Analysis of the existence of special solutions to the capillarity problem
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 3, Tome 172 (2019), pp. 113-118

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This paper is devoted to the study of the existence of solutions of the capillary equation under the influence of an external potential leading to surface surgery.
Keywords: capillarity problem, Bond number, special solution.
Mots-clés : bifurcation
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L. V. Stenyukhin. Analysis of the existence of special solutions to the capillarity problem. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 3, Tome 172 (2019), pp. 113-118. http://geodesic.mathdoc.fr/item/INTO_2019_172_a8/