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math.AP2026
The Neumann problem for the Stokes system in nonsmooth domains
Qianyun Miao, Fa Peng
We study the Neumann problem for the Stokes system on bounded Lipschitz domains in with . Our main contribution is to introduce a nonlinear gradient qua…
math.AP2026
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,…
math.AP2026
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 unit…