Summability of Solutions of the Dirichlet Problem
Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 934-939

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: nonlinear elliptic equation, Dirichlet problem, weak solution, entropy solution, summability of solutions.
A. A. Kovalevsky. Summability of Solutions of the Dirichlet Problem. Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 934-939. http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a12/
@article{MZM_2020_107_6_a12,
     author = {A. A. Kovalevsky},
     title = {Summability of {Solutions} of the {Dirichlet} {Problem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {934--939},
     year = {2020},
     volume = {107},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a12/}
}
TY  - JOUR
AU  - A. A. Kovalevsky
TI  - Summability of Solutions of the Dirichlet Problem
JO  - Matematičeskie zametki
PY  - 2020
SP  - 934
EP  - 939
VL  - 107
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a12/
LA  - ru
ID  - MZM_2020_107_6_a12
ER  - 
%0 Journal Article
%A A. A. Kovalevsky
%T Summability of Solutions of the Dirichlet Problem
%J Matematičeskie zametki
%D 2020
%P 934-939
%V 107
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a12/
%G ru
%F MZM_2020_107_6_a12

[1] L. Boccardo, T. Gallouët, J. Funct. Anal., 87:1 (1989), 149–169 | DOI | MR | Zbl

[2] L. Boccardo, T. Gallouët, Comm. Partial Differential Equations, 17:3-4 (1992), 641–655 | DOI | MR | Zbl

[3] Ph. Bénilan, L. Boccardo, T. Gallouët, R. Gariepy, M. Pierre, J. L. Vazquez, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 22:2 (1995), 241–273 | MR | Zbl

[4] A. A. Kovalevskii, I. I. Skrypnik, A. E. Shishkov, Singulyarnye resheniya nelineinykh ellipticheskikh i parabolicheskikh uravnenii, Naukova dumka, Kiev, 2010 | MR

[5] A. Alvino, L. Boccardo, V. Ferone, L. Orsina, G. Trombetti, Ann. Mat. Pura Appl. (4), 182:1 (2003), 53–79 | DOI | MR | Zbl

[6] A. A. Kovalevskii, Matem. zametki, 74:5 (2003), 676–685 | DOI | MR | Zbl

[7] A. A. Kovalevskii, Ukr. matem. vicn., 2:4 (2005), 502–540 | MR | Zbl

[8] L. Boccardo, T. Gallouet, J. Differential Equations, 253:9 (2012), 2698–2714 | DOI | MR | Zbl

[9] A. A. Kovalevskii, Matem. zametki, 70:3 (2001), 375–385 | DOI | MR | Zbl

[10] A. A. Kovalevsky, Nonlinear Anal., 64:8 (2006), 1885–1895 | DOI | MR | Zbl

[11] M. Kbiri Alaoui, D. Meskine, A. Souissi, Z. Anal. Anwend., 26:4 (2007), 459–466 | MR | Zbl

[12] A. A. Kovalevskii, Tr. IMM UrO RAN, 25, no. 1, 2019, 78–92 | DOI

[13] A. A. Kovalevsky, Nonlinear Anal., 192 (2020), 111692 | DOI | MR | Zbl