On the existence of singular solutions.
Bartušek, M., Osička, J. (2001)
Georgian Mathematical Journal
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Bartušek, M., Osička, J. (2001)
Georgian Mathematical Journal
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Kiguradze, I., Půža, B., Stavroulakis, I.P. (2001)
Georgian Mathematical Journal
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Bartušek, Miroslav (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Rachůnková, Irena, Staněk, Svatoslav (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.
D. O'Regan (1991)
Annales Polonici Mathematici
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Existence of positive solution to certain classes of singular and nonsingular third order nonlinear two point boundary value problems is examined using the idea of Topological Transversality.
Cecchi, Mariella, Došlá, Zuzana, Marini, Mauro (2000)
Georgian Mathematical Journal
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Cui, Yujun, Zou, Yumei (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Junichi Aramaki (2010)
Archivum Mathematicum
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We study the boundedness of the Hausdorff measure of the singular set of any solution for a semi-linear elliptic equation in general dimensional Euclidean space . In our previous paper, we have clarified the structures of the nodal set and singular set of a solution for the semi-linear elliptic equation. In particular, we showed that the singular set is -rectifiable. In this paper, we shall show that under some additive smoothness assumptions, the -dimensional Hausdorff measure of...
Aranda, Carlos C. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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