References
- M. Beygmohammadi, Hopf's Type Estimates near Singular Boundary Points, Dissertation, Universitat zu Koln, 2015.
- M. Beygmohammadi and G. Sweers, Pointwise behaviour of the solution of the Poisson problem near conical points, Nonlinear Anal. 121 (2015), 173-187. https://doi.org/10.1016/j.na.2014.11.013
- H. J. Choe, K. Y. Park, and A. Sohn, Corner singularity at the multiple junction of the electric transmission, J. Korean Math. Soc. 42 (2005), no. 6, 1311-1322. https://doi.org/10.4134/JKMS.2005.42.6.1311
- R. Courant and D. Hilbert, Methods of Mathematical Physics. Vol. I, Interscience Publishers, New York, 1953.
- L. E. Fraenkel, An introduction to maximum principles and symmetry in elliptic problems, Cambridge Tracts in Mathematics, 128. Cambridge University Press, Cambridge, 2000.
- D. Gilbarg and N. S. Trudinger, Elliptic partial differential equations of second order, Second edition. Grundlehren der Mathematischen Wissenschaften, 224. Springer-Verlag, Berlin, 1983.
- P. Grisvard, Elliptic Problems in Non-Smooth Domains, Pitman, London 1985.
- P. Grisvard, Singular behaviour of elliptic problems in non Hilbertian Sobolev spaces, J. Math. Pures Appl. 74 (1995), no. 1, 3-33.
- E. Hopf, A remark on linear elliptic differential equations of second order, Proc. Amer. Math. Soc. 3 (1952), 791-793. https://doi.org/10.1090/S0002-9939-1952-0050126-X
- V. A. Kondratiev, Boundary value problems for elliptic equations in domain with conical or angular points, Trudy Moskov. Mat. Soc. 16 (1967), 227-313.
- V. A. Kozlov, V. G. Maz'ya, and J. Rossmann, Elliptic boundary value problems in domains with point singularities, Mathematical Surveys and Monographs, 52, American Mathematical Society, Providence, RI, 1997.
- R. J. LeVeque and Z. L. Li, The immersed interface method for elliptic equations with discontinuous coefficients and singular sources, SIAM J. Numer. Anal. 31 (1994), no. 4, 1019-1044. https://doi.org/10.1137/0731054
- V. Maz'ya, S. Nazarov, and B. Plamenevskij, Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. I, Operator Theory: Advances and Applications, 111. Birkhauser Verlag, Basel, 2000.
- D. Mercier, Minimal regularity of the solutions of some transmission problems, Math. Methos Appl. Sci. 26 (2003), no. 4, 321-348. https://doi.org/10.1002/mma.356
- S. Nicaise, Polygonal interface problems, Methoden und Verfahren der Mathematischen Physik, 39. Verlag Peter D. Lang, Frankfurt-am-Main, 1993.
- S. Nicaise and A. M. Sandig, General interface problems I, Math. Methods Appl. Sci. 17 (1994), no. 6, 395-429, 431-450. https://doi.org/10.1002/mma.1670170602
- Z. Seftel, A general theory of boundary value problems for elliptic systems with discontinuous coefficients, Ukrain. Math. Z. 18 (1966), no. 3, 132-136. https://doi.org/10.1007/BF02537868