] Perturbation results for an anisotropic Schrodinger equation via a variational method [J].

Badiale, M ;

Azorero, JG ;

Peral, I .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2000, 7 (02) :201-230

[6]

BENCI V, 1990, J FUNCT ANAL, V88, P91

[7] Extrema problems with critical Sobolev exponents on unbounded domains [J].

BenNaoum, AK ;

Troestler, C ;

Willem, M .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (04) :823-833

[8]

BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313

[9] Global bifurcation results for a semilinear elliptic equation on all of IR(N) [J].

Brown, KJ ;

Stavrakakis, N .

DUKE MATHEMATICAL JOURNAL, 1996, 85 (01) :77-94

[10] CONCENTRATION COMPACTNESS PRINCIPLE AT INFINITY AND SEMILINEAR ELLIPTIC-EQUATIONS INVOLVING CRITICAL AND SUBCRITICAL SOBOLEV EXPONENTS [J].

CHABROWSKI, J .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1995, 3 (04) :493-512

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