I. Holopainen

activity

20062023

most citedConvexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems

14 citations · 54 across the 15 of their papers we have counts for

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math.AP2023

Construction of 2-bubbles for the energy critical bi-harmonic Schrödinger equation

Jean-Baptiste Casteras, Ilkka Holopainen, Léonard Monsaingeon

We construct a blowing-up solution for the energy critical focusing biharmonic nonlinear Schrödinger equation in infinite time in dimension $N \geq 13$ . Our solution is radially sym…

math.AP2021★ 1 cited

Fourth order Schrödinger equation with mixed dispersion on certain Cartan-Hadamard manifolds

Jean-Baptiste Casteras, Ilkka Holopainen

We study the fourth order Schrödinger equation with mixed dispersion on an $N$ -dimensional Cartan-Hadamard manifold. At first, we focus on the case of the hyperbolic space. Using t…

math.AP2009

Global comparison principles for the $p$ -Laplace operator on Riemannian manifolds

Stefano Pigola, Giona Veronelli

We prove global comparison results for the $p$ -Laplacian on a $p$ -parabolic manifold. These involve both real-valued and vector-valued maps with finite $p$ -energy.

Construction of 2-bubbles for the energy critical bi-harmonic Schrödinger equation

Fourth order Schrödinger equation with mixed dispersion on certain Cartan-Hadamard manifolds

Global comparison principles for the p-Laplace operator on Riemannian manifolds

Global comparison principles for the $p$ -Laplace operator on Riemannian manifolds