Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties

Author:

González María del Mar,Sáez Mariel,Sire Yannick

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference34 articles.

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2. Ambrosio, L., Cabré, X.: Entire solutions of semilinear elliptic equations in $${\mathbb{R}}^3$$ R 3 and a conjecture of De Giorgi. J. Am. Math. Soc. 13, 725–739 (2000)

3. Anker, J.-P.: $${ L}_p$$ L p Fourier multipliers on Riemannian symmetric spaces of the noncompact type. Ann. Math. (2) 132(3), 597–628 (1990)

4. Banica, V., del Mar González, M., Sáez, M.: Some Constructions for the Fractional Laplacian on Noncompact Manifolds. arXiv:1212.3109 (preprint)

5. Berchio, E., Ferrero A., Grillo, G.: Stability and Qualitative Properties of Radial Solutions of the Lane–Emden–Fowler Equation on Riemannian Models. arXiv:1211.2762 (preprint)

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