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A Class of Degenerate Elliptic Equations

Journal of Mathematical Sciences, 2004
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Alkhutov, Yu. A., Zhikov, V. V.
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Elliptic Equations with Degenerate Coercivity: Gradient Regularity

Acta Mathematica Sinica, English Series, 2003
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GIACHETTI, Daniela   +1 more
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Elliptic Functional Differential Equations with Degenerations

Lobachevskii Journal of Mathematics, 2020
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Homogenization of degenerate elliptic equations

Siberian Mathematical Journal, 2008
Summary: We consider divergent elliptic equations whose weight function and its inverse are assumed to be locally integrable. The equations of this type exhibit the Lavrentiev phenomenon, the nonuniqueness of weak solutions, as well as other surprising consequences.
Zhikov, V. V., Pastukhova, S. E.
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ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS

Mathematics of the USSR-Sbornik, 1984
Translation from Mat. Sb. Nov. Ser. 120(162), No.3, 311-330 (Russian) (1983; Zbl 0525.35038).
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Degenerate elliptic-parabolic equation

Communications in Partial Differential Equations, 1978
(1978). Degenerate elliptic-parabolic equation. Communications in Partial Differential Equations: Vol. 3, No. 11, pp. 1007-1040.
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Homogenization of degenerate elliptic‐parabolic equations

Asymptotic Analysis, 2004
In this paper we give a result of G‐convergence for a class of strongly degenerate parabolic equations in the case of periodic coefficients. The operators have the form μ(x)∂t−div(a(x,t)·D) where the quadratic form associated to a(x,t) is degenerating as a Muckenhoupt weight and the coefficient μ is greater or equal to zero, possibly μ≡0, that is the ...
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ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS. II

Mathematics of the USSR-Sbornik, 1984
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Irregular Solutions of Linear Degenerate Elliptic Equations

Potential Analysis, 1998
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B. Franchi   +2 more
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