Optimal lower exponent for the higher gradient integrability of solutions to two-phase elliptic equations in two dimensions
(2017)
Journal Article
Fanzon, S., & Palombaro, M. (2017). Optimal lower exponent for the higher gradient integrability of solutions to two-phase elliptic equations in two dimensions. Calculus of Variations and Partial Differential Equations, 56(5), Article 137. https://doi.org/10.1007/s00526-017-1222-9
We study the higher gradient integrability of distributional solutions u to the equation div (σ∇ u) = 0 in dimension two, in the case when the essential range of σ consists of only two elliptic matrices, i.e., σ∈ { σ1, σ2} a.e. in Ω. In Nesi et al. (... Read More about Optimal lower exponent for the higher gradient integrability of solutions to two-phase elliptic equations in two dimensions.