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math.AP2022
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…
math.AP2022
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…
math.AP2022
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…