Derives Chebyshev-type inequalities to obtain robust interpolation inequalities in Gagliardo seminorms and applies them to prove nonlocal-to-local convergence for weak solutions of the regional fractional p-Laplacian.
L2-Theory for nonlocal operators on domains
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Solutions to fractional p-Laplacian equations converge optimally in W^{s,p} to local p-Laplacian solutions as s approaches 1.
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Robust interpolation inequalities via Chebyshev-type integral inequalities
Derives Chebyshev-type inequalities to obtain robust interpolation inequalities in Gagliardo seminorms and applies them to prove nonlocal-to-local convergence for weak solutions of the regional fractional p-Laplacian.
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Optimal stability of complement value problems for p-L\'evy operators
Solutions to fractional p-Laplacian equations converge optimally in W^{s,p} to local p-Laplacian solutions as s approaches 1.