Abstract
We provide a new variational principle and duality for the problem 𝐿𝑢 = ∇𝐺(𝑢), where 𝐿 is selfadjoint and ∇𝐺 is a gradient mapping such that 𝐺 satisfies superquadratic growth conditions. The results obtained can be applied to Dirichlet problems for both ordinary and partial differential equations.
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