I. Holopainen

activity

20062023

collaborators

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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.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

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

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