EXISTENCE AND CONVERGENCE OF WEAK POSITIVE SOLUTIONS OF -DELTA-U=UN/(N-2) IN BOUNDED DOMAINS OF RN, N-GREATER-THAN-OR-EQUAL-TO-3

被引：0

作者：

PACARD, F

机构：

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1992年 / 314卷 / 10期

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D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence of infinitely many positive solutions having prescribed singularities for the problem - DELTA(u) = u(n/(n-2)) in bounded domains of R(n), n greater-than-or-equal-to 3.

引用

页码：729 / 734

页数：6

共 36 条

[1] EXISTENCE AND CONVERGENCE OF POSITIVE WEAK SOLUTIONS OF DELTA-U = U(N/N-2) IN BOUNDED DOMAINS OF R(N), N-GREATER-THAN-OR-EQUAL-TO-3
PACARD, F
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1993, 1 (03) : 243 - 265
[2] EXISTENCE AND CONVERGENCE OF WEAK POSITIVE SOLUTIONS OF DELTA-U = U-ALPHA IN BOUNDED DOMAINS OF RN, N-GREATER-THAN-OR-EQUAL-TO-3
PACARD, F
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 315 (07): : 793 - 798
[3] A NOTE ON THE REGULARITY OF WEAK SOLUTIONS OF -DELTA-U=U-ALPHA IN R(N), N-GREATER-THAN-OR-EQUAL-TO-3
PACARD, F
[J]. HOUSTON JOURNAL OF MATHEMATICS, 1992, 18 (04): : 621 - 632
[4] RADIAL AND NONRADIAL SOLUTIONS OF -DELTA-U=LAMBDA-F(U), ON AN ANNULUS OF R(N), N-GREATER-THAN-OR-EQUAL-TO-3
PACARD, F
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 101 (01) : 103 - 138
[5] UNBOUNDED QUADRATURE DOMAINS IN RN (N-GREATER-THAN-OR-EQUAL-TO-3)
SHAHGHOLIAN, H
[J]. JOURNAL D ANALYSE MATHEMATIQUE, 1991, 56 : 281 - 291
[6] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS TO DELTA-U+KU-SIGMA=0 ON RN FOR N-GREATER-THAN-OR-EQUAL-TO-3
TRUBEK, J
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 106 (04) : 953 - 959
[7] LITTLE HOLES AND CONVERGENCE OF SOLUTIONS OF -DELTA-U = U(N+2)/(N-2)
LEWANDOWSKI, R
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 14 (10) : 873 - 888
[8] ON THE INVERSE OF BROWNIEN MOTION IN RN (N-GREATER-THAN-OR-EQUAL-TO-3)
YOR, M
[J]. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 1985, 21 (01): : 27 - 38
[9] EXISTENCE OF POSITIVE SOLUTIONS OF THE EQUATION -DELTA-U+A(X)U=U(N+2)/(N-2) IN RN
BENCI, V
CERAMI, G
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 88 (01) : 90 - 117
[10] BOUNDARY DIRECTION OF POSITIVE SOLUTIONS TO WEINSTEINS EQUATION LK(U)=DELTA-U + K DELTA-U DIVIDED BY XN DELTA-XN = 0 IN SEMI-SPACE E(XN GREATER THAN 0) OF RN(N GREATER THAN OR EQUAL TO 2)
BRELOTCOLLIN, B
BRELOT, M
[J]. BULLETIN DE LA CLASSE DES SCIENCES ACADEMIE ROYALE DE BELGIQUE, 1973, 59 (11): : 1100 - 1117

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