4 citations · 11 across the 16 of their papers we have counts for
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A De Giorgi Iteration-based Approach for the Establishment of ISS Properties for Burgers' Equation with Boundary and In-domain Disturbances
Jun Zheng, Guchuan Zhu
This note addresses input-to-state stability (ISS) properties with respect to (w.r.t.) boundary and in-domain disturbances for Burgers' equation. The developed approach is a combin…
ISS with Respect to Boundary and In-domain Disturbances for a Coupled Beam-String System
Jun Zheng, Hugo Lhachemi, Guchuan Zhu +1
This paper addresses the robust stability of a boundary controlled system coupling two partial differential equations (PDEs), namely beam and string equations, in the presence of b…
Regularity in the two-phase free boundary problems under non-standard growth conditions
Jun Zheng
In this paper, we prove several regularity results for the heterogeneous, two-phase free boundary problems $\mathcal {J}_γ(u)=\int_Ω\big(f(x,\nabla u)+λ_{+} (u^{+})^γ+λ_{-}(u^{-})^…
A minimum problem with free boundary and subcritical growth in Orlicz spaces
Jun Zheng, Leandro S. Tavares, Claudianor O. Alves
The aim of this paper is to study the heterogeneous optimization problem \begin{align*} \mathcal {J}(u)=\int_Ω(G(|\nabla u|)+qF(u^+)+hu+λ_{+}χ_{\{u>0\}} )\text{d}x\rightarrow\text{…