“School of Mathematics”
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| Paper IPM / M / 17138 | ||||||||||||||||||
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We consider perturbations of the diffusive Hamilton-Jacobi equation
{−Δu=(1+g(x))|∇u|p in \IRN+,u=0 on ∂\IRN+,
for p>1. We prove the existence of a classical solution provided p∈(43,2) and g is bounded with uniform radial decay to zero.
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