9 citations · 29 across the 25 of their papers we have counts for
5 papers · 1 filter
Double phase anisotropic variational problems involving critical growth
Ky Ho, Yun-Ho Kim, Chao Zhang
In this paper, we investigate some existence results for double phase anisotropic variational problems involving critical growth. We first establish a Lions type concentration-comp…
Equivalence of weak and viscosity solutions for the nonhomogeneous double phase equation
Yuzhou Fang, Vicentiu D. Radulescu, Chao Zhang
We establish the equivalence between weak and viscosity solutions to the nonhomogeneous double phase equation with lower-order term $$ -{\rm div}(|Du|^{p-2}Du+a(x)|Du|^{q-2}Du)=f(x…
Robust mixed finite element methods for a quad-curl singular perturbation problem
Xuehai Huang, Chao Zhang
Robust mixed finite element methods are developed for a quad-curl singular perturbation problem. Lower order H(grad curl)-nonconforming but H(curl)-conforming finite elements are c…
Boundedness of differential transforms for Poisson semigroups generated by Bessel operators
Chao Zhang
In this paper we analyze the convergence of the following type of series \begin{equation*} T_N f(x)=\sum_{j=N_1}^{N_2} v_j\Big(\mathcal{P}_{a_{j+1}} f(x)-\mathcal{P}_{a_{j}} f(x)\B…
Harnack inequality for the nonlocal equations with general growth
Yuzhou Fang, Chao Zhang
We consider a class of generalized nonlocal -Laplacian equations. We find some proper structural conditions to establish a version of nonlocal Harnack inequalities of weak solut…