Entropy Solutions of the Dirichlet Problem for Some Nonlinear Elliptic Degenerate Second-Order Equations
DOI:
https://doi.org/10.15407/mag17.01.054Анотація
У роботі досліджено розв'язність задачі Діріхле для модельного нелінійного еліптичного рівняння другого порядку з ізотропними і виродженими (за незалежними змінними) коефіцієнтами, молодшим членом та $L^1$-правою частиною. Встановлено умови існування ентропійного розв'язку розглянутої задачі.Mathematics Subject Classification: 35J25, 35J60, 35J70
Ключові слова:
вироджені еліптичні рівняння, L1-права частина, задача Діріхле, ентропійний розв'язок, існування розв'язківПосилання
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