Some results for semilinear elliptic equations with critical potential

This paper is devoted to the study of the elliptic problems with a critical potential, where N ≥ 3, λ ≥ 0 and 0 < q < 1 < p ≤ (N + 2)/(N − 2). Existence, multiplicity, behaviour in x = 0 and bifurcation are considered under some hypotheses in h and g.

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Bibliographic Details
Published in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2002-02, Vol.132 (1), p.1-24
Main Authors: Abdellaoui, B., Peral, I.
Format: Article
Language:English
Subjects:
Bifurcations
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Summary:This paper is devoted to the study of the elliptic problems with a critical potential, where N ≥ 3, λ ≥ 0 and 0 < q < 1 < p ≤ (N + 2)/(N − 2). Existence, multiplicity, behaviour in x = 0 and bifurcation are considered under some hypotheses in h and g.
ISSN:0308-2105
1473-7124
DOI:10.1017/S0308210500001505