The -Laplacian – mascot of nonlinear analysis
Drábek, P.
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Drábek, P.
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Alves, C.O., Carrião, P.C., Miyagaki, O.H. (1998)
Abstract and Applied Analysis
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Pinasco, Juan Pablo (2004)
Abstract and Applied Analysis
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Afrouzi, G.A. (2002)
International Journal of Mathematics and Mathematical Sciences
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El Khalil, Abdelouahed, Ouanan, Mohammed, Touzani, Bdelfattah (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Drábek, P., Elkhalil, A., Touzani, A. (1997)
Abstract and Applied Analysis
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Dimitri Mugnai (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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We give the precise behaviour of some solutions of a nonlinear elliptic B.V.P. in a bounded domain when a parameter approaches an eigenvalue of the principal part. If the nonlinearity has some regularity and the domain is for example convex, we also prove a nonlinear version of Courant’s Nodal theorem.
Kandilakis, D.A., Magiropoulos, M., Zographopoulos, N.B. (2005)
Boundary Value Problems [electronic only]
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Pavel Drábek (2014)
Mathematica Bohemica
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General mathematical theories usually originate from the investigation of particular problems and notions which could not be handled by available tools and methods. The Fučík spectrum and the -Laplacian are typical examples in the field of nonlinear analysis. The systematic study of these notions during the last four decades led to several interesting and surprising results and revealed deep relationship between the linear and the nonlinear structures. This paper does not provide a...