On an indefinite semilinear elliptic problem on RN

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:297

Article

Megrez, N ; Giacomoni, J

关键词: indefinite semi-linear elliptic problem;    bifurcation;    Kelvin transform;    Method of moving planes;   

DOI  :  10.1016/j.jmaa.2004.04.056

来源: Elsevier

【 摘 要 】

We are dealing with the problem [GRAPHICS] where lambda is a real parameter, N > 2, h and g are a changing sign functions, and 1 < p < (N+2)/(N-2). Under suitable assumptions, and by combining the global bifurcation result of Rabinowitz [J. Funct. Anal. 7 (1971) 485-513], with a priori estimates of positive solutions, we prove the existence of a continuum of positive solutions, bifurcating from lambda(1,h) and -lambda(1,-h), the two principal eigenvalues of multiplicity one, of the associated linear problem. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

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