We establish the existence and sharp global regularity results (C 0, γ C^0,γ, C 0, 1 C^0,1 and C 1, α C^1,α estimates) for a class of fully nonlinear elliptic Partial Differential Equations …
We establish the equivalence between weak and viscosity solutions to the nonhomogeneous double phase equation with lower-order term-div (| D u| p-2 D u+ a (x)| D …
JV da Silva, GC Ricarte - Calculus of Variations and Partial Differential …, 2020 - Springer
We establish sharp C_ loc^ 1, β C loc 1, β geometric regularity estimates for bounded solutions of a class of fully nonlinear elliptic equations with non-homogeneous degeneracy …
B Ge, P Pucci - Advances in Differential Equations, 2022 - projecteuclid.org
We are concerned with the following double phase problems in the whole space $$\begin {aligned}-{\rm div}(|\nabla u|^{p-2}\nabla u+ &\mu (x)|\nabla u|^{q-2}\nabla u)\\&+| u|^{p-2} …
We study properties of A A-harmonic and A A-superharmonic functions involving an operator having generalized Orlicz growth. Our framework embraces reflexive Orlicz spaces, as well …
Y Fang, C Zhang - Calculus of Variations and Partial Differential …, 2023 - Springer
We introduce a new class of quasi-linear parabolic equations involving nonhomogeneous degeneracy or/and singularity∂ tu=[| D u| q+ a (x, t)| D u| s] Δ u+(p-2) D 2 u Du| D u|, Du| D …
W Meng, C Zhang - Nonlinear Differential Equations and Applications …, 2023 - Springer
We characterize an asymptotic mean value formula in the viscosity sense for the double phase elliptic equation-div (|∇ u| p-2∇ u+ a (x)|∇ u| q-2∇ u)= 0 and the normalized double …
B Kim, J Oh - The Journal of Geometric Analysis, 2024 - Springer
In this paper, we establish regularity results for local minimizers of functionals with non- standard growth conditions and non-uniform ellipticity properties. The model case is given …
J Zhang, Z Li - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
The paper concerns the weak differentiability of weak solutions to two kinds of nonuniform nonlinear degenerate elliptic systems under the p, q-growth condition on the Heisenberg …