Existence of many positive solutions of semilinear equations on annulus (Q1812803)
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scientific article; zbMATH DE number 4287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of many positive solutions of semilinear equations on annulus |
scientific article; zbMATH DE number 4287 |
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Existence of many positive solutions of semilinear equations on annulus (English)
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25 June 1992
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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.
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nonradial positive solutions
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different group actions
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critical points
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