Proves Gamma-convergence of non-homogeneous fractional p-Laplacian Dirichlet problems to the Holder infinity-Laplacian as p to infinity and examines asymptotics as k to s from above and below in De Giorgi sense.
A H\"older Infinity Laplacian obtained as limit of Orlicz Fractional Laplacians
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abstract
This paper concerns with the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous Dirichlet boundary conditions. The family of differential operators includes the fractional $p_n$-Laplacian when $p_n\to\infty$ as a particular case, tough it could be extended to a function of the H\"older quotient of order $s$, whose primitive is an Orlicz function satisfying appropriated growth conditions. The limit equation involves the H\"older infinity Laplacian.
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2019 1verdicts
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Asymptotics of Dirichlet Problems to Fractional p-Laplacian Functionals-Approach in De Giorgi Sense
Proves Gamma-convergence of non-homogeneous fractional p-Laplacian Dirichlet problems to the Holder infinity-Laplacian as p to infinity and examines asymptotics as k to s from above and below in De Giorgi sense.