Relative category and multiplicity of positive solutions for the equation Δu+u2*-1 = O

被引：1

作者：

Passaseo, D ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1998年 / 33卷 / 05期

关键词：

nonlinear elliptic problems; critical Sobolev exponent; positive solutions; capacity; relative category;

D O I：

10.1016/S0362-546X(97)00561-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

[No abstract available]

引用

页码：509 / 517

页数：9

共 50 条

[1] Relative category and multiplicity of positive solutions for the equation Δu + u2*-1 = 0
Passaseo, Donato
Nonlinear Analysis, Theory, Methods and Applications, 1998, 33 (05): : 509 - 517
[2] On the multiplicity of the solutions of the equation -Δ u=λ•f(u)
Saint Raymond, J
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 180 (01) : 65 - 88
[3] An upper bound for positive solutions of the equation Δu=uα
Kuznetsov, SE
ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 10 : 103 - 112
[4] Some sufficient conditions for the existence of positive solutions to the equation -Delta u+a(x)u=u(2*-1) in bounded domains
Passaseo, D
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1996, 13 (02): : 185 - 227
[5] Stable and singular solutions of the equation Δu=1/u
Meadows, AM
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2004, 53 (06) : 1681 - 1703
[6] EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS TO THE FRACTIONAL EQUATION Δα/2u = -uγ IN BOUNDED DOMAINS
Ben Chrouda, Mohamed
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2017, 42 (02) : 997 - 1007
[7] SOME SOLUTIONS OF THE EQUATION U''-LAMBDA-U'=U(U-1)(U-A)
AIRAULT, H
KALIAPPAN, P
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1984, 299 (08): : 323 - 326
[8] EXISTENCE OF POSITIVE SOLUTIONS OF THE EQUATION -DELTA-U+A(X)U=U(N+2)/(N-2) IN RN
BENCI, V
CERAMI, G
JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 88 (01) : 90 - 117
[9] POSITIVE ENTIRE SOLUTIONS OF THE EQUATION DELTA-U+F(X,U)=0
GUI, CF
JOURNAL OF DIFFERENTIAL EQUATIONS, 1992, 99 (02) : 245 - 280
[10] Criteria for the existence of positive solutions to the equation ρ(x)Δu = u2 in Rd for all d≥1 -: A new probabilistic approach
Engländer, J
POSITIVITY, 2000, 4 (04) : 327 - 337

← 1 2 3 4 5 →