On two-point boundary value problems for two-dimensional differential systems with singularities.
Mukhigulashvili, S. (2003)
Georgian Mathematical Journal
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Mukhigulashvili, S. (2003)
Georgian Mathematical Journal
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Chkadua, O. (1995)
Georgian Mathematical Journal
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Christer O. Kiselman (1994)
Annales Polonici Mathematici
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We study the singularities of plurisubharmonic functions using methods from convexity theory. Analyticity theorems for a refined Lelong number are proved.
Monique Dauge, Serge Nicaise (1992)
Banach Center Publications
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As a model for elliptic boundary value problems, we consider the Dirichlet problem for an elliptic operator. Solutions have singular expansions near the conical points of the domain. We give formulas for the coefficients in these expansions.
Kreith, Kurt (1994)
Georgian Mathematical Journal
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Aleksey Davydov (1995)
Banach Center Publications
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Mormul, Piotr (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Véron, Laurent (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Christodoulos Athanasiadis, Ioannis G. Stratis (1996)
Annales Polonici Mathematici
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Boundary value problems for second order linear elliptic equations with coefficients having discontinuities of the first kind on an infinite number of smooth surfaces are studied. Existence, uniqueness and regularity results are furnished for the diffraction problem in such a bounded domain, and for the corresponding transmission problem in all of . The transmission problem corresponding to the scattering of acoustic plane waves by an infinitely stratified scatterer, consisting of layers...
Duduchava, R., Natroshvili, D., Shargorodsky, E. (1995)
Georgian Mathematical Journal
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Maghnouji, Abderrahman, Nicaise, Serge (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Chudinovich, Igor, Constanda, Christian (2003)
Georgian Mathematical Journal
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Paweł Wójcik, Michail A. Sheshko, Dorota Pylak, Paweł Karczmarek (2012)
Annales UMCS, Mathematica
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In the present paper, we give the exact solutions of a singular equation with logarithmic singularities in two classes of functions and construct formulae for the approximate solutions.