Problèmes aux limites dans des domaines avec points de rebroussement

 Access to full text

 Full (PDF)

1. [1] Agmon ( S.), Douglis ( A.) et Nirenberg ( L.) .— Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, 1, Communications Pure Appl. Math.12 (1959), pp. 623-627. Zbl0093.10401MR125307
2. [2] Coifman ( R.) et Weiss ( G.) .— Transference methods in analysis, Conference board on Mathematical Sciences, Conference series in Mathematics, AMS, Providence Rhode Island, 31 (1977), pp. 1-59. Zbl0377.43001MR481928
3. [3] Dore ( G.) et Venni ( A.) .— On the closedness on the sum of two closed operators, Math. Zeitschrift196 (1987), pp. 189-201. Zbl0615.47002MR910825
4. [4] Grisvard ( P.) .— Elliptic problems in nonsmooth domains, Monographs and Studies in Mathematics, Pitman, 24 (1985). Zbl0695.35060MR775683
5. [5] Ibuki ( K.) .— Dirichlet problem for elliptic equations of the second order in a singular domain of R2, Journal Math. Kyoto Univ.14, n° 1 (1974), pp. 54-71. Zbl0281.35031MR333432
6. [6] Khelif ( A.) . — Problèmes aux limites pour le laplacien dans un domaine à points cuspides, CRAS, Paris, 287 (1978), pp. 1113-1116. Zbl0402.35015MR520417
7. [7] Lions ( J.-P.) et Magenes ( E.) .— Problèmes aux limites non homogènes et applications, Dunod, Paris (1968). Zbl0165.10801
8. [8] MAZ'YA ( V.) et Plamenevskii ( B.A.) .— Estimates in Lp and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary, Amer. Math. Soc. Transi., Vol. 2, 123 (1984), pp. 1-56. Zbl0554.35035

1. Jean-Luc Steux, Problème de Dirichlet pour un opérateur elliptique dans un domaine à point cuspide
2. W. Chickouche, Serge Nicaise, Regularity of the solution of some transmission problems in domains with cuspidal point