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ON THE LOCAL CONVERGENCE OF A NEWTON-TYPE METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION
(Universidad Católica del Norte, Departamento de Matemáticas, 2008)
CONVERGENCE OF NEWTON'S METHOD UNDER THE GAMMA CONDITION
(Universidad Católica del Norte, Departamento de Matemáticas, 2006)
Some nonlocal optimal design problems
(Academic Press Inc Elsevier Science, 2018-03)
In this paper we study two optimal design problems associated to fractional Sobolev spaces Ws,p(Ω). Then we find a relationship between these two problems and finally we investigate the convergence when s↑1.
A shape optimization problem for steklov eigenvalues in oscillating domains
(EDP Sciences, 2017-04)
In this paper we study the asymptotic behavior of some optimal design problems related to nonlinear Steklov eigenvalues, under irregular (but diffeomorphic) perturbations of the domain.
Inhomogeneous torsional creep problems in anisotropic Orlicz Sobolev spaces
(American Institute of Physics, 2018-07)
In this paper, we study the asymptotic behavior of the sequence of solutions for a family of torsional creep-type problems, involving inhomogeneous and anisotropic differential operators, on a bounded domain, subject to ...
Optimal Design Problems for the First p-Fractional Eigenvalue with Mixed Boundary Conditions
(Advanced Nonlinear Studies, Inc, 2018-04)
In this paper, we study an optimal shape design problem for the first eigenvalue of the fractional p-Laplacian with mixed boundary conditions. The optimization variable is the set where the Dirichlet condition is imposed ...
Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems
(American Institute of Mathematical Sciences, 2021-05)
In this paper we analyze the asymptotic behavior of several fractional eigenvalue problems by means of Gamma-convergence methods. This method allows us to treat different eigenvalue problems under a unified framework. We ...
Complexity of an Homotopy Method at the Neighbourhood of a Zero
This paper deals with the enlargement of the region of convergence of Newton's method for solving nonlinear equations defined in Banach spaces. We have used an homotopy method to obtain approximate zeros of the considered ...
A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces
(Academic Press Inc Elsevier Science, 2016-10)
In this paper, we study the critical Sobolev embeddings W1,p(.)(Ω)⊂Lp*(.)(Ω) for variable exponent Sobolev spaces from the point of view of the Γ-convergence. More precisely we determine the Γ-limit of subcritical approximation ...
Two dimensional incompressible ideal flow around a small obstacle
(Marcel Dekker IncNew YorkEUA, 2003)