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Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains
(Elsevier, 1997-05)
In this paper, we study the homogenization of a Dirichlet problem in perforated domains for an operator which is the perturbation of the Laplace operator by a general nonlinear term with quadratic growth in the gradient. ...
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Asymptotic behavior of nonlinear elliptic systems on varying domains
(Society for Industrial and Applied Mathematics, 2000)
We consider a monotone operator of the form Au = −div(a(x, Du)), with Ω ⊆ Rn and a : Ω×MM×N → MM×N , acting on W1,p 0 (Ω, RM). For every sequence (Ωh) of open subsets of Ω and for every f ∈ W−1,p0 (Ω, RM), 1/p+ 1/p0 = 1, ...
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Asymptotic Behaviour of Monotone Multi-Valued Dynamical Systems
(2005)
We introduce the concept of a monotone multi-valued semi- ow as an order-preserving map. This de nition is motivated by the applications in the theory of di¤erential equations without uniqueness of solutions. For an order ...
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Recent developments in dynamical systems: three perspectives
(2010)
This paper aims to an present account of some problems considered in the past years in Dynamical Systems, new research directions and also provide some open problems.
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Sistemas dinámicos estocásticos no autónomos y sistemas multivaluados
(Sociedad Española de Matemática Aplicada, 2002)
Uno de los conceptos más importantes para la descripción del comportamiento asintótico de ecuaciones en derivadas parciales de evolución disipativas es el de atractor global. Presentamos los trabajos realizados en esta ...
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Field-design optimization with triangular heliostat pods
(American Institute of Physics, 2016-05)
In this paper the optimization of a heliostat field with triangular heliostat pods is addressed. The use of structures which allow the combination of several heliostats into a common pod system aims to reduce the high ...
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On the existence and multiplicity of positive solutions for some indefinite nonlinear eigenvalue problem
(American Mathematical Society, 2004-06)
This paper concerns with the existence, uniqueness and/or multiplicity, and stability of positive solutions of an indefinite weight elliptic problem with concave or convex nonlinearity. We use mainly bifurcation method to ...
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The Lagrange-Charpit method
(Society for Industrial and Applied Mathematics, 1997-07)
We give a rigorous description of the Lagrange-Charpit method used to find a complete integral of a nonlinear p.d.e. adapted for a university course in differential equations.
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ON INITIAL AND TERMINAL VALUE PROBLEMS FOR FRACTIONAL NONCLASSICAL DIFFUSION EQUATIONS
(American Mathematical Society, 2020-06-11)
In this paper, we consider fractional nonclassical diffusion equations under two forms: initial value problem and terminal value problem. For an initial value problem, we study local existence, uniqueness, and continuous ...