A universal Hölder estimate up to dimension 4 for stable solutions to half-Laplacian semilinear equations

Author:

Cabré Xavier,Sanz-Perela TomásORCID

Funder

Generalitat de Catalunya Agència de Gestió d'Ajuts Universitaris i de Recerca

Government of Spain Ministry of Economy and Competitiveness

Government of Spain Ministry of Science and Innovation

Engineering and Physical Sciences Research Council

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference27 articles.

1. X. Cabré, A quantitative proof of the Hölder regularity of stable solutions to semilinear elliptic equations, Forthcoming.

2. Regularity of radial minimizers and extremal solutions of semilinear elliptic equations;Cabré;J. Funct. Anal.,2006

3. Stable solutions to semilinear elliptic equations are smooth up to dimension 9;Cabré;Acta Math.,2020

4. Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates;Cabré;Ann. Inst. Henri Poincaré, Anal. Non Linéaire,2014

5. Regularity of radial extremal solutions for some non-local semilinear equations;Capella;Commun. Partial Differ. Equ.,2011

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