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arXiv · 1103.4779

Poincaré Sobolev equations in the Hyperbolic space

Mousomi Bhakta·K. Sandeep
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Abstract

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 $1<p\leq\frac{N+2}{N-2}$. We will also prove the existence of sign changing solution to the Hardy-Sobolev-Mazya equation and the critical Grushin problem.

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Mousomi Bhakta, K. Sandeep. 2011-03-24. Poincaré Sobolev equations in the Hyperbolic space. https://arxiv.org/abs/1103.4779

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