Hanye Zhu

Journal Article Mathematische Annalen · December 1, 2024 We study the perfect conductivity problem with closely spaced perfect conductors embedded in a homogeneous matrix where the current-electric field relation is the power law J=σ|E|p-2E. The gradient of solutions may be arbitrarily large as ε, the distance b ... Full text Cite

Gradient estimates for singular p-Laplace type equations with measure data

Journal Article Journal of the European Mathematical Society · January 1, 2024 We are concerned with interior and global gradient estimates for solutions to a class of singular quasilinear elliptic equations with measure data, whose prototype is given by the p-Laplace equation −Δpu=μ with p∈(1,2). The cases when p∈(2−n1,2) and p∈(2 ... Full text Cite

The Insulated Conductivity Problem with p-Laplacian

Journal Article Archive for Rational Mechanics and Analysis · October 1, 2023 We study the insulated conductivity problem with closely spaced insulators embedded in a homogeneous matrix where the current-electric field relation is the power law J= | E| p-2E . The gradient of solutions may blow up as ε , the distance between insulato ... Full text Cite

Gradient estimates for singular parabolic p-Laplace type equations with measure data

Journal Article Calculus of Variations and Partial Differential Equations · June 1, 2022 We are concerned with gradient estimates for solutions to a class of singular quasilinear parabolic equations with measure data, whose prototype is given by the parabolic p-Laplace equation ut- Δ pu= μ with p∈ (1 , 2). The case when p∈(2-1n+1,2) were studi ... Full text Cite