A note on boundary value problems for second order differential equations
L. H. Erbe, H. W. Knobloch (1990)
Annales Polonici Mathematici
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L. H. Erbe, H. W. Knobloch (1990)
Annales Polonici Mathematici
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Enache, Cristian (2006)
Boundary Value Problems [electronic only]
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A. Lasota (1980)
Annales Polonici Mathematici
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Mikhail Borsuk, Krzysztof Żyjewski (2011)
Applicationes Mathematicae
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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.
Przemysław Górka (2007)
Colloquium Mathematicae
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We examine an elliptic equation in a domain Ω whose boundary ∂Ω is countably (m-1)-rectifiable. We also assume that ∂Ω satisfies a geometrical condition. We are interested in an overdetermined boundary value problem (examined by Serrin [Arch. Ration. Mech. Anal. 43 (1971)] for classical solutions on domains with smooth boundary). We show that existence of a solution of this problem implies that Ω is an m-dimensional Euclidean ball.
Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu (2014)
Annales Polonici Mathematici
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The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.
A. R. Aftabizadeh, Joseph Wiener (1986)
Rendiconti del Seminario Matematico della Università di Padova
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Fabio Punzo, Alberto Tesei (2009)
Annales de l'I.H.P. Analyse non linéaire
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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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Henderson, Johnny, Johnson, Alvina M. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Wei, Lin, Yang, Zuodong (2010)
International Journal of Differential Equations
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