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Found 273 Documents (Results 1–100)

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On entropy solutions of anisotropic elliptic equations with variable nonlinearity indices in unbounded domains. (English. Russian original) Zbl 1460.35108

J. Math. Sci., New York 253, No. 5, 692-709 (2021); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 3, 475-493 (2017).
MSC:  35J25 35A01 35A02
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Summability of solutions of the Dirichlet problem for nonlinear elliptic equations with right-hand side in classes close to \(L^1\). (English. Russian original) Zbl 1443.35045

Math. Notes 107, No. 6, 1023-1028 (2020); translation from Mat. Zametki 107, No. 6, 934-939 (2020).
MSC:  35J62 35B65 35J25
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Integrability properties of functions with a given behavior of distribution functions and some applications. (English. Russian original) Zbl 1440.35110

Proc. Steklov Inst. Math. 308, Suppl. 1, 112-126 (2020); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 25, No. 1, 78-92 (2019).
MSC:  35J60 35J25
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Very singular solutions for linear Dirichlet problems with singular convection terms. (English) Zbl 1437.35382

MSC:  35J91 35J75
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Existence of entropic solutions of an elliptic problem in anisotropic Sobolev-Orlicz spaces. (English. Russian original) Zbl 1427.35055

J. Math. Sci., New York 241, No. 3, 258-284 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 139, 15-38 (2017).
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Elliptic problems with growth in nonreflexive Orlicz spaces and with measure or \(L^1\) data. (English) Zbl 1433.35086

J. Math. Anal. Appl. 479, No. 1, 185-213 (2019); corrigendum ibid. 504, No. 1, Article ID 125339, 2 p. (2021).
MSC:  35J60 35J25 46E30
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Poisson equation beyond its natural domain of definition. (English) Zbl 1409.35063

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