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arXiv · 0705.1492

Multiple Solutions for a Henon-Like Equation on the Annulus

Marta Calanchi·Simone Secchi·Elide Terraneo
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Abstract

For the equation (-Δu = | |x|-2 |^αu^{p-1}), (1 < |x| < 3), we prove the existence of two solutions for (α) large, and of two additional solutions when (p) is close to the critical Sobolev exponent (2^*=2N/(N-2)). A symmetry--breaking phenomenon appears, showing that the least--energy solutions cannot be radial functions.

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Marta Calanchi, Simone Secchi, Elide Terraneo. 2008-06-10. Multiple Solutions for a Henon-Like Equation on the Annulus. https://arxiv.org/abs/0705.1492

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