Let Omega a open subset of R-n, n greater than or equal to 3, and omega subset of <()over bar> subset of Omega an open. Existence and unicity are proved for the Dirichlet problem [GRAPHICS] It is assumed that the linear part of L satisfy the conditions of Herve, B(., u, delu): Omega x R x R-n --> R satisfy Caratheodory's condition and structure conditions (H-1), (H-2) and (H-3) below. Let H denote the sheaf of L-solutions, we prove that (Omega, H) is a nonlinear Bauer harmonic space. [References: 28]
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机译:令Omega为R-n的开放子集,n大于或等于3,并令Omega的<()over bar>子集的omega子集为开放子集。证明Dirichlet问题的存在性和唯一性。[GRAPHICS]假设L的线性部分满足Herve条件,B(。,u,delu):Omega x R x Rn-> R满足Caratheodory的条件和结构条件(H-1),(H-2)和(H-3)。令H表示L解的捆,我们证明(Omega,H)是非线性的Bauer谐波空间。 [参考:28]
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