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Article Contents

# Comparison results without strict convexity

• In this paper we establish a comparison result for solutions to the problem

$\mbox{minimize}\int_\Omega l(||\nabla u(x)||)dx$

or to the problem

$\mbox{minimize}\int_\Omega l(\gamma_C(\nabla u(x))dx,$

for a special class of solutions, without assuming neither smoothness nor strict convexity of $l$.

Mathematics Subject Classification: Primary: 49K20; Secondary: 49K30.

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