Poincaré Sobolev equations in the Hyperbolic space

Details Poincaré Sobolev equations in the Hyperbolic space Poincaré Sobolev equations in the Hyperbolic space

2011-03-24

arxiv.org/abs/1103.4779v1

Mathematics

Analysis of PDEs

Scientific paper

We study the a priori estimates,existence/nonexistence of radial sign changing solution, and the Palais-Smale characterisation of the problem $-\De_{\Bn}u - \la u = |u|^{p-1}u, u\in H^1(\Bn)$ in the hyperbolic space $\Bn$ where $1

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