Hanye Zhu

Journal article Journal Fur Die Reine Und Angewandte Mathematik · January 1, 2026 We study the field concentration phenomenon between two closely spaced perfect conductors with imperfect bonding interfaces of low conductivity type. The boundary condition on these interfaces is given by a Robin-type boundary condition. We discover a new ... Full text Cite

Asymptotics of the solution to the perfect conductivity problem with p-Laplacian

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 ... 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 ... 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 ... Full text Cite