Existence and location results for fully nonlinear boundary value problem of th-order nonlinear system.
Li, Sun, Zhou, Mingru, Wang, Guangwa (2009)
Boundary Value Problems [electronic only]
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Li, Sun, Zhou, Mingru, Wang, Guangwa (2009)
Boundary Value Problems [electronic only]
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Lauer, Susan D. (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Gawinecki, J. (2000)
Zeitschrift für Analysis und ihre Anwendungen
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Kwong, Man Kam, Wong, James S.W. (2007)
Boundary Value Problems [electronic only]
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Staněk, Svatoslav (1992)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Maria Neuss-Radu (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper, we study how solutions to elliptic problems with periodically oscillating coefficients behave in the neighborhood of the boundary of a domain. We extend the results known for flat boundaries to domains with curved boundaries in the case of a layered medium. This is done by generalizing the notion of boundary layer and by defining boundary correctors which lead to an approximation of order in the energy norm.
Ma, Ruyun (2007)
Applied Mathematics E-Notes [electronic only]
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Henderson, Johnny (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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