39 citations · 117 across the 12 of their papers we have counts for
4 papers · 1 filter
Regularity theory for nonlocal equations with general growth in the Heisenberg group
Yuzhou Fang, Chao Zhang
We deal with a wide class of generalized nonlocal -Laplace equations, so-called nonlocal -Laplace equations, in the Heisenberg framework. Under natural hypotheses on the -…
Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations
Bin Shang, Chao Zhang
We study the mixed local and nonlocal double phase parabolic equation \begin{align*} \partial_t u(x,t)-\mathrm{div}(a(x,t)|\nabla u|^{q-2}\nabla u) +\mathcal{L}u(x,t)=0 \end{align*…
Local regularity for nonlocal double phase equations in the Heisenberg group
Yuzhou Fang, Chao Zhang, Junli Zhang
We prove interior boundedness and Hölder continuity for the weak solutions of nonlocal double phase equations in the Heisenberg group . This solves a problem raised b…
Local behaviour of the mixed local and nonlocal problems with nonstandard growth
Mengyao Ding, Yuzhou Fang, Chao Zhang
We consider the mixed local and nonlocal functionals with nonstandard growth \begin{eqnarray*} u\mapsto\int_Ω(|Du|^p-f(x)u)\,dx+\int_{\mathbb{R}^N}\int_{\mathbb{R}^N}\frac{|u(x)-u(…