Viscosity solutions of stationary Hamilton-Jacobi equations and minimizers of 𝐿^{∞} functionals

Barron, E.; Bocea, M.; Jensen, R.

doi:10.1090/proc/13668

Viscosity solutions of stationary Hamilton-Jacobi equations and minimizers of $L^{\infty }$ functionals
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by E. N. Barron, M. Bocea and R. R. Jensen PDF

Proc. Amer. Math. Soc. 145 (2017), 5257-5265 Request permission

Abstract:

Existence results for viscosity solutions to the Dirichlet problem for stationary Hamilton-Jacobi equations, the associated relaxed problem via quasiconvex envelopes, and for minimizers of the corresponding $L^\infty$ functionals are obtained for given boundary data in $W^{1,\infty }.$

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