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A Class of Degenerate Elliptic Equations
Journal of Mathematical Sciences, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alkhutov, Yu. A., Zhikov, V. V.
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Applying the potential method to solving main boundary-value problems for a degenerate elliptic equation [PDF]
Lobachevskii Journal of Mathematics, 2016 © 2016, Pleiades Publishing, Ltd.Fundamental solutions of a degenerate elliptic equation are found. Potentials of the double-layer type and single-layer type are constructed by means of fundamental solutions. Main boundary-value problems for a degenerate
Abaydullin R., Askhatov R.
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Elliptic Functional Differential Equations with Degenerations
Lobachevskii Journal of Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS
Mathematics of the USSR-Sbornik, 1984Translation from Mat. Sb. Nov. Ser. 120(162), No.3, 311-330 (Russian) (1983; Zbl 0525.35038).
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Elliptic Equations with Degenerate Coercivity: Gradient Regularity
Acta Mathematica Sinica, English Series, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GIACHETTI, Daniela +1 more
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Homogenization of degenerate elliptic‐parabolic equations
Asymptotic Analysis, 2004In 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 ...
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Homogenization of degenerate elliptic equations
Siberian Mathematical Journal, 2008Summary: 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 THE SMOOTHNESS OF SOLUTIONS OF DEGENERATE ELLIPTIC EQUATIONS
Mathematics of the USSR-Izvestiya, 1968It is shown that under broad assumptions the generalized solution of boundary problems for degenerate second-order equations satisfies a Holder condition. An example is given which shows that increasing the smoothness of the data of the problem cannot alone achieve greater smoothness of the solution.
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On the Continuous Solutions of a Degenerate Elliptic Equation
Proceedings of the London Mathematical Society, 1985Dans cet article l'A. étudie l'équation \(-(\phi a^{ij}u_{x_ i})_{x_ j}+a^ iu_{x_ i}+a^ 0u=f\) dans \(\Omega\) où \(\phi\) est equivalent à la distance de x à \(\partial \Omega\). Il précise des conditions d'existence de solutions dont il donne la régularité.
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The Degenerate Venttsel Problem to Elliptic Equations
Journal of Mathematical Sciences, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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