On the spectrum of a nonlinear planar problem
Francesca Gladiali, Massimo Grossi (2009)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Existence and blow up of solutions to certain classes of two-dimensional nonlinear Neumann problems”
On the spectrum of a nonlinear planar problem
Spectrum of one dimensional -Laplacian operator with indefinite weight.
Anane, A., Chakrone, O., Moussa, M. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Optimal energy decay rate of coupled wave equations.
Benaddi, Ahmed (2004)
Portugaliae Mathematica. Nova Série
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Spontaneous breaking of continuous rotational symmetry in two dimensions.
Merkl, Franz, Rolles, Silke W.W. (2009)
Electronic Journal of Probability [electronic only]
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Large deviations for exchangeable observations with applications.
Chen, Jinwen (2004)
International Journal of Mathematics and Mathematical Sciences
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Singular limits for the bi-laplacian operator with exponential nonlinearity in
Mónica Clapp, Claudio Muñoz, Monica Musso (2008)
Annales de l'I.H.P. Analyse non linéaire
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The first eigenvalue of -Laplacian systems with nonlinear boundary conditions.
Kandilakis, D.A., Magiropoulos, M., Zographopoulos, N.B. (2005)
Boundary Value Problems [electronic only]
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Numerical analysis of the MFS for certain harmonic problems
Yiorgos-Sokratis Smyrlis, Andreas Karageorghis (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The Method of Fundamental Solutions (MFS) is a boundary-type meshless method for the solution of certain elliptic boundary value problems. In this work, we investigate the properties of the matrices that arise when the MFS is applied to the Dirichlet problem for Laplace’s equation in a disk. In particular, we study the behaviour of the eigenvalues of these matrices and the cases in which they vanish. Based on this, we propose a modified efficient numerical algorithm for the solution...