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math.AP2021
Local boundedness of variational solutions to nonlocal double phase parabolic equations
Harsh Prasad, Vivek Tewary
We prove local boundedness of variational solutions to the double phase equation \begin{align*} \partial_t u +& P.V.\int_{\mathbb{R}^N}\frac{|u(x,t)-u(y,t)|^{p-2}(u(x,t)-u(y,t))}{|…
math.AP2021
On Lipschitz regularity for bounded minimizers of functionals with (p,q) growth
Karthik Adimurthi, Vivek Tewary
We obtain Lipschitz estimates for bounded minimizers of functionals with nonstandard -growth satisfying the dimension-independent restriction with . This r…