This work is devoted to the study of a new Liouville-type phenomenon for entire subsolutions of elliptic partial differential equations of the form
Ce travail est consacré à l'étude d'un nouveau phénomène de type Liouville pour des sous-solutions entières d'équations aux dérivées partielles elliptiques de la forme
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V.V. Kurta 1
@article{CRMATH_2004__338_1_19_0, author = {V.V. Kurta}, title = {About a {Liouville} phenomenon}, journal = {Comptes Rendus. Math\'ematique}, pages = {19--22}, publisher = {Elsevier}, volume = {338}, number = {1}, year = {2004}, doi = {10.1016/j.crma.2003.10.022}, language = {en}, }
V.V. Kurta. About a Liouville phenomenon. Comptes Rendus. Mathématique, Volume 338 (2004) no. 1, pp. 19-22. doi : 10.1016/j.crma.2003.10.022. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.10.022/
[1] Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires, Dunod, Gauthier-Villars, Paris, 1969
[2] Capacity and a generalized maximum principle for quasilinear equations of elliptic type, Dokl. Akad. Nauk SSSR, Volume 250 (1980), pp. 1318-1320
[3] Asymptotic properties of subsolutions of quasilinear equations of elliptic type and mappings with bounded distortion, Mat. Sb., Volume 111 (1980) no. 153, pp. 42-66
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