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The Neumann problem for the Stokes system in nonsmooth domains
Qianyun Miao, Fa Peng
The paper investigates the L^p Neumann problem for the Stokes system on bounded Lipschitz (nonsmooth) domains, introducing a nonlinear gradient quantity to obtain global second‑ord…
Maximal Sobolev regularity of the stress tensor for the symmetric gradient p-Laplace system
Linus Behn, Andrea Cianchi, Lars Diening +1
The symmetric -Laplace operator enters various models in mathematical physics, such as incompressible materials with power-type hardening and non-Newtonian fluids. In this work,…
Regularity of stable radial solutions to semilinear elliptic equations in MEMS problems
Fa Peng, Salvador Villegas
This paper investigates the regularity of stable radial solutions to semilinear elliptic equations arising in MEMS problems, modeled by the Dirichlet problem in the uni…
A nonlinear Calderón-Zygmund -theory for the Dirichlet problem involving
Qianyun Miao, Fa Peng, Yuan Zhou
We establish a nonlinear Calderón-Zygmund -theory to the Dirichlet problem $$-|Du|^γÎ^N_p u=f\in L^2(Ω)\quad {\rm in}\quad Ω; \quad u=0 \ \mbox{on $\partialΩ$} $$ for $n…