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A second order elliptic equation with gradient constraint. (English) Zbl 0448.35036

MSC:
35J25 Boundary value problems for second-order elliptic equations
35J15 Second-order elliptic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35D10 Regularity of generalized solutions of PDE (MSC2000)
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References:
[1] Bensoussan A., Dunod (1978)
[2] Bony J.-M., C. R. A. S 265 pp 333– (1967)
[3] DOI: 10.1007/BF00250529 · Zbl 0214.11104 · doi:10.1007/BF00250529
[4] Brezis H., Bull. Soc. Math (1968)
[5] Caffarelli L. A., when twisting an elastic bar, to appear
[6] Duvaut G., Inequalities in Mechanics and Physics (1976) · Zbl 0331.35002 · doi:10.1007/978-3-642-66165-5
[7] Evans L. C., to appear
[8] Fleming W. H., Deterministic andstochastic Optimal Control, (1975) · doi:10.1007/978-1-4612-6380-7
[9] Gerhardt C., in Applications of Methods of Functional Analysis to Problems in Mechanics (1976)
[10] Lady[ztilde]enskaja O.A., Academic Press (1968)
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