An abstract version of the resonance theorem
B. Przeradzki (1991)
Annales Polonici Mathematici
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B. Przeradzki (1991)
Annales Polonici Mathematici
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Zdzisław Denkowski (1970)
Annales Polonici Mathematici
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Giovanni Anello (2005)
Annales Polonici Mathematici
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We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.
G. Starius (1977)
Numerische Mathematik
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D. Kinderlehrer, L. Nirenberg, J. Spruck (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We investigate the behavior of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighborhood of a boundary corner point. We find an exponent of the solution's decreasing rate under minimal assumptions on the problem coefficients.
Z. Kowalski, A. Pliś (1972)
Annales Polonici Mathematici
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Peter Hess, Bernhard Ruf (1978/79)
Mathematische Zeitschrift
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I.G. Stratis (1993)
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Ashordia, Malkhaz (1995)
Memoirs on Differential Equations and Mathematical Physics
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Berikelashvili, Givi (2001)
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Perepelkin, E. E., Zhidkov, E. P. (2001)
Computational Methods in Applied Mathematics
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