Geodesic
Investigation of singularly perturbed and irregularly degenerate elliptic problems
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Tome 191 (2021), pp. 105-114

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Using two elliptic problems as examples, we show that the method of regularization of singular perturbations developed for constructing regularized asymptotic solutions of singularly perturbed equations can be successfully applied to constructing solutions of irregularly degenerate elliptic problems.
Mots-clés : singular perturbation
Keywords: spectrum, degenerate elliptic equation, small parameter, asymptotic series. 
@article{INTO_2021_191_a9,
     author = {I. S. Lomov},
     title = {Investigation of singularly perturbed and irregularly degenerate elliptic problems},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {105--114},
     publisher = {mathdoc},
     volume = {191},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_191_a9/}
}
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I. S. Lomov. Investigation of singularly perturbed and irregularly degenerate elliptic problems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Tome 191 (2021), pp. 105-114. http://geodesic.mathdoc.fr/item/INTO_2021_191_a9/