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Alternative de Fredholm rélative au problème de Dirichlet dans un polyedre. (French) Zbl 0315.35034

MSC:
35J25 Boundary value problems for second-order elliptic equations
35D05 Existence of generalized solutions of PDE (MSC2000)
35D10 Regularity of generalized solutions of PDE (MSC2000)
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References:
[1] Agmon , Lectures on elliptic boundary value problems , Van-Nostrand , 1965 . MR 178246 | Zbl 0142.37401 · Zbl 0142.37401
[2] Courant - HILBERT, Methods of mathematical physics , Interscience , 1953 . Zbl 0051.28802 · Zbl 0051.28802
[3] Gagliardo , Caratterizzazione delle tracce sulla frontiera ..., Rend. Sem. Mat. Univ. Padova , 27 ( 1957 ), pp. 284 - 305 . Numdam | MR 102739 | Zbl 0087.10902 · Zbl 0087.10902
[4] Grisvard , Alternative de Fredholm relative au problème ..., Bollettino U.M.I. , 5 ( 1972 ), pp. 132 - 164 . MR 312068 | Zbl 0277.35035 · Zbl 0277.35035
[5] Grisvard , Problème de Dirichlet dans un cône , Ricerche di Matematica , 20 ( 1971 ), pp. 175 - 192 . MR 346308 | Zbl 0233.35024 · Zbl 0233.35024
[6] Grisvard , Théorèmes de traces relatifs à un polyèdre , C.R.A.S. , Paris , 278 ( 1974 ), pp. 1581 - 1583 . MR 352963 | Zbl 0296.46038 · Zbl 0296.46038
[7] Grisvard , Problème de Dirichlet dans un domaine non régulier , C.R.A.S. , Paris , 278 ( 1974 ), pp. 1615 - 1617 . MR 352964 | Zbl 0301.35028 · Zbl 0301.35028
[8] Kadlec , La régularité de la solution du problème de Poisson ..., Czechoslovak. Math. J. , 89 ( 1964 ), pp. 386 - 393 . Article | Zbl 0166.37703 · Zbl 0166.37703
[9] Lions - MAGENES, Problèmes aux limites non homogène et applications , Dunod , 1968 . Zbl 0165.10801 · Zbl 0165.10801
[10] Necas , Les méthodes directes en théorie des équations élliptiques , Prague , 1967 . · Zbl 1225.35003
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