JEAN MICHEL
RAKOTOSON
Researcher to 2007
University of Poitiers
Poitiers, Francia
2016
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The Uniform Hopf Inequality for discontinuous coefficients and optimal regularity in BMO for singular problems
Journal of Mathematical Analysis and Applications, Vol. 437, Núm. 1, pp. 350-379
2011
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On Very Weak Positive Solutions to Some Semilinear Elliptic Problems With Simultaneous Singular Nonlinear and Spatial Dependence Terms
Milan Journal of Mathematics, Vol. 79, Núm. 1, pp. 233-245
2010
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On very weak solutions of semi-linear elliptic equations in the framework of weighted spaces with respect to the distance to the boundary
Discrete and Continuous Dynamical Systems, Vol. 27, Núm. 3, pp. 1037-1058
2009
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On the differentiability of very weak solutions with right-hand side data integrable with respect to the distance to the boundary
Journal of Functional Analysis, Vol. 257, Núm. 3, pp. 807-831
2008
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A generalized thin-film equation in multidimensional space
Nonlinear Analysis, Theory, Methods and Applications, Vol. 69, Núm. 4, pp. 1268-1286
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Higher order equations related to thin films: Blow-up and global existence, the influence of the initial data
Journal of Differential Equations, Vol. 244, Núm. 11, pp. 2693-2740
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Local strong solutions of a parabolic system related to the boussinesq approximation for buoyancy-driven flow with viscous heating
Advances in Differential Equations, Vol. 13, Núm. 9-10, pp. 977-1000
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Remarks on the nonviscous shallow water equations
Indiana University Mathematics Journal, Vol. 57, Núm. 6, pp. 2969-2998
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Some estimates in G Γ (p, m, w) spaces
Journal of Mathematical Analysis and Applications, Vol. 340, Núm. 2, pp. 793-805
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The generalized thin film equation with periodic-domain conditions
Applied Mathematics Letters, Vol. 21, Núm. 1, pp. 101-104
2007
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On some Bernoulli free boundary type problems for general elliptic operators
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 137, Núm. 5, pp. 895-911
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Relative rearrangement and Lebesgue spaces Lp (ṡ) with variable exponent
Journal des Mathematiques Pures et Appliquees, Vol. 88, Núm. 6, pp. 506-521
2006
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Compactness, interpolation inequalities for small Lebesgue-Sobolev spaces and applications
Calculus of Variations and Partial Differential Equations, Vol. 25, Núm. 2, pp. 187-203
2005
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Qualitative properties of some equations related to fluid mechanics
Nonlinear Analysis, Theory, Methods and Applications, Vol. 60, Núm. 3, pp. 501-514
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Remarks on global existence for a family of inequalities and applications to Mullins and Navier-Stokes equations
Advances in Differential Equations, Vol. 10, Núm. 1, pp. 1-18
2003
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Mathematical study of the equation describing the evolution of the surface of a film
Asymptotic Analysis, Vol. 33, Núm. 1, pp. 67-91
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New properties of small Lebesgue spaces and their applications
Mathematische Annalen, Vol. 326, Núm. 3, pp. 543-561
2002
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Petits espaces de Lebesgue et quelques applications
Comptes Rendus Mathematique, Vol. 334, Núm. 1, pp. 23-26
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Weakly coupled dynamical systems and applications
Asymptotic Analysis, Vol. 30, Núm. 2, pp. 161-185
2001
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An optimal compactness theorem and application to elliptic-parabolic systems
Applied Mathematics Letters, Vol. 14, Núm. 3, pp. 303-306