Boundary Regularity in Variational Problems
We prove that,if u:Ω ⊂ ℝn → ℝN is a solution to the Dirichlet variational problem involving a regular boundary datum (u0, ∂Ω) and a regular integrand F(x, w, Dw) strongly convex in Dw and satisfying suitable growth conditions, then Hn-1 -almost every boundary point is regular for u in the sense that...
| Автори: | , |
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| Формат: | Journal article |
| Мова: | English |
| Опубліковано: |
2010
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