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Liouville-type results for solutions of \(-\Delta u=|u|^{p-1}u\) on unbounded domains of \(\mathbb R^N\) - MaRDI portal

Liouville-type results for solutions of \(-\Delta u=|u|^{p-1}u\) on unbounded domains of \(\mathbb R^N\) (Q2570040)

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Liouville-type results for solutions of \(-\Delta u=|u|^{p-1}u\) on unbounded domains of \(\mathbb R^N\)
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    Liouville-type results for solutions of \(-\Delta u=|u|^{p-1}u\) on unbounded domains of \(\mathbb R^N\) (English)
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    26 October 2005
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    half-spaces
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    coercive epigraphs
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    stable solutions
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    finite Morse index solutions
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    solutions stable outside a compact set
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    non-negative solutions
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