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- W2522920281 abstract "We consider the higher differentiability of solutions to the problem of minimizing where L(|ξ|)=1/p|ξ|p and u0 ∈ W1,p(Ω). We show that, for 2 ≤ p< 3, under suitable regularity assumptions on g, there exists a solution u to the Euler–Lagrange equation associated to the minimization problem, such that In particular, for g(x,u) = f(x)u with f ∈ W1,2(Ω) and 2 ≤ p< 3, any W1,p(Ω) weak solution to the equation is in W2,2loc(Ω)." @default.
- W2522920281 created "2016-09-30" @default.
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- W2522920281 date "2017-09-21" @default.
- W2522920281 modified "2023-10-17" @default.
- W2522920281 title "The regularity of solutions to some variational problems, including the <i>p</i>-Laplace equation for 2 ≤ <i>p</i>< 3" @default.
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- W2522920281 doi "https://doi.org/10.1051/cocv/2016064" @default.
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