Landesman-Lazer conditions for strongly nonlinear boundary value problems
Lucio Boccardo, Pavel Drábek, Milan Kučera (1989)
Commentationes Mathematicae Universitatis Carolinae
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Lucio Boccardo, Pavel Drábek, Milan Kučera (1989)
Commentationes Mathematicae Universitatis Carolinae
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Dimitrios A. Kandilakis, Manolis Magiropoulos (2007)
Commentationes Mathematicae Universitatis Carolinae
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We study a nonlinear elliptic system with resonance part and nonlinear boundary conditions on an unbounded domain. Our approach is variational and is based on the well known Landesman-Laser type conditions.
Begehr, H., Wen, G.C., Zhao, Z. (1991)
Mathematica Pannonica
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Zhengmeng Jin, Xiaoping Yang (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we consider the initial boundary value problem of a parabolic-elliptic system for image inpainting, and establish the existence and uniqueness of weak solutions to the system in dimension two.