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References:
[1] A. Azzam: Behaviour of solutions of Dirichlet problem for elliptic equations at a corner. Indian J. Pure Appl. Math. 10 (1979), 1453-1459. MR 0551783 | Zbl 0443.35021
[2] H. Blum R. Rannacher: On the boundary value problem of the biharmonic operator on domains with angular corners. Math. Methods Appl. Sci. 2 (1980), 556-581. MR 0595625
[3] M. Borsuk D. Portnyagin: Barriers on cones for degenerate quasilinear elliptic operators. Electron. J. Differential Equations 11 (1998), 1-8. MR 1613596
[4] Ph. Ciarlet: Mathematical Elasticity I. North-Holland, Amsterdam, 1988. MR 0936420
[5] M. Dobrowolski: On quasilinear elliptic equations in domains with conical boundary points. J. Reine Angew. Math. 394 (1989), 186-195. MR 0977441 | Zbl 0655.35022
[6] G. Dziuk: Das Verhalten von Lösungen semilinearer elliptischer Systeme an Ecken eines Gebietes. Math. Z. 159 (1978), 89-100. MR 0481479 | Zbl 0375.35025
[7] M. Feistauer: Mathematical Methods in Fluid Dynamics. Longman, New York, 1993. MR 1266627 | Zbl 0819.76001
[8] A. Friedman: Mathematics in Industrial Problems 2. Springer-Verlag, New York, 1989. MR 0968664
[9] A. Friedman: Mathematics in Industrial Problems 3. Springer-Verlag, New York, 1990. MR 0968664
[10] P. Grisvard: Elliptic Problems in Nonsmooth Domains. Pitman Publishing Inc., Boston, 1985. MR 0775683 | Zbl 0695.35060
[11] V. A. Kondrat'ev: Boundary problems for elliptic equations in domains with conical or angular points. Trans. Moscow Math. Soc. 16 (1967), 209-292. MR 0226187 | Zbl 0194.13405
[12] V. A. Kozlov V. G. Maz'ya: On the spectrum of an operator pencils generated by the Dirichlet problem in a cone. Mat. Sb. 73 (1992), 27-48. MR 1124101
[13] V. A. Kozlov V. G. Maz'ya: On the spectrum of an operator pencils generated by the Neumann problem in a cone. St. Petersburg Math. J. 3 (1992), 333-353. MR 1137524
[14] V. A. Kozlov J. Rossmann: Singularities of solutions of elliptic boundary value problems near conical points. Math. Nachr. 170 (1994), 161-181. MR 1302373
[15] A. W. Leung: Systems of Nonlinear Partial Differential Equations. Kluwer, Dordrecht, 1989. MR 1621827 | Zbl 0691.35002
[16] M. Marcus V. J. Mizel: Complete characterization of functions which act, via superposition, on Sobolev spaces. Trans. Amer. Math. Soc. 251 (1979), 187-218. MR 0531975
[17] V. G. Maz'ya B. A. Plamenevsky: On the coefficients in the asymptotics of solutions of elliptic boundary value problems in domains with conical points. Math. Nachr. 76 (1977), 29-60. MR 0601608
[18] V. G. Maz'ya B. A. Plamenevsky: Weighted spaces with nonhomogeneous norms and boundary value problems in domains with conical points. Amer. Math. Soc. Transl. 123 (1984), 89-107.
[19] E. Miersemann: Asymptotic expansion of solutions of the Dirichlet problem for quasilinear elliptic equations of second order near a conical point. Math. Nachr. 135 (1988), 239-274. MR 0944231
[20] S. A. Nazarov: On the two-dimensional aperture problem for Navier-Stokes equations. C. R. Acad. Sci Paris, Sér. I Math. 323 (1996), 699-703. MR 1411068 | Zbl 0860.35096
[21] S. A. Nazarov K. I. Piletskas: Asymptotics of the solution of the nonlinear Dirichlet problem having a strong singularity near a corner point. Math. USSR Izvestiya 25 (1985), 531-550.
[22] S. A. Nazarov B. A. Plamenevsky: Elliptic Problems in Domains with Piecewise Smooth Boundaries. Walter de Gruyter, Berlin, 1994. MR 1283387
[23] M. Orlt A.-M. Sändig: Regularity of viscous Navier-Stokes Flows in nonsmooth domains. Boundary Value Problems and Integral Equations in Nonsmooth Domains (M.Costabel, M.Dauge, S.Nicaise, eds.). Marcel Dekker Inc., 1995. MR 1301336
[24] L. Recke: Applications of the implicit function theorem to quasilinear elliptic boundary value problems with non-smooth data. Comm. Partial Differential Equations 20 (1995), 1457-1479. MR 1349220 | Zbl 0838.35044
[25] P. Tolksdorf: On the Dirichlet problem for quasilinear equations in domains with conical boundary points. Comm. Partial Differential Equations 8 (1983), 773-817. MR 0700735 | Zbl 0515.35024
[26] T. Valent: Boundary Value Problems of Finite Elasticity. Springer-Verlag, New York Inc., 1988. MR 0917733 | Zbl 0648.73019
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