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Existence of many positive solutions of semilinear equations on annulus. (English) Zbl 0748.35013

Der Autor zeigt: Die Anzahl der positiven nichtäquivalenten nichtrotationssymmetrischen Lösungen von \(-\Delta u-u^ p=0\) in Ringgebieten unter Dirichlet Nullrandbedingungen strebt gegen \(\infty\), wenn der äußere Kugelradius gegen \(\infty\) geht. Ringgebiete zeigen somit ein deutlich anderes Verhalten als die Kugel.
Reviewer: J.Frehse (Bonn)

MSC:

35J65 Nonlinear boundary value problems for linear elliptic equations

Citations:

Zbl 0569.35033
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References:

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