UNIQUENESS AND COMPARISON RESULTS FOR FUNCTIONALS DEPENDING ON ∇u AND ON u
نویسنده
چکیده
We consider a variational problem, where the Lagrangean is of the form f(∇u)+αu. We introduce an explicit family of solutions to this problem and we prove uniqueness and comparison results. We show that as α tends to zero, the solutions converge to solutions of the limiting variational problem where α = 0.
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