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The Dirichlet problem for Euler-Lagrange equations on arbitrary domains. (English) Zbl 0458.35037

MSC:
35J65 Nonlinear boundary value problems for linear elliptic equations
35Q05 Euler-Poisson-Darboux equations
35B50 Maximum principles in context of PDEs
35J20 Variational methods for second-order elliptic equations
49J20 Existence theories for optimal control problems involving partial differential equations
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