Tadele Mengesha

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math.AP2016

Weighted $W^{1, p}$ - estimates for weak solutions of degenerate elliptic equations with coefficients degenerate in one variable

Tadele Mengesha, Tuoc Phan

This paper studies the Sobolev regularity of weak solution of degenerate elliptic equations in divergence form $div [A (X) \nabla u] = div [F (X)]$ , whe…

math.AP2016

Weighted- $W^{1, p}$ estimates for weak solutions of degenerate and singular elliptic equations

Dat Cao, Tadele Mengesha, Tuoc Phan

Global weighted $L^{p}$ -estimates are obtained for the gradient of solutions to a class of linear singular, degenerate elliptic Dirichlet boundary value problems over a bounded non…

math.AP2010

Representation formulas for $L^{\infty}$ norms of weakly convergent sequences of gradient fields in homogenization

Robert Lipton, Tadele Mengesha

We examine the composition of the $L^{\infty}$ norm with weakly convergent sequences of gradient fields associated with the homogenization of second order divergence form partial d…

Weighted W1,p- estimates for weak solutions of degenerate elliptic equations with coefficients degenerate in one variable

Weighted-W1,p estimates for weak solutions of degenerate and singular elliptic equations

Representation formulas for L∞ norms of weakly convergent sequences of gradient fields in homogenization

Weighted $W^{1, p}$ - estimates for weak solutions of degenerate elliptic equations with coefficients degenerate in one variable

Weighted- $W^{1, p}$ estimates for weak solutions of degenerate and singular elliptic equations

Representation formulas for $L^{\infty}$ norms of weakly convergent sequences of gradient fields in homogenization