TY - Type of reference TI - La classe des secondes formes fondamentales résultant d’immersions minimales dans un espace forme AU - Marcello Lucia AB - The second fundamental form arising from an oriented minimal immersion of a closed surface in a space form satisfies several constraints. One of them is provided by the Gauss-Codazzi equation that can be rephrased as a semilinear problem on the surface. We discuss some results for these type of nonlinear problems and analyze the behaviors of the solutions when the hyperbolic norm of the second fundamental form is small. DO - 10.21494/ISTE.OP.2024.1100 JF - Avancées en Mathématiques Pures et Appliquées KW - space forms, minimal surfaces, semilinear elliptic equations, variational methods, blowup analysis, space forms, minimal surfaces, semilinear elliptic equations, variational methods, blowup analysis, L1 - http://www.openscience.fr/IMG/pdf/iste_apam24v15n2_3.pdf LA - fr PB - ISTE OpenScience DA - 2024/03/7 SN - 1869-6090 TT - The class of second fundamental forms arising from minimal immersions in a space form UR - http://www.openscience.fr/La-classe-des-secondes-formes-fondamentales-resultant-d-immersions-minimales IS - Numéro 2 (Spécial CSMT 2023) VL - 15 ER -