A mixed boundary value problem for Laplace's equation involving a nearly circular disk.
Chakrabarti, A., Manna, D.P. (1994)
International Journal of Mathematics and Mathematical Sciences
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Chakrabarti, A., Manna, D.P. (1994)
International Journal of Mathematics and Mathematical Sciences
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M. L. Pasha (1977)
Applicationes Mathematicae
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Chaohao Gu (1980)
Journées équations aux dérivées partielles
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A. Azzam (1981)
Annales Polonici Mathematici
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E. Shamir (1963)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Maurizio Chicco, Marina Venturino (2006)
Bollettino dell'Unione Matematica Italiana
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We prove Holder regularity for solutions of mixed boundary value problems for a class of divergence form elliptic equations with discontinuous and unbounded coefficients, in the presence of boundary integrals.
Zlámal, M.
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Gabriele Bonanno, Elisabetta Tornatore (2010)
Annales Polonici Mathematici
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The existence of infinitely many solutions for a mixed boundary value problem is established. The approach is based on variational methods.
Guo Chun Wen (1998)
Annales Polonici Mathematici
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This paper deals with an application of complex analysis to second order equations of mixed type. We mainly discuss the discontinuous Poincaré boundary value problem for a second order linear equation of mixed (elliptic-hyperbolic) type, i.e. the generalized Lavrent’ev-Bitsadze equation with weak conditions, using the methods of complex analysis. We first give a representation of solutions for the above boundary value problem, and then give solvability conditions via the Fredholm theorem...
J. B. Díaz, R. B. Ram (1979)
Collectanea Mathematica
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