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• W3009741919 endingPage "123946" @default.
• W3009741919 startingPage "123946" @default.
• W3009741919 abstract "In this paper we treat the functional of double phase with variable exponents:∫(|Du|gp(x)+a(x)|Du|gq(x))dx, where a(x) is a non-negative α-Hölder continuous function with α∈(0,1), p(x) and q(x) Hölder continuous functions with 1<p(x)≤q(x)<p(x)+α, and |ξ|g:=(δijgαβ(x)ξαiξβj)1/2 for a continuous positive definite matrix valued function g(⋅)=(gαβ(⋅)). We prove that the minimizer of the above functional with suitable Dirichlet boundary condition is Hölder continuous up to the boundary. When g is Hölder continuous, we see also that Du is locally Hölder continuous." @default.
• W3009741919 created "2020-03-13" @default.
• W3009741919 creator A5032141714 @default.
• W3009741919 date "2020-02-01" @default.
• W3009741919 modified "2023-09-30" @default.
• W3009741919 title "Boundary regularity of minimizers of double phase functionals" @default.
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• W3009741919 doi "https://doi.org/10.1016/j.jmaa.2020.123946" @default.
• W3009741919 hasPublicationYear "2020" @default.
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