Regularity and uniqueness of the first eigenfunction for singular fully non linear operators [PDF]
arXiv, 2009 In this article we prove that solutions of singular fully nonlinear partial differential equations are $C^{1,\beta}$. We also prove the simplicity of the principal eigenvalues for the Dirichlet Problem associated to these operators using that regularity, a strict comparison principle and Sard's theorem.
arxiv
Faber-Krahn inequality for Robin problem involving p-Laplacian [PDF]
arXiv, 2009 The eigenvalue problem for the p-Laplace operator with Robin boundary condition is considered in this paper. A Faber-Krahn type inequality is proved. More precisely, it is shown that amongst all the domains of fixed volume, the ball has the smallest first eigenvalue.
arxiv
A Neumann eigenvalue problem for fully nonlinear operators [PDF]
arXiv, 2010 In this paper we study the asymptotic behavior of the principal eigenvalues associated to the Pucci operator in bounded domain $\Omega$ with Neumann/Robin boundary condition i.e. $\partial_n u=\alpha u$ when $\alpha$ tends to infinity. This study requires Lipschitz estimates up to the boundary that are interesting in their own rights.
arxiv
Exponential decay of dispersion managed solitons for vanishing average dispersion [PDF]
arXiv, 2010 We show that any $L^2$ solution of the Gabitov-Turitsyn equation describing dispersion managed solitons decay exponentially in space and frequency domains. This confirms in the affirmative Lushnikov's conjecture of exponential decay of dispersion managed solitons.
arxiv
The interior transmission problem and bounds on transmission eigenvalues [PDF]
arXiv, 2010 We study the interior transmission eigenvalue problem for sign-definite multiplicative perturbations of the Laplacian in a bounded domain. We show that all but finitely many complex transmission eigenvalues are confined to a parabolic neighborhood of the positive real axis.
arxiv
arXiv, 2012 We study a non-local eigenvalue problem related to the fractional Sobolev spaces for large values of p and derive the limit equation as p goes to infinity. Its viscosity solutions have many interesting properties and the eigenvalues exhibit a strange behaviour.
arxiv
Balanced fertigation and improved sustainability of June bearing strawberry cultivated three years in open polytunnel. [PDF]
J Berry Res, 2017 Nestb R, Guéry S.
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Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property. [PDF]
Numer Math (Heidelb), 2017 Betcke MM, Voss H.
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Use of Sine Shaped High-Frequency Rhythmic Visual Stimuli Patterns for SSVEP Response Analysis and Fatigue Rate Evaluation in Normal Subjects. [PDF]
Front Hum Neurosci, 2018 Keihani A +7 more
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Temporin-SHf, a new type of phe-rich and hydrophobic ultrashort antimicrobial peptide. [PDF]
J Biol Chem, 2010 Abbassi F +6 more
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