Global bifurcation and continua of nonnegative solutions for a quasilinear elliptic problem

被引：37

作者：

Díaz, JI ^{[1
]}

Hernández, J

机构：

[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain

[2] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1999年 / 329卷 / 07期

关键词：

D O I：

10.1016/S0764-4442(00)80006-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this Note, we study the existence and multiplicity of solutions, strictly positive or nonnegative having a dead core (where the solution vanishes) of a one-dimensional equation of eigenvalue type associated to a quasilinear operator with strong absorption with respect to the diffusion. (C) 1999 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：587 / 592

页数：6

共 8 条

[1] STABILIZATION OF SOLUTIONS OF A DEGENERATE NON-LINEAR DIFFUSION PROBLEM [J].

ARONSON, D ;

CRANDALL, MG ;

PELETIER, LA .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1982, 6 (10) :1001-1022

[2]

BIDAUTVERON MF, 1997, PUBLICATION U TOURS

[3]

CORTAZAR C, 1996, ADV DIFF EQUATIONS, V1, P199

[4]

DIAZ JI, 1985, NONLINEAR PARTIAL DI

[5]

DIAZ JI, UNPUB

[6]

DIAZ JI, 1990, UNPUB

[7] BIFURCATION PHENOMENA ASSOCIATED TO THE P-LAPLACE OPERATOR [J].

GUEDDA, M ;

VERON, L .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 310 (01) :419-431

[8] GLOBAL BIFURCATION OF STEADY-STATE SOLUTIONS [J].

SMOLLER, J ;

WASSERMAN, A .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1981, 39 (02) :269-290

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