Some results for semilinear elliptic equations with critical potential

Boumediene Abdellaoui, Ireneo Peral · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2002

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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