Stability and qualitative properties of radial solutions of the Lane–Emden–Fowler equation on Riemannian models

Autor: Berchio, Elvise ^a, Ferrero, Alberto ^b, Grillo, Gabriele ^{c, ⁎}

Publikováno v: In Journal de mathématiques pures et appliquées July 2014 102(1):1-35

Pressure at infnity and strong positive recurrence in negative curvature

Autor: Gouëzel, Sébastien, Noûs, Camille, Schapira, Barbara, Tapie, Samuel, Riquelme, Felipe

Publikováno v: Commentarii Mathematici Helvetici
Commentarii Mathematici Helvetici, In press, ⟨10.48550/arXiv.2007.08816⟩
Commentarii Mathematici Helvetici, In press

International audience; In the context of geodesic flows of noncompact negatively curved manifolds, we propose three different definitions of entropy and pressure at infinity, through growth of periodic orbits, critical exponents of Poincar\'e series

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f94629ee06f283d3ee5ab1414164335
https://hal.archives-ouvertes.fr/hal-02901142/document

On the Asymptotic Dirichlet Problem for the Minimal Hypersurface Equation in a Hadamard Manifold

Autor: Jaime Ripoll, Ilkka Holopainen, Jean-Baptiste Casteras

Publikováno v: Potential Analysis
Potential Analysis, 2017, 47 (4), pp.485-501. ⟨10.1007/s11118-017-9624-z⟩
Potential Analysis, Springer Verlag, 2017, 47 (4), pp.485-501. ⟨10.1007/s11118-017-9624-z⟩

We study the Dirichlet problem at infinity on a Cartan-Hadamard manifold M of dimension n 2 for a large class of operators containing, in particular, the p-Laplacian and the minimal graph operator. We extend several existence results obtained for the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52eb51b23313afe876ff004856f1c269
https://doi.org/10.1007/s11118-017-9624-z

Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.

Long-time dynamics of the perturbed Schrödinger equation on negatively curved surfaces

Autor: Gabriel Rivière

We consider perturbations of the semiclassical Schr{\"o}dinger equation on a compact Riemannian surface with constant negative curvature and without boundary. We show that, for scales of times which are logarithmic in the size of the perturbation, th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e35fe1b6184dd59d042633af1d9464b5
https://hal.science/hal-01095014/file/Riviere14-v1.pdf