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Singular Abreu equations and minimizers of convex functionals with a convexity constraint
Nam Q. Le
We study the solvability of second boundary value problems of fourth order equations of Abreu type arising from approximation of convex functionals whose Lagrangians depend on the…
Phonon-mediated thermal transport at exponentially mass-graded interfaces: A computational study
Rouzbeh Rastgarkafshgarkolaei, Jingjie Zhang, Carlos A. Polanco +3
We numerically investigate thermal transport at solid-solid interfaces with graded intermediate layers whose masses vary exponentially from one side to the other. Using Non-Equilib…
Polynomial decay in estimates for viscosity supersolutions of fully nonlinear elliptic equations
Nam Q. Le
We prove estimates for viscosity supersolutions of fully nonlinear, uniformly elliptic equations where decays polynomially with respect to the ell…
Asymptotic Behavior of Allen-Cahn Type Energies and Neumann Eigenvalues via Inner Variations
Nam Q. Le, Peter Sternberg
We use the notion of first and second inner variations as a bridge allowing one to pass to the limit of first and second Gateaux variations for the Allen-Cahn, Cahn-Hilliard and Oh…