Multi-bubble solutions for slightly super-critical elliptic problems in domains with symmetries

被引：46

作者：

DeL Pino, M

Felmer, P

Musso, M

机构：

[1] Univ Chile, Dept Ingn Matemat, Santiago, Chile

[2] Univ Chile, Ctr Modelamiento Matemat, Santiago, Chile

[3] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2003年 / 35卷

关键词：

D O I：

10.1112/S0024609303001942

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to show the existence of solutions with an arbitrarily large number of bubbles for the slightly super-critical elliptic problem -Deltau = u((N+2)/(N-2)+epsilon) in Omega, subject to the conditions that u > 0 in Omega, and u = 0 on partial derivativeOmega, where epsilon > 0 is a small parameter and Omega subset of R(N) is a bounded domain with certain symmetries, for instance an annulus or a torus in R(3).

引用

页码：513 / 521

页数：9

共 16 条

[1] Aubin T., 1976, J. Di ff erential Geom., V11, P573
[2] ON A VARIATIONAL PROBLEM WITH LACK OF COMPACTNESS - THE TOPOLOGICAL EFFECT OF THE CRITICAL-POINTS AT INFINITY
BAHRI, A
LI, YY
REY, O
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1995, 3 (01): : 67 - 93
[3] Bahri A., 1989, RES NOTES MATH, V182
[4] Brezis H., 1986, COMM PURE APPL MATH, V39
[5] ASYMPTOTIC SYMMETRY AND LOCAL BEHAVIOR OF SEMILINEAR ELLIPTIC-EQUATIONS WITH CRITICAL SOBOLEV GROWTH
CAFFARELLI, LA
GIDAS, B
SPRUCK, J
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1989, 42 (03) : 271 - 297
[6] CORON JM, 1984, CR ACAD SCI I-MATH, V299, P209
[7] A NOTE ON AN EQUATION WITH CRITICAL EXPONENT
DANCER, EN
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1988, 20 : 600 - 602
[8] Multi-peak solutions for super-critical elliptic problems in domains with small holes
del Pino, M
Felmer, P
Musso, M
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 182 (02) : 511 - 540
[9] DELPINO M, IN PRESS CALC VAR PA
[10] Ding W., 1989, J. Partial Differ. Equ., V2, P83

← 1 2 →